Deck 3: Descriptive Statistics: Numerical Measures

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سؤال
Growth factors for the population of Chattanooga in the past two years have been 8 and 12.The geometric mean has a value of

A) 20.
B) <strong>Growth factors for the population of Chattanooga in the past two years have been 8 and 12.The geometric mean has a value of</strong> A) 20. B)   . C)   . D) 96. <div style=padding-top: 35px> .
C) <strong>Growth factors for the population of Chattanooga in the past two years have been 8 and 12.The geometric mean has a value of</strong> A) 20. B)   . C)   . D) 96. <div style=padding-top: 35px> .
D) 96.
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سؤال
The 50th percentile is the

A) mode.
B) median.
C) mean.
D) midrange.
سؤال
Growth factors for the population of Atlanta in the past five years have been 1, 2, 3, 4 , and 5.The geometric mean is

A) 15.
B) <strong>Growth factors for the population of Atlanta in the past five years have been 1, 2, 3, 4 , and 5.The geometric mean is</strong> A) 15. B)   . C)   . D)   . <div style=padding-top: 35px> .
C) <strong>Growth factors for the population of Atlanta in the past five years have been 1, 2, 3, 4 , and 5.The geometric mean is</strong> A) 15. B)   . C)   . D)   . <div style=padding-top: 35px> .
D) <strong>Growth factors for the population of Atlanta in the past five years have been 1, 2, 3, 4 , and 5.The geometric mean is</strong> A) 15. B)   . C)   . D)   . <div style=padding-top: 35px> .
سؤال
The measure of location which is the most likely to be influenced by extreme values in the data set is the

A) range.
B) median.
C) mode.
D) mean.
سؤال
When a percentage of the smallest and largest values are deleted from a data set, the mean of the remaining data values is the _____ mean.

A) geometric
B) weighted
C) trimmed
D) interquartile
سؤال
In computing the mean of a sample, the value of ∑xi is divided by

A) n.
B) n - 1.
C) n + 1.
D) n - 2.
سؤال
Geometric mean is a measure of

A) location.
B) dispersion.
C) variability.
D) weight.
سؤال
The geometric mean of four observations is the

A) same as their weighted mean.
B) same as their arithmetic mean.
C) square root of the product of the 4 observations.
D) fourth root of the product of the 4 observations.
سؤال
If two groups of numbers have the same mean, then

A) their standard deviations must also be equal.
B) their medians must also be equal.
C) their modes must also be equal.
D) other measures of location need not be the same.
سؤال
The 75th percentile is referred to as the _____ quartile.

A) first
B) second
C) third
D) fourth
سؤال
Which of the following provides a measure of central tendency for the data?

A) Standard deviation
B) Mean
C) Variance
D) Range
سؤال
The median is a measure of

A) relative dispersion.
B) absolute dispersion.
C) central location.
D) relative location.
سؤال
The mean of the sample

A) is always smaller than the mean of the population from which the sample was taken.
B) can never be zero.
C) can never be negative.
D) can assume any value between the highest and the lowest value in the sample.
سؤال
The mean of a sample is

A) always equal to the mean of the population.
B) always smaller than the mean of the population.
C) computed by summing the data values and dividing the sum by (n - 1).
D) computed by summing all the data values and dividing the sum by the number of items.
سؤال
A numerical value used as a summary measure for a sample is known as a sample

A) error.
B) parameter.
C) statistic.
D) value.
سؤال
​The hourly wages of a sample of 130 system analysts are given below. ​ <strong>​The hourly wages of a sample of 130 system analysts are given below. ​   ​ The coefficient of variation equals ​</strong> A) ​0.30%. B) ​30%. C) ​5.4%. D) ​54%. <div style=padding-top: 35px>
The coefficient of variation equals

A) ​0.30%.
B) ​30%.
C) ​5.4%.
D) ​54%.
سؤال
The variance of a sample of 144 observations equals 576.The standard deviation of the sample equals

A) 12.
B) 21.
C) 441.
D) 63,504.
سؤال
The nth root of the product of the n observations is the

A) weighted mean.
B) geometric mean.
C) product deviation.
D) product variance.
سؤال
μ is an example of a

A) population parameter.
B) sample statistic.
C) population variance.
D) sample mean.
سؤال
The median of a sample will always equal the

A) (Q1 + Q3)/2.
B) square root of the variance.
C) 50th percentile.
D) (smallest value + largest value)/2.
سؤال
When n - 1 is used in the denominator to compute variance, the data set

A) is a sample.
B) is a population.
C) could be either a sample or a population.
D) is from a census.
سؤال
Which of the following is a measure of variability?

A) Percentiles
B) Quartiles
C) Interquartile range
D) Midrange
سؤال
The most frequently occurring value of a data set is called the

A) midrange.
B) mode.
C) mean.
D) median.
سؤال
Which of the following is not a measure of variability?

A) The range
B) The midrange
C) The standard deviation
D) The interquartile range
سؤال
The standard deviation of a sample of 81 observations equals 49.The variance of the sample equals

A) 7.
B) 9.
C) 2401.
D) 6561.
سؤال
The weights (in pounds) of a sample of 36 individuals were recorded and the following statistics were calculated. <strong>The weights (in pounds) of a sample of 36 individuals were recorded and the following statistics were calculated.   The coefficient of variation equals</strong> A) 0.1125%. B) 11.25%. C) 203.12%. D) 0.20312%. <div style=padding-top: 35px> The coefficient of variation equals

A) 0.1125%.
B) 11.25%.
C) 203.12%.
D) 0.20312%.
سؤال
In computing descriptive statistics from grouped data,

A) data values are treated as if they occur at the midpoint of a class.
B) the grouped data result is more accurate than the ungrouped result.
C) the grouped data computations are used only when a population is being analyzed.
D) none of these alternatives is correct.
سؤال
Which difficulty of range as a measure of variability is overcome by interquartile range?

A) The sum of the range variances is zero
B) The range is difficult to compute
C) The range is influenced too much by extreme values
D) The range is negative
سؤال
The value which has half of the observations above it and half the observations below it is called the

A) midrange.
B) median.
C) mean.
D) mode.
سؤال
The first quartile is the same as the

A) median.
B) 25th percentile.
C) 50th percentile.
D) 75th percentile.
سؤال
The interquartile range is

A) the 50th percentile.
B) another name for the standard deviation.
C) the difference between the largest and smallest values.
D) the difference between the third quartile and the first quartile.
سؤال
When the data are skewed to the right, the measure of Skewness will be

A) negative.
B) zero.
C) positive.
D) one.
سؤال
The heights (in inches) of 25 individuals were recorded and the following statistics were calculated <strong>The heights (in inches) of 25 individuals were recorded and the following statistics were calculated   The coefficient of variation equals</strong> A) 11.2%. B) 1120%. C) 0.4%. D) 40%. <div style=padding-top: 35px> The coefficient of variation equals

A) 11.2%.
B) 1120%.
C) 0.4%.
D) 40%.
سؤال
The difference between the largest and the smallest data values is the

A) variance.
B) interquartile range.
C) range.
D) coefficient of variation.
سؤال
If a data set has an even number of observations, the median

A) cannot be determined.
B) is the average value of the two middle items.
C) must be equal to the mean.
D) is the average value of the two middle items when all items are arranged in ascending order.
سؤال
The variance of a sample of 100 observations equals 64.The standard deviation of the sample equals

A) 8.
B) 10.
C) 4096.
D) 10,000.
سؤال
When computing the mean, the smallest value

A) can never be negative.
B) can never be zero.
C) can never be less than the mean.
D) can be any value.
سؤال
Which of the following is not a measure of central location?

A) Mean
B) Median
C) Standard deviation
D) Mode
سؤال
The pth percentile is a value such that approximately

A) p percent of the observations are less than the value and (100 - p) percent are more than this value.
B) p percent of the observations are less than the value and p percent are more than this value.
C) (100 - p) percent of the observations are less than the value and p percent are more than this value.
D) (100 - p) percent of the observations are less than the value and (100 - p) percent are more than this value.
سؤال
When data are positively skewed, the mean will usually be

A) greater than the median.
B) smaller than the median.
C) equal to the median.
D) positive.
سؤال
Which of the following symbols represents the mean of the population?

A) σ2
B) σ
C) μ
D) <strong>Which of the following symbols represents the mean of the population?</strong> A) σ<sup>2</sup> B) σ C) μ D)   <div style=padding-top: 35px>
سؤال
When should measures of location and dispersion be computed from grouped data rather than from individual data values?

A) As much as possible since computations are easier
B) Only when individual data values are unavailable
C) Whenever computer packages for descriptive statistics are unavailable
D) Only when the data are from a population
سؤال
The descriptive measure of variability that is based on the concept of a variation about the mean is the

A) range.
B) interquartile range.
C) absolute value of the range.
D) standard deviation.
سؤال
The sum of deviations of the individual data elements from their mean is

A) always greater than zero.
B) always less than zero.
C) sometimes greater than and sometimes less than zero, depending on the data elements.
D) always equal to zero.
سؤال
The variance of the sample

A) cannot be negative.
B) cannot be positive.
C) cannot be zero.
D) cannot be less than one.
سؤال
Which of the following symbols represents the mean of the sample?

A) σ2
B) σ
C) μ
D) <strong>Which of the following symbols represents the mean of the sample?</strong> A) σ<sup>2</sup> B) σ C) μ D)   <div style=padding-top: 35px>
سؤال
A numerical measure of linear association between two variables is the

A) variance.
B) covariance.
C) standard deviation.
D) coefficient of variation.
سؤال
Which of the following symbols represents the standard deviation of the population?

A) σ2
B) σ
C) μ
D) <strong>Which of the following symbols represents the standard deviation of the population?</strong> A) σ<sup>2</sup> B) σ C) μ D)   <div style=padding-top: 35px>
سؤال
The symbol σ2 is used to represent the

A) variance of the population.
B) standard deviation of the sample.
C) standard deviation of the population.
D) variance of the sample.
سؤال
The numerical value of the standard deviation can never be

A) larger than the variance.
B) zero.
C) negative.
D) smaller than the variance.
سؤال
Which of the following symbols represents the size of the population?

A) σ2
B) σ
C) μ
D) N
سؤال
The measure of variability that is influenced most by extreme values is the

A) variance.
B) standard deviation.
C) range.
D) interquartile range.
سؤال
The coefficient of variation is the

A) same as the variance.
B) standard deviation divided by the mean times 100.
C) square of the standard deviation.
D) mean divided by the standard deviation.
سؤال
The variance can never be

A) the same as the standard deviation.
B) larger than the standard deviation.
C) negative.
D) smaller than the standard deviation.
سؤال
Which of the following symbols represents the variance of the population?

A) σ2
B) σ
C) μ
D) <strong>Which of the following symbols represents the variance of the population?</strong> A) σ<sup>2</sup> B) σ C) μ D)   <div style=padding-top: 35px>
سؤال
The sample variance

A) is always smaller than the true value of the population variance.
B) is always larger than the true value of the population variance.
C) could be smaller, equal to, or larger than the true value of the population variance.
D) can never be zero.
سؤال
The measure of dispersion which is not measured in the same units as the original data is the

A) median.
B) standard deviation.
C) coefficient of determination.
D) variance.
سؤال
Which of the following symbols represents the size of the sample?

A) σ2
B) σ
C) N
D) n
سؤال
Positive values of covariance indicate

A) a positive variance of the x values.
B) a positive variance of the y values.
C) the standard deviation is positive.
D) positive relation between the independent and the dependent variables.
سؤال
The symbol σ is used to represent the

A) variance of the population.
B) standard deviation of the sample.
C) standard deviation of the population.
D) variance of the sample.
سؤال
The standard deviation of a sample was reported to be 20.The report indicated that <strong>The standard deviation of a sample was reported to be 20.The report indicated that   = 7200.What is the sample size?</strong> A) 16 B) 17 C) 18 D) 19 <div style=padding-top: 35px> = 7200.What is the sample size?

A) 16
B) 17
C) 18
D) 19
سؤال
The geometric mean of 1, 1, 8 is

A) 10.0.
B) 2.0.
C) 3.33.
D) 3.16.
سؤال
Since the median is the middle value of a data set it

A) must always be smaller than the mode.
B) must always be larger than the mode.
C) must always be smaller than the mean.
D) none of these alternatives is correct.
سؤال
Since the mode is the most frequently occurring data value, it

A) can never be larger than the mean.
B) is always larger than the median.
C) is always larger than the mean.
D) none of these alternatives is correct.
سؤال
The value of the sum of the deviations from the mean, i.e., <strong>The value of the sum of the deviations from the mean, i.e.,   must always be</strong> A) less than the zero. B) negative. C) either positive or negative depending on whether the mean is negative or positive. D) zero. <div style=padding-top: 35px> must always be

A) less than the zero.
B) negative.
C) either positive or negative depending on whether the mean is negative or positive.
D) zero.
سؤال
If the coefficient of variation is 40% and the mean is 70, then the variance is

A) 28.
B) 2800.
C) 1.75.
D) 784.
سؤال
The coefficient of correlation

A) is the same as the coefficient of determination.
B) cannot be larger than 100.
C) cannot be larger than 1.
D) cannot be negative.
سؤال
During a cold winter, the temperature stayed below zero for ten days (ranging from -20 to -5).The variance of the temperatures of the ten-day period

A) is negative since all the numbers are negative.
B) must be at least zero.
C) cannot be computed since all the numbers are negative.
D) can be either negative or positive.
سؤال
The variance of a sample was reported to be 144.The report indicated that <strong>The variance of a sample was reported to be 144.The report indicated that   = 7200.What is the sample size?</strong> A) 49 B) 50 C) 51 D) 52 <div style=padding-top: 35px> = 7200.What is the sample size?

A) 49
B) 50
C) 51
D) 52
سؤال
​From a population of size 1,000, a random sample of 100 items is selected.The mean of the sample

A) ​must be 10 times smaller than the mean of the population.
B) ​must be equal to the mean of the population, if the sample is truly random.
C) ​must be 10 times larger than the mean of the population.
D) ​can be larger, smaller or equal to the mean of the population.
سؤال
In a five number summary, which of the following is not used for data summarization?

A) The smallest value
B) The largest value
C) The mean
D) The median
سؤال
The relative frequency of a class is computed by dividing the

A) midpoint of the class by the sample size.
B) frequency of the class by the midpoint.
C) sample size by the frequency of the class.
D) frequency of the class by the sample size.
سؤال
A group of students had dinner at a local restaurant.The total bill for the dinner was $364.99.Each student paid his/her equal share of the bill, which was $21.47.How many student's were at the dinner?

A) 124
B) 365
C) 17
D) 22
سؤال
Which of the following is not a measure of variability?

A) Midrange
B) Standard deviation
C) Range
D) Interquartile range
سؤال
From a population of size 400, a random sample of 40 items is selected.The median of the sample

A) must be 200, since 400 divided by 2 is 200.
B) must be 10, since 400 divided by 40 is 10.
C) must be equal to the median of population, if the sample is truly random.
D) none of these alternatives is correct.
سؤال
The correlation coefficient ranges between

A) 0 and 1.
B) -1 and +1.
C) minus infinity and plus infinity.
D) 1 and 100.
سؤال
Given the following information:​ <strong>Given the following information:​   The mean would then be</strong> A) 12.5. B) 8. C) 0.64. D) 1.25. <div style=padding-top: 35px> The mean would then be

A) 12.5.
B) 8.
C) 0.64.
D) 1.25.
سؤال
The geometric mean of 3, 4, 6 is

A) 2.35.
B) 3.61.
C) 4.16.
D) 8.48.
سؤال
From a population of size 500, a random sample of 50 items is selected.The mode of the sample

A) must be 500.
B) must be equal to the mode of population, if the sample is truly random.
C) must be equal to the mean of the population, if the sample is truly random.
D) can be larger, smaller or equal to the mode of the population.
سؤال
The numerical value of the variance

A) is always larger than the numerical value of the standard deviation.
B) is always smaller than the numerical value of the standard deviation.
C) is negative if the mean is negative.
D) can be larger or smaller than the numerical value of the standard deviation.
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Deck 3: Descriptive Statistics: Numerical Measures
1
Growth factors for the population of Chattanooga in the past two years have been 8 and 12.The geometric mean has a value of

A) 20.
B) <strong>Growth factors for the population of Chattanooga in the past two years have been 8 and 12.The geometric mean has a value of</strong> A) 20. B)   . C)   . D) 96. .
C) <strong>Growth factors for the population of Chattanooga in the past two years have been 8 and 12.The geometric mean has a value of</strong> A) 20. B)   . C)   . D) 96. .
D) 96.
  . .
2
The 50th percentile is the

A) mode.
B) median.
C) mean.
D) midrange.
median.
3
Growth factors for the population of Atlanta in the past five years have been 1, 2, 3, 4 , and 5.The geometric mean is

A) 15.
B) <strong>Growth factors for the population of Atlanta in the past five years have been 1, 2, 3, 4 , and 5.The geometric mean is</strong> A) 15. B)   . C)   . D)   . .
C) <strong>Growth factors for the population of Atlanta in the past five years have been 1, 2, 3, 4 , and 5.The geometric mean is</strong> A) 15. B)   . C)   . D)   . .
D) <strong>Growth factors for the population of Atlanta in the past five years have been 1, 2, 3, 4 , and 5.The geometric mean is</strong> A) 15. B)   . C)   . D)   . .
  . .
4
The measure of location which is the most likely to be influenced by extreme values in the data set is the

A) range.
B) median.
C) mode.
D) mean.
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5
When a percentage of the smallest and largest values are deleted from a data set, the mean of the remaining data values is the _____ mean.

A) geometric
B) weighted
C) trimmed
D) interquartile
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6
In computing the mean of a sample, the value of ∑xi is divided by

A) n.
B) n - 1.
C) n + 1.
D) n - 2.
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7
Geometric mean is a measure of

A) location.
B) dispersion.
C) variability.
D) weight.
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8
The geometric mean of four observations is the

A) same as their weighted mean.
B) same as their arithmetic mean.
C) square root of the product of the 4 observations.
D) fourth root of the product of the 4 observations.
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9
If two groups of numbers have the same mean, then

A) their standard deviations must also be equal.
B) their medians must also be equal.
C) their modes must also be equal.
D) other measures of location need not be the same.
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10
The 75th percentile is referred to as the _____ quartile.

A) first
B) second
C) third
D) fourth
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11
Which of the following provides a measure of central tendency for the data?

A) Standard deviation
B) Mean
C) Variance
D) Range
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12
The median is a measure of

A) relative dispersion.
B) absolute dispersion.
C) central location.
D) relative location.
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13
The mean of the sample

A) is always smaller than the mean of the population from which the sample was taken.
B) can never be zero.
C) can never be negative.
D) can assume any value between the highest and the lowest value in the sample.
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14
The mean of a sample is

A) always equal to the mean of the population.
B) always smaller than the mean of the population.
C) computed by summing the data values and dividing the sum by (n - 1).
D) computed by summing all the data values and dividing the sum by the number of items.
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15
A numerical value used as a summary measure for a sample is known as a sample

A) error.
B) parameter.
C) statistic.
D) value.
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16
​The hourly wages of a sample of 130 system analysts are given below. ​ <strong>​The hourly wages of a sample of 130 system analysts are given below. ​   ​ The coefficient of variation equals ​</strong> A) ​0.30%. B) ​30%. C) ​5.4%. D) ​54%.
The coefficient of variation equals

A) ​0.30%.
B) ​30%.
C) ​5.4%.
D) ​54%.
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17
The variance of a sample of 144 observations equals 576.The standard deviation of the sample equals

A) 12.
B) 21.
C) 441.
D) 63,504.
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18
The nth root of the product of the n observations is the

A) weighted mean.
B) geometric mean.
C) product deviation.
D) product variance.
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19
μ is an example of a

A) population parameter.
B) sample statistic.
C) population variance.
D) sample mean.
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20
The median of a sample will always equal the

A) (Q1 + Q3)/2.
B) square root of the variance.
C) 50th percentile.
D) (smallest value + largest value)/2.
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21
When n - 1 is used in the denominator to compute variance, the data set

A) is a sample.
B) is a population.
C) could be either a sample or a population.
D) is from a census.
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22
Which of the following is a measure of variability?

A) Percentiles
B) Quartiles
C) Interquartile range
D) Midrange
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23
The most frequently occurring value of a data set is called the

A) midrange.
B) mode.
C) mean.
D) median.
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24
Which of the following is not a measure of variability?

A) The range
B) The midrange
C) The standard deviation
D) The interquartile range
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25
The standard deviation of a sample of 81 observations equals 49.The variance of the sample equals

A) 7.
B) 9.
C) 2401.
D) 6561.
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26
The weights (in pounds) of a sample of 36 individuals were recorded and the following statistics were calculated. <strong>The weights (in pounds) of a sample of 36 individuals were recorded and the following statistics were calculated.   The coefficient of variation equals</strong> A) 0.1125%. B) 11.25%. C) 203.12%. D) 0.20312%. The coefficient of variation equals

A) 0.1125%.
B) 11.25%.
C) 203.12%.
D) 0.20312%.
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27
In computing descriptive statistics from grouped data,

A) data values are treated as if they occur at the midpoint of a class.
B) the grouped data result is more accurate than the ungrouped result.
C) the grouped data computations are used only when a population is being analyzed.
D) none of these alternatives is correct.
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28
Which difficulty of range as a measure of variability is overcome by interquartile range?

A) The sum of the range variances is zero
B) The range is difficult to compute
C) The range is influenced too much by extreme values
D) The range is negative
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29
The value which has half of the observations above it and half the observations below it is called the

A) midrange.
B) median.
C) mean.
D) mode.
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30
The first quartile is the same as the

A) median.
B) 25th percentile.
C) 50th percentile.
D) 75th percentile.
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31
The interquartile range is

A) the 50th percentile.
B) another name for the standard deviation.
C) the difference between the largest and smallest values.
D) the difference between the third quartile and the first quartile.
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32
When the data are skewed to the right, the measure of Skewness will be

A) negative.
B) zero.
C) positive.
D) one.
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33
The heights (in inches) of 25 individuals were recorded and the following statistics were calculated <strong>The heights (in inches) of 25 individuals were recorded and the following statistics were calculated   The coefficient of variation equals</strong> A) 11.2%. B) 1120%. C) 0.4%. D) 40%. The coefficient of variation equals

A) 11.2%.
B) 1120%.
C) 0.4%.
D) 40%.
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34
The difference between the largest and the smallest data values is the

A) variance.
B) interquartile range.
C) range.
D) coefficient of variation.
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35
If a data set has an even number of observations, the median

A) cannot be determined.
B) is the average value of the two middle items.
C) must be equal to the mean.
D) is the average value of the two middle items when all items are arranged in ascending order.
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36
The variance of a sample of 100 observations equals 64.The standard deviation of the sample equals

A) 8.
B) 10.
C) 4096.
D) 10,000.
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37
When computing the mean, the smallest value

A) can never be negative.
B) can never be zero.
C) can never be less than the mean.
D) can be any value.
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38
Which of the following is not a measure of central location?

A) Mean
B) Median
C) Standard deviation
D) Mode
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39
The pth percentile is a value such that approximately

A) p percent of the observations are less than the value and (100 - p) percent are more than this value.
B) p percent of the observations are less than the value and p percent are more than this value.
C) (100 - p) percent of the observations are less than the value and p percent are more than this value.
D) (100 - p) percent of the observations are less than the value and (100 - p) percent are more than this value.
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40
When data are positively skewed, the mean will usually be

A) greater than the median.
B) smaller than the median.
C) equal to the median.
D) positive.
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41
Which of the following symbols represents the mean of the population?

A) σ2
B) σ
C) μ
D) <strong>Which of the following symbols represents the mean of the population?</strong> A) σ<sup>2</sup> B) σ C) μ D)
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42
When should measures of location and dispersion be computed from grouped data rather than from individual data values?

A) As much as possible since computations are easier
B) Only when individual data values are unavailable
C) Whenever computer packages for descriptive statistics are unavailable
D) Only when the data are from a population
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43
The descriptive measure of variability that is based on the concept of a variation about the mean is the

A) range.
B) interquartile range.
C) absolute value of the range.
D) standard deviation.
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44
The sum of deviations of the individual data elements from their mean is

A) always greater than zero.
B) always less than zero.
C) sometimes greater than and sometimes less than zero, depending on the data elements.
D) always equal to zero.
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45
The variance of the sample

A) cannot be negative.
B) cannot be positive.
C) cannot be zero.
D) cannot be less than one.
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46
Which of the following symbols represents the mean of the sample?

A) σ2
B) σ
C) μ
D) <strong>Which of the following symbols represents the mean of the sample?</strong> A) σ<sup>2</sup> B) σ C) μ D)
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47
A numerical measure of linear association between two variables is the

A) variance.
B) covariance.
C) standard deviation.
D) coefficient of variation.
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48
Which of the following symbols represents the standard deviation of the population?

A) σ2
B) σ
C) μ
D) <strong>Which of the following symbols represents the standard deviation of the population?</strong> A) σ<sup>2</sup> B) σ C) μ D)
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49
The symbol σ2 is used to represent the

A) variance of the population.
B) standard deviation of the sample.
C) standard deviation of the population.
D) variance of the sample.
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50
The numerical value of the standard deviation can never be

A) larger than the variance.
B) zero.
C) negative.
D) smaller than the variance.
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51
Which of the following symbols represents the size of the population?

A) σ2
B) σ
C) μ
D) N
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52
The measure of variability that is influenced most by extreme values is the

A) variance.
B) standard deviation.
C) range.
D) interquartile range.
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53
The coefficient of variation is the

A) same as the variance.
B) standard deviation divided by the mean times 100.
C) square of the standard deviation.
D) mean divided by the standard deviation.
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54
The variance can never be

A) the same as the standard deviation.
B) larger than the standard deviation.
C) negative.
D) smaller than the standard deviation.
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55
Which of the following symbols represents the variance of the population?

A) σ2
B) σ
C) μ
D) <strong>Which of the following symbols represents the variance of the population?</strong> A) σ<sup>2</sup> B) σ C) μ D)
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56
The sample variance

A) is always smaller than the true value of the population variance.
B) is always larger than the true value of the population variance.
C) could be smaller, equal to, or larger than the true value of the population variance.
D) can never be zero.
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57
The measure of dispersion which is not measured in the same units as the original data is the

A) median.
B) standard deviation.
C) coefficient of determination.
D) variance.
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58
Which of the following symbols represents the size of the sample?

A) σ2
B) σ
C) N
D) n
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59
Positive values of covariance indicate

A) a positive variance of the x values.
B) a positive variance of the y values.
C) the standard deviation is positive.
D) positive relation between the independent and the dependent variables.
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60
The symbol σ is used to represent the

A) variance of the population.
B) standard deviation of the sample.
C) standard deviation of the population.
D) variance of the sample.
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61
The standard deviation of a sample was reported to be 20.The report indicated that <strong>The standard deviation of a sample was reported to be 20.The report indicated that   = 7200.What is the sample size?</strong> A) 16 B) 17 C) 18 D) 19 = 7200.What is the sample size?

A) 16
B) 17
C) 18
D) 19
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62
The geometric mean of 1, 1, 8 is

A) 10.0.
B) 2.0.
C) 3.33.
D) 3.16.
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63
Since the median is the middle value of a data set it

A) must always be smaller than the mode.
B) must always be larger than the mode.
C) must always be smaller than the mean.
D) none of these alternatives is correct.
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64
Since the mode is the most frequently occurring data value, it

A) can never be larger than the mean.
B) is always larger than the median.
C) is always larger than the mean.
D) none of these alternatives is correct.
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65
The value of the sum of the deviations from the mean, i.e., <strong>The value of the sum of the deviations from the mean, i.e.,   must always be</strong> A) less than the zero. B) negative. C) either positive or negative depending on whether the mean is negative or positive. D) zero. must always be

A) less than the zero.
B) negative.
C) either positive or negative depending on whether the mean is negative or positive.
D) zero.
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66
If the coefficient of variation is 40% and the mean is 70, then the variance is

A) 28.
B) 2800.
C) 1.75.
D) 784.
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67
The coefficient of correlation

A) is the same as the coefficient of determination.
B) cannot be larger than 100.
C) cannot be larger than 1.
D) cannot be negative.
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68
During a cold winter, the temperature stayed below zero for ten days (ranging from -20 to -5).The variance of the temperatures of the ten-day period

A) is negative since all the numbers are negative.
B) must be at least zero.
C) cannot be computed since all the numbers are negative.
D) can be either negative or positive.
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69
The variance of a sample was reported to be 144.The report indicated that <strong>The variance of a sample was reported to be 144.The report indicated that   = 7200.What is the sample size?</strong> A) 49 B) 50 C) 51 D) 52 = 7200.What is the sample size?

A) 49
B) 50
C) 51
D) 52
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70
​From a population of size 1,000, a random sample of 100 items is selected.The mean of the sample

A) ​must be 10 times smaller than the mean of the population.
B) ​must be equal to the mean of the population, if the sample is truly random.
C) ​must be 10 times larger than the mean of the population.
D) ​can be larger, smaller or equal to the mean of the population.
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71
In a five number summary, which of the following is not used for data summarization?

A) The smallest value
B) The largest value
C) The mean
D) The median
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72
The relative frequency of a class is computed by dividing the

A) midpoint of the class by the sample size.
B) frequency of the class by the midpoint.
C) sample size by the frequency of the class.
D) frequency of the class by the sample size.
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73
A group of students had dinner at a local restaurant.The total bill for the dinner was $364.99.Each student paid his/her equal share of the bill, which was $21.47.How many student's were at the dinner?

A) 124
B) 365
C) 17
D) 22
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74
Which of the following is not a measure of variability?

A) Midrange
B) Standard deviation
C) Range
D) Interquartile range
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75
From a population of size 400, a random sample of 40 items is selected.The median of the sample

A) must be 200, since 400 divided by 2 is 200.
B) must be 10, since 400 divided by 40 is 10.
C) must be equal to the median of population, if the sample is truly random.
D) none of these alternatives is correct.
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76
The correlation coefficient ranges between

A) 0 and 1.
B) -1 and +1.
C) minus infinity and plus infinity.
D) 1 and 100.
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77
Given the following information:​ <strong>Given the following information:​   The mean would then be</strong> A) 12.5. B) 8. C) 0.64. D) 1.25. The mean would then be

A) 12.5.
B) 8.
C) 0.64.
D) 1.25.
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78
The geometric mean of 3, 4, 6 is

A) 2.35.
B) 3.61.
C) 4.16.
D) 8.48.
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79
From a population of size 500, a random sample of 50 items is selected.The mode of the sample

A) must be 500.
B) must be equal to the mode of population, if the sample is truly random.
C) must be equal to the mean of the population, if the sample is truly random.
D) can be larger, smaller or equal to the mode of the population.
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80
The numerical value of the variance

A) is always larger than the numerical value of the standard deviation.
B) is always smaller than the numerical value of the standard deviation.
C) is negative if the mean is negative.
D) can be larger or smaller than the numerical value of the standard deviation.
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