Deck 4: Describing Data: Displaying and Exploring Data

Question 1

A box plot shows the skewness of a distribution.

Answer 1

True

Question 2

The "box" in a box plot shows the interquartile range.

Answer 2

True

Question 3

A scatter diagram of sales versus production may be constructed by plotting the minimum, first quartile, median, third quartile, and the maximum values of each variable.

Answer 3

False

Question 4

Quartiles divide a distribution into four equal parts.

Question 5

If a distribution is negatively skewed, the distribution is not symmetrical and the long tail is to the left.

Question 6

The coefficient of skewness is the standard deviation divided by the mean.

Question 7

Pearson's coefficient of skewness is a measure of a distribution's symmetry.

Question 8

Percentiles divide a distribution into 100 equal parts.

Question 9

A dot plot is useful for showing individual observations.

Question 10

A scatter diagram is used to illustrate a relationship between gender and the preference for Coke or Pepsi.

Question 11

A dot plot shows the symmetry of a distribution.

Question 12

The 50^th percentile of a distribution is the same as the distribution mean.

Question 13

A student scored in the 85^th percentile on a standardized test. This means that the student scored lower than 85% of all students who took the test.

Question 14

Quartiles divide a distribution into 10 equal parts.

Question 15

A dot plot is useful for showing the range of the data.

Question 16

A scatter diagram of sales versus production is labeled with sales on the Y-axis and production on the X-axis.

Question 17

A dot plot is an easy way to represent the relationship between two variables.

Question 18

A box plot graphically shows the 10^th and 90^th percentiles.

Question 19

A dot plot is useful for quickly graphing frequencies in a small data set.

Question 20

A relationship between two nominal variables is summarized by a contingency table.

Question 21

What statistics are needed to draw a box plot?

A)The minimum, maximum, median, first and third quartiles.
B)The median, mean, and standard deviation.
C)The median and interquartile range.
D)The mean and standard deviation.

Question 22

The following graph is a

A)Dot plot
B)Stem-and-leaf display
C)Box plot
D)Contingency table

Question 23

A box plot shows ___________.

A)The mean and variance
B)The relative symmetry of a distribution for a set of data
C)The 10^th and 90^th percentiles of a distribution
D)The deciles of a distribution

Question 24

Outliers are clearly presented in a _____________.

A)Dot plot
B)Stem-and-leaf display
C)Box plot
D)Contingency table

Question 25

A dot plot shows ____________.

A)The general shape of a distribution
B)The mean, median, and mode
C)The relationship between two variables
D)The interquartile range

Question 26

Quartiles divide a distribution into ___________.

A)2 equal parts
B)4 equal parts
C)10 equal parts
D)100 equal parts

Question 27

If the coefficient of skewness is equal to zero, the shape of the distribution is __________.

A)Negatively skewed
B)Symmetric
C)Positively skewed
D)Unknown

Question 28

What does the interquartile range describe?

A)The range of the lower 50% of the observations
B)The range of the middle 50% of the observations
C)The range of the upper 50% of the observations
D)The ranges of the lower 25% and the upper 25% of the observations

Question 29

Percentiles divide a distribution into _____________.

A)2 equal parts
B)4 equal parts
C)10 equal parts
D)100 equal parts

Question 30

The following graph is a ____________.

A)Dot plot
B)Stem-and-leaf diagram
C)Box plot
D)Contingency table

Question 31

A dot plot is best applied when _____________________.

A)The mean, median, and mode are equal
B)The general shape of a distribution is symmetric
C)The relationship between two variables is summarized
D)A single variable is summarized

Question 32

In the following set of data: what are the first, second, and third quartiles?

A)1, 6, and 100
B)3, 5, and 9
C)3, 6, and 9
D)1, 5, and 100

Question 33

The interquartile range is graphically presented in a ___________.

A)Dot plot
B)Stem-and-leaf display
C)Box plot
D)Contingency table

Question 34

In a distribution, the second quartile corresponds with the __________.

A)Mean
B)Median
C)Mode
D)Variance

Question 35

A dot plot is best applied for a data set with __________.

A)1,000 observations
B)50 observations
C)More than one variable
D)One mode

Question 36

Using the following statistics to describe a distribution of data, what is the interquartile range? Minimum = 10
Q1 = 25
Median = 50
Q3 = 75
Maximum = 95

A)85
B)50
C)15
D)20

Question 37

A dot plot can be used to show _________________.

A)The mean, median, and mode
B)The general shape of a distribution for a nominal qualitative variable
C)The distribution for a quantitative variable
D)The interquartile range

Question 38

If a student places in the 99^th percentile on an exam, she performed better than 99% of all students who completed the exam. Her performance is similar to a statement based on a __________.

A)Frequency table
B)Cumulative frequency distribution
C)Histogram
D)Pie chart

Question 39

The test scores for a class of 147 students are computed. What is the location of the test score associated with the third quartile?

A)111
B)37
C)74
D)75%

Question 40

To locate the percentile for a given observation in a data set, the data must be ___________.

A)Sorted and listed from the minimum to the maximum values
B)Displayed in a histogram
C)Summarized in a frequency distribution
D)Distributed symmetrically around the mean

Question 41

If the mean of a distribution is smaller than the median and mode, the sign of Pearson's coefficient of skewness is ______________.

Question 42

In a contingency table, we describe the relationship between ________.

A)Two variables measured at the ordinal or nominal level
B)Two variables, one measured as an ordinal variable and the other as a ratio variable
C)Two variables measured at the interval or ratio level
D)A variable measure on the interval or ratio level and time

Question 43

What is the value of the Pearson coefficient of skewness for a distribution with a mean of 17, a median of 12, and a standard deviation of 6?

A)+2.5
B)-2.5
C)+0.83
D)-0.83

Question 44

The following graph is _______________.

A)Positively skewed
B)Negatively skewed
C)Symmetric
D)Uniformly distributed

Question 45

A ___________ uses dots to show frequencies.

Question 46

What is the possible range of values for Pearson's coefficient of skewness?

A)-1 and +1
B)-3 and +3
C)0% and 100%
D)Unlimited values

Question 47

In a symmetric distribution, is the 99^th percentile is located in the ________ tail.

Question 48

A large oil company is studying the number of gallons of gasoline purchased per customer at self-service pumps. The mean number of gallons is 10.0, with a standard deviation of 3.0 gallons. The median is 10.75 gallons. What is Pearson's coefficient of skewness in this instance?

A)-1.00
B)-0.75
C)+0.75
D)+1.00

Question 49

The following graph illustrates _______________.

A)A positive or direct relationship
B)A negative or inverse relationship
C)No relationship
D)A distribution for a single variable

Question 50

In a scatter diagram, we describe the relationship between __________.

A)Two variables measured at the ordinal level
B)Two variables, one measured as an ordinal variable and the other as a ratio variable
C)Two variables measured at the interval or ratio level
D)A variable measure on the interval or ratio level and time

Question 51

The interquartile range is the distance between ___________.

Question 52

The range of the coefficient of skewness is ____________.

A)Values greater than or equal to zero or always positive
B)Values less than or equal to zero or always negative
C)Both positive and negative values
D)Values between -1 and +1

Question 53

A __________ shows the interquartile range.

Question 54

A ___________ is the best way to display the relationship between two variables measured on an interval or ratio level.

Question 55

In a negatively skewed distribution, the coefficient of skewness is ______________.

Question 56

The following graph is a ___________.

A)Dot plot
B)Stem-and-leaf display
C)Box plot
D)Scatter plot

Question 57

A __________ clearly shows outliers.

Question 58

In a positively skewed distribution, the 50^th percentile is the same as the ______________.

Question 59

A contingency table would be used to summarize data such as ________.

A)Company employees by gender and organizational title
B)Company employees by gender and age
C)Company employees by compensation and age
D)Company employees by compensation and years with the company

Question 60

A sample of experienced typists revealed that their mean typing speed is 87 words per minute and the median typing speed is 73 words per minute. The standard deviation of typing speed is 16.9 words per minute. What is the Pearson coefficient of skewness?

A)-2.5
B)-4.2
C)+4.2
D)+2.5

Question 61

The coefficient of skewness measures a distribution's ____________ symmetry.

Question 62

Given the sample information in the following table regarding public opinion on gun control, who is more likely to favor gun control?

Question 63

A scatter diagram shows the ____________ between two interval or ratio variables.

Question 64

The types of variables called _______________ are summarized in a contingency table.

Question 65

The _____________ unit of measurement is used to express the coefficient of skewness.

Question 66

Community Hospital collected data on the length of time that patients stayed in the intensive care ward. The mean time was 28 days, the median 25 days, and the modal time 23 days. The standard deviation was computed to be 4.2 days. What is Pearson's coefficient of skewness in this instance?

Question 67

A telemarketing firm is monitoring the performance of its employees based on the number of sales per hour. One employee had the following sales for the last 19 hours. What is the third quartile for the distribution of number of sales per hour?

Question 68

A telemarketing firm is monitoring the performance of its employees based on the number of sales per hour. One employee had the following sales for the last 20 hours. Draw a dot plot for the data.

Question 69

A telemarketing firm is monitoring the performance of its employees based on the number of sales per hour. One employee had the following sales for the last 19 hours. What is the median for the distribution of number of sales per hour?

Question 70

The ______________ is used to measure the relative symmetry of a distribution.

Question 71

Given the sample information in the following table regarding public opinion on gun control, what percent of Democrats have no opinion?

Question 72

The following is an example of a ___________________________.

Question 73

Pearson's coefficient of skewness (Sk) ranges from -3.0 to +3.0. It is computed by subtracting the median from the mean, multiplying the result by 3, and dividing by the _______________.

Question 74

Quartiles divide a frequency distribution into _______ equal parts.

Question 75

A telemarketing firm is monitoring the performance of its employees based on the number of sales per hour. One employee had the following sales for the last 19 hours. For the distribution of number of sales per hour, what is the interquartile range?

Question 76

A telemarketing firm is monitoring the performance of its employees based on the number of sales per hour. One employee had the following sales for the last 19 hours. What is the first quartile for the distribution of number of sales per hour?

Question 77

A sample of the homes currently offered for sale revealed that the mean asking price is $75,900, the median $70,100, and the modal price is $67,200. The standard deviation of the distribution is $5,900. What is Pearson's coefficient of skewness in this sample?

Question 78

A telemarketing firm is monitoring the performance of its employees based on the number of sales per hour. One employee had the following sales for the last 19 hours. For the distribution of number of sales per hour, 50% are equal or greater than ___________.

Question 79

The research director of a large oil company studied the buying habits of consumers with respect to the amount of gasoline purchased at full-service pumps. The sample mean amount is 11.5 gallons and the median amount is 11.95 gallons. The standard deviation of the sample is 4.5 gallons. What is Pearson's coefficient of skewness here?

Question 80

Percentiles divide a frequency distribution into _________ equal parts.