Deck 7: Measures of Dispersion

Question 1

The interquartile range is the range for the middle 50 percent of values in a rank ordered distribution.

Answer 1

True

Question 2

The first step in calculating the variance is to subtract the mean from each value in a distribution.

Answer 2

True

Question 3

Which of the following statements is/are true about the boxplots?

A)They display the mean in the distribution of a variable.
B)They provide a pictorial representation of the median, interquartile range, and range in the distribution of a variable.
C)They fail to display outliers.
D)They display the standard deviation in the distribution of a variable.

Answer 3

They provide a pictorial representation of the median, interquartile range, and range in the distribution of a variable.

Question 4

The terms variability and dispersion both refer to the extent to which the values in a distribution are clustered near to each other or are scattered away from each other.

Question 5

The most commonly reported measure of dispersion is:

A)The range.
B)The interquartile Range.
C)The standard deviation.
D)The mean.

Question 6

The standard deviation in a distribution is the square root of that distribution's variance.

Question 7

Given the following values, the interquartile range is: 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16

A)5 - 13
B)4 - 13
C)4 -12
D)7 - 10

Question 8

Given the following values, the standard deviation is: 2, 2, 6, 10, 10

A)2
B)4
C)16
D)64

Question 9

Which of the following statements is true about the range?

A)It is unaffected by outliers.
B)It can be misleading if it is inflated by one or more aberrant outliers.
C)It provides more information than other measures of dispersion about the amount of variability in a distribution.
D)It refers to the middle 75% of the values in a distribution.

Question 10

Which of the following statements is true about the interquartile range?

A)It shows the middle quarter of values in a rank ordered distribution.
B)It shows the range of values falling between the 50th and 75th percentiles.
C)It has virtually no relevance to practitioners.
D)It shows the range of values falling between the 25th and 75th percentiles.

Question 11

The square root of the variance is:

A)The range.
B)The interquartile Range.
C)The standard deviation.
D)The mean.

Question 12

Measures of dispersion show:

A)How spread out data are.
B)Where most data are located in a distribution.
C)What values in a distribution are most important.
D)What values in a distribution are least important.

Question 13

Given the following values, the range is: 2, 2, 6, 10, 10

A)2
B)4
C)9
D)10

Question 14

Given the following values, the variance is: 1, 1, 5, 9, 9

A)2
B)4
C)16
D)64

Question 15

Which of the following statements is/are true about the standard deviation?

A)It is the square root of the variance.
B)It is the most commonly reported measure of dispersion.
C)It takes all of a variable's values into account.
D)All of these.

Question 16

Which of the following statements is/are true about the variance?

A)It is the square of the standard deviation.
B)It is the average of the squared deviations from the mean.
C)It takes all of a variable's values into account.
D)All of these.

Question 17

Which of the following measures of dispersion is least influenced by extreme outliers?

A)Range.
B)Interquartile Range.
C)Standard deviation.
D)Variance.

Question 18

The thick line in a boxplot represents the mode.

Question 19

The range takes all of a variable's values into account.

Question 20

The measure of dispersion that takes all of a variable's values into account is:

A)The range.
B)The interquartile Range.
C)The standard deviation.
D)The mean.