Deck 4: Measures of Variability

Question 1

Numbers that describe diversity in a distribution are referred to as measures of

A)central tendency.
B)association.
C)variability.
D)standard deviation.

Answer 1

variability.

Question 2

Consider the following hypothetical scores: 21,25,37,38,39,42,44,45.What is the value of the interquartile range?

A)1
B)5
C)17
D)24

Answer 2

17

Question 3

SELECT ALL THAT APPLY.Consider the following hypothetical data: Catholic = 32,Protestant = 25,Jewish = 4,Muslim = 8,Other = 29,and None = 2.
Which of the following statements are true?

A)IQV = 0.89
B)IQV = 0.11
C)Number of religious difference is 89% of the maximum possible difference
D)Number of religious difference is 11% of the maximum possible difference

Answer 3

IQV = 0.89
Number of religious difference is 89% of the maximum possible difference

Question 4

A graphic device that is able to simultaneously present the range,the interquartile range,the median,and the minimum and maximum scores is referred to as a

A)box plot.
B)the bar graph.
C)the histogram.
D)the line graph.

Question 5

Consider the following hypothetical scores: 21,25,37,38,39,42,44,45.What is the closest value of the mean?

A)1
B)5
C)36
D)24

Question 6

Which three quantities are needed to calculate the variance?

A)Mean,median,and mode
B)Mean,observed Y,N
C)Median,observed Y,N
D)Mean,standard deviation,N

Question 7

The index of qualitative variation can vary from

A)-1.00 to 0.00.
B)0.00 to 0.50.
C)0.00 to 1.00.
D)-1.00 to 1.00.

Question 8

The range is a measure of variability for

A)only ordinal variables.
B)ordinal variables.
C)only interval-ratio variables.
D)interval ratio variables.

Question 9

Consider the following hypothetical scores: 21,25,37,38,39,42,44,45.Which value is closest to the standard deviation?

A)9
B)17
C)24
D)77

Question 10

The width of the middle 50% of a distribution,defined as the difference between the third and first quartiles,is referred to as the

A)interquartile range.
B)range.
C)standard deviation.
D)variance.

Question 11

Consider the following hypothetical scores: 21,25,37,38,39,42,44,45.What is the value of the range?

A)1
B)5
C)17
D)24

Question 12

The type of information on how scores are spread from the center of a distribution is obtained by

A)measures of central tendency.
B)measures of variability.
C)median.
D)mean.

Question 13

Consider the following hypothetical scores: 21,25,37,38,39,42,44,45.Which value is closest to the variance?

A)9
B)19
C)24
D)77

Question 14

Which measure of variability is used for nominal variables such as race and ethnicity?

A)Mode
B)Index of qualitative variation
C)Standard deviation
D)Stratified variance

Question 15

The quantity that is arrived at by taking the highest score minus the lowest score is referred to as the

A)interquartile range.
B)range.
C)standard deviation.
D)variance.

Question 16

How can an IQV of .35,which describes the level of racial diversity in a southern U.S.state,be interpreted?

A)35 respondents account for the total amount of variability in the state.
B)35 respondents do not account for the total amount of variability in the state.
C)There is more variability for 35% of the respondents compared to the remaining 65%.
D)The southern state of interest sees 35% of the maximum possible racial differences.

Question 17

SELECT ALL THAT APPLY.The interquartile range is a measure of variability for

A)only ordinal variables.
B)ordinal variables.
C)only interval-ratio variables.
D)interval-ratio variables.

Question 18

Which measure of variability is the average of the squared deviations from the mean and is used for interval-ratio variables?

A)IQV
B)Interquartile range
C)Variance
D)Standard deviation

Question 19

Which measure of variability is used for interval-ratio variables and is the square root of the average of the squared deviations from the mean?

A)IQV
B)Interquartile range
C)Variance
D)Standard deviation

Question 20

Consider the variable,type of birth control practiced (e.g.,an IUD,condoms,none,etc).Which measure of variability is best suited to describe variation in the distribution of this variable?

A)IQV
B)Range
C)Variance
D)Standard deviation

Question 21

SELECT ALL THAT APPLY.In a distribution where all the scores are identical,

A)the standard deviation is zero.
B)distribution is skewed.
C)the variance is zero.
D)the mean,median,and mode are all the same.

Question 22

The box plot of a perfectly symmetrical distribution will have the box at the centre of the range as well as the median in the center of the box.

Question 23

Calculate and provide a substantive interpretation of the value of the IQV.

Question 24

Construct a box plot based on the following sub-sample: 2,7,4,4,1,2,2,3,1,2,4,5.Be sure to show the following quantities in your box plot: the minimum score,the maximum score,the range,interquartile range,and the median.

Question 25

The range is based on only one score.

Question 26

IQV is based on the ratio of the total number of differences in the distribution to the maximum number of possible differences within the same distribution.

Question 27

The simplest and most straightforward measure of variation is the range.

Question 28

SELECT ALL THAT APPLY.The box plot can visually present

A)the range.
B)the IQR.
C)the median.
D)the IQV.

Question 29

The variance is a measure of variation applicable only to ordinal variable.

Question 30

Calculate the value of the interquartile range for the following sub-sample: 24,27,35,31,21,22,28,18,25,24,36,20.

Question 31

Calculate the value of the interquartile range for the following sub-sample: 2,7,4,4,1,2,2,3,1,2,4,5.

Question 32

Calculate the range for the following sub-sample: 2,7,4,4,1,2,2,3,1,2,4,5.

Question 33

Suppose you are interested in examining the variability in current marital status by race.Which measure of variability would you use and why?

Question 34

Calculate the values of the mean for the following sub-sample: 2,7,4,4,1,2,2,3,1,2,4,5.

Question 35

Calculate the values of the mean for the following sub-sample: 24,27,35,31,21,22,28,18,25,24,36,20.

Question 36

SELECT ALL THAT APPLY.The formula for calculating interquartile range is

A)Q3 - Q1.
B)Q1 - Q3.
C)25th percentile - 75th percentile.
D)75th percentile - 25th percentile.

Question 37

The sum of the deviations of scores from the mean is always positive.

Question 38

The quantities that are needed to calculate IQV are: the number of categories and the sum of all percentages in the distribution.

Question 39

Calculate the value of the appropriate measure of variability for each racial group.

Question 40

Calculate the range for the following sub-sample: 24,27,35,31,21,22,28,18,25,24,36,20.

Question 41

Calculate the value of variance for the following sub-sample: 2,7,4,4,1,2,2,3,1,2,4,5

Question 42

Calculate the value of the standard deviation for the following sub-sample: 3,13,-4,10,0,12,-1,-2,6,9,5,11.

Question 43

What is the most basic consideration in choosing a measure of variability?

Question 44

Calculate the value of the standard deviation for the following sub-sample: 24,27,35,31,21,22,28,18,25,24,36,20.

Question 45

Construct a box plot based on the following data: 24,27,35,31,21,22,28,18,25,24,36,20.Be sure to show the following quantities in your box plot: the minimum score,the maximum score,the range,interquartile range,and the median.

Question 46

What are the relative strengths and weaknesses of using standard deviation as a measure of variability?

Question 47

Calculate the value of the standard deviation for the following sub-sample: 2,7,4,4,1,2,2,3,1,2,4,5

Question 48

Calculate the value of variance for the following sub-sample: 24,27,35,31,21,22,28,18,25,24,36,20.

Question 49

Calculate the value of the variance for the following sub-sample: 3,13,-4,10,0,12,-1,-2,6,9,5,11

Question 50

What are the relative strengths and weaknesses of using range as a measure of variability?