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Measures of Variability MCQ

The square root of the variance is the ______.

Variance

Frequency

Range

Standard deviation

Answer

Correct Answer: Standard deviation

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In a box plot, the horizontal edges of the box correspond to the ______.

Interquartile range

Range

Standard deviation

Variance

Answer

Correct Answer: Interquartile range

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The variance in math scores for middle school students in Detroit is 64 points. The standard deviation for middle school students’ math scores in Cleveland is 7. Which distribution has more variability?

The amount of variability is equal.

Detroit

There is not enough information provided.

Cleveland

Answer

Correct Answer: Detroit

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Consider the following distribution of scores: 3, 3, 9, 10. What is the value of the range?

Answer

Correct Answer: 7

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Consider the following distribution of scores: 12, 12, 15, 17. What is the value of the range?

Answer

Correct Answer: 5

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Consider the following distribution of scores: 3, 3, 9, 10. What is the value of the IQR?

Answer

Correct Answer: 6

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Which of the following is an appropriate measure of variability for interval–ratio-level variables?

Standard deviation

Range

Interquartile range

All of these

Answer

Correct Answer: All of these

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Which type of graphic representation is able to simultaneously present the range, the interquartile range, the median, and minimum and maximum scores?

IQV

Distribution

Box plot

Histogram

Answer

Correct Answer: Box plot

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When all cases in a distribution are in one category, and there is no variation, the index of qualitative variation equals ______.

–0.50

0.00

0.50

1.00

Answer

Correct Answer: 0.00

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The interquartile range can be calculated for ______.

Nominal-level variables

Ordinal-level variables

Continuous variables

Ordinal and interval–ratio variables

Answer

Correct Answer: Ordinal and interval–ratio variables

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The variance is the square ______.

Of the standard deviation

Root of the interquartile range

Of the interquartile range

Root of the standard deviation

Answer

Correct Answer: Of the standard deviation

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Consider a distribution of test scores where the highest score is 95 and the lowest score is 49. The range is ______.

140

Answer

Correct Answer: 50

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The standard deviation is a commonly used measure of variability for ______ level variables.

Nominal

Ordinal

Ratio

Interval–ratio

Answer

Correct Answer: Interval–ratio

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The interquartile range is considered a measure of ______ and a measure of variability.

Mode

Median

Mean

Central tendency

Answer

Correct Answer: Central tendency

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______ is/are the numbers that describe diversity or variation in the distribution of a variable.

Measures of variability

Quantitative variation

Measure of variance

Quantitative analysis

Answer

Correct Answer: Measures of variability

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