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Measures of Dispersion MCQ

1. _____ is defined as a measure of dispersion for variables of any level of measurement that is calculated as the proportion of cases located outside the modal category. Symbolized as VR.

Variation ratio

All of these

Answer

Correct Answer: Variation ratio

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2. _____ is a measure of dispersion calculated as the mean of the squared deviation scores. Notated as s2.

Variance

None of these

The mean

The z distribution

Answer

Correct Answer: Variance

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3. Is standard deviation computed as the square root of the variance, a measure of dispersion that is the mean of the deviation scores. Notated as s or sd?

True

False

Answer

Correct Answer: True

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4. _____ is known as based on the bounding rule, the rule stating that the proportion of cases that are not in a certain category can be found by subtracting the proportion that are in that category from 1.00.

Rule of the complement

Dichotomized

Continuous

None of these

Answer

Correct Answer: Rule of the complement

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5. _____ is defined as A measure of dispersion for continuous variables that is calculated by subtracting the smallest score from the largest. Symbolized as R.

None of these

Range

The intercept

The standardized beta

Answer

Correct Answer: Range

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6. _____ is A measure of how flat or spread out a distribution is.

None of these

Platykurtosis

They employ the mode.

The employ the t distribution.

Answer

Correct Answer: Platykurtosis

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7. Is leptokurtosis a measure of how peaked or clustered a distribution is?

False

True

Answer

Correct Answer: True

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8. _____ is known as a measure of how much a distribution curve’s width departs from normality.

None of these

Kurtosis

The DV

The quality of predictions

Answer

Correct Answer: Kurtosis

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9. _____ is defined as the amount of spread or variability among the scores in a distribution.

Dispersion

All of these

Coefficient of determination

Sign

Answer

Correct Answer: Dispersion

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10. _____ is the rule stating that all proportions range from 0.00 to 1.00.

Where two lines bisect each other

None of these

Bounding rule

The point in which the line crosses the Y-axis

Answer

Correct Answer: Bounding rule

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11. Which of the following numbers is NOT a standard deviation score?

5.47

–6.34

1.34

0.25

Answer

Correct Answer: –6.34

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12. The formula to calculate the standard deviation involves the square root.

True

False

Answer

Correct Answer: True

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13. The range is calculated using what type of scores?

Frequency scores

Z-scores

Raw scores

T-scores

Answer

Correct Answer: Raw scores

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14. Why are measures of dispersion important in statistics?

They tell us averages.

They provide information that measures of central tendency do not.

These measures are not important in statistics.

They explicitly help us organize data.

Answer

Correct Answer: They provide information that measures of central tendency do not.

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15. Which of the following statements regarding deviation scores are true?

We often end up with too many numbers.

A summary statistic that represents all scores is needed.

The sum of all deviation scores always equals zero.

All of these

Answer

Correct Answer: All of these

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16. In relation to the standard deviation what is the fundamental idea behind the normal distribution?

Many standard deviation values exist throughout the distribution.

All values in the distribution are distributed normally.

Data in the distribution are distributed normally.

Two-thirds of the scores in the distribution lie one standard deviation above or below the mean.

Answer

Correct Answer: Two-thirds of the scores in the distribution lie one standard deviation above or below the mean.

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17. Which of the following provides the definition for the standard deviation?

The range of a data set

The distance between individual raw scores and the mean

The normal distribution

All of these

Answer

Correct Answer: The distance between individual raw scores and the mean

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18. The variation ratio informs us about which of the following?

Where the data clusters

How far the data is from the mean

Where data is most frequently is occurring

The range of the data

Answer

Correct Answer: Where the data clusters

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19. The variance can be used with which of the following types of data?

Continuous

Categorical

Continuous and categorical

None of these

Answer

Correct Answer: Continuous

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20. Which of the following is the most important measure of dispersion?

Standard deviation

Variance

Standard deviation and variance

None of these

Answer

Correct Answer: Standard deviation and variance

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21. Which of the following is NOT a measure of dispersion?

Range

Variation ratio

Mode

Standard deviation

Answer

Correct Answer: Mode

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22. The bounding rule states that proportions always range from 0.00 to 1.00.

True

False

Answer

Correct Answer: True

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23. One of the range’s weaknesses as a measure of dispersion is that it is complicated to calculate.

True

False

Answer

Correct Answer: False

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24. The variation ratio can be used with nominal and ordinal data.

True

False

Answer

Correct Answer: True

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25. Dispersion and range are synonymous.

True

False

Answer

Correct Answer: False

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