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Variability in Statistics MCQ

Using the following data set: 2, 4, 6, what is the value of s2?

1.63

2.00

2.67

4.00

Answer

Correct Answer: 4.00

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What is the range for the group of scores 4, 8, 5, 9, 10, 4, 5?

Answer

Correct Answer: 6

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Using the following data set: 8, 9, 11, 12, what is the unbiased estimate of the population variance?

1.58

2.50

1.83

3.33

Answer

Correct Answer: 3.33

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Using the following data set: 5, 7, 9, what is the value of s?

1.63

2.00

2.67

4.00

Answer

Correct Answer: 2.00

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When calculating s, we divide by N – 1 to get a biased estimate of the standard deviation.

True

False

Answer

Correct Answer: False

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Using the scores 3, 5, 7, what is the value of Σ(X – X̅)2

Answer

Correct Answer: 8

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The range in a data set will accurately reflect the amount of variability in the entire distribution.

True

False

Answer

Correct Answer: False

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The interquartile range tells you ______.

The range of the middle 25% of the scores of a data set

The range of the middle 50% of the scores of a data set

The range of the middle 75% of the scores of a data set

Whether there are outliers in the data set

Answer

Correct Answer: The range of the middle 50% of the scores of a data set

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If s = 9, what is the unbiased estimate of the population variance?

Answer

Correct Answer: 81

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Computational and definitional formulas for the variance yield the same values.

True

False

Answer

Correct Answer: True

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Using the scores 6, 3, 10, 5, 2, 2, 8, 2, what is σ?

2.86

8.19

16.38

67.04

Answer

Correct Answer: 2.86

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Using the scores 4, 2, 4, 0, 6, what is σ2?

2.04

4.16

17.31

20.80

Answer

Correct Answer: 4.16

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σ is a population parameter.

True

False

Answer

Correct Answer: True

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Using the following data set: 20, 18, 24, 26, what is the unbiased estimate of the population standard deviation?

3.16

10.00

3.65

13.30

Answer

Correct Answer: 3.65

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The standard deviation of a population is the square root of the variance.

True

False

Answer

Correct Answer: True

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Measure of variability for nominal variables is index of qualitative variation

Ordinal

Nominal

Normal

All of these

Answer

Correct Answer: Nominal

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Square root of the population variance that represents the average deviation of a score from the population mean is population standard deviation

True

False

Answer

Correct Answer: True

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Average squared deviation of a score from the population mean is population variance

True

False

Answer

Correct Answer: True

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Square root of the variance that represents the average deviation of a score from the mean is known as standard deviation

True

False

Answer

Correct Answer: True

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Statistic based on a sample that is equally likely to underestimate or overestimate the population from which the sample was drawn is unbiased estimate

True

False

Answer

Correct Answer: True

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Statistic based on a sample that systematically underestimates or overestimates the population from which the sample was drawn is biased estimate

True

False

Answer

Correct Answer: True

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____ formula is Algebraic manipulation of a definitional formula designed to minimize the complexity of mathematical calculations.

Definational

Computational

Fractional

Rational

Answer

Correct Answer: Computational

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____Formula based on the actual or literal definition of a concept.

Definational

Computational

Fractional

Rational

Answer

Correct Answer: Definational

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Average squared deviation from the mean is called

Range

Interquartile range

Full range

Variance

Answer

Correct Answer: Variance

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Range of the middle 50% of the scores in a set of data is called

Range

Interquartile range

Full range

Small range

Answer

Correct Answer: Interquartile range

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Mathematical difference between the lowest and highest scores in a set of data is called

Range

Interquartile range

Full range

Small range

Answer

Correct Answer: Range

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Descriptive statistic of the amount of differences in a set of data for a variable is measure of variability

True

False

Answer

Correct Answer: True

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