Variability in Statistics MCQs
Variability in Statistics MCQs
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1: Descriptive statistic of the amount of differences in a set of data for a variable is measure of variability
A. True
B. False
2: Mathematical difference between the lowest and highest scores in a set of data is called
A. Range
B. Interquartile range
C. Full range
D. Small range
3: Range of the middle 50% of the scores in a set of data is called
A. Range
B. Interquartile range
C. Full range
D. Small range
4: Average squared deviation from the mean is called
A. Range
B. Interquartile range
C. Full range
D. Variance
5: ____Formula based on the actual or literal definition of a concept.
A. Definational
B. Computational
C. Fractional
D. Rational
6: ____ formula is Algebraic manipulation of a definitional formula designed to minimize the complexity of mathematical calculations.
A. Definational
B. Computational
C. Fractional
D. Rational
7: Statistic based on a sample that systematically underestimates or overestimates the population from which the sample was drawn is biased estimate
A. True
B. False
8: Statistic based on a sample that is equally likely to underestimate or overestimate the population from which the sample was drawn is unbiased estimate
A. True
B. False
9: Square root of the variance that represents the average deviation of a score from the mean is known as standard deviation
A. True
B. False
10: Average squared deviation of a score from the population mean is population variance
A. True
B. False
11: Square root of the population variance that represents the average deviation of a score from the population mean is population standard deviation
A. True
B. False
12: Measure of variability for nominal variables is index of qualitative variation
A. Ordinal
B. Nominal
C. Normal
D. All of these
13: The standard deviation of a population is the square root of the variance.
A. True
B. False
14: Using the following data set: 20, 18, 24, 26, what is the unbiased estimate of the population standard deviation?
A. 3.16
B. 10.00
C. 3.65
D. 13.30
15: σ is a population parameter.
A. True
B. False
16: Using the scores 4, 2, 4, 0, 6, what is σ2?
A. 2.04
B. 4.16
C. 17.31
D. 20.80
17: Using the scores 6, 3, 10, 5, 2, 2, 8, 2, what is σ?
A. 2.86
B. 8.19
C. 16.38
D. 67.04
18: Computational and definitional formulas for the variance yield the same values.
A. True
B. False
19: If s = 9, what is the unbiased estimate of the population variance?
A. 3
B. 9
C. 81
D. 90
20: The interquartile range tells you ______.
A. The range of the middle 25% of the scores of a data set
B. The range of the middle 50% of the scores of a data set
C. The range of the middle 75% of the scores of a data set
D. Whether there are outliers in the data set
21: The range in a data set will accurately reflect the amount of variability in the entire distribution.
A. True
B. False
22: Using the scores 3, 5, 7, what is the value of Σ(X – X̅)2
A. 2
B. 4
C. 8
D. 15
23: When calculating s, we divide by N – 1 to get a biased estimate of the standard deviation.
A. True
B. False
24: Using the following data set: 5, 7, 9, what is the value of s?
A. 1.63
B. 2.00
C. 2.67
D. 4.00
25: Using the following data set: 8, 9, 11, 12, what is the unbiased estimate of the population variance?
A. 1.58
B. 2.50
C. 1.83
D. 3.33
26: What is the range for the group of scores 4, 8, 5, 9, 10, 4, 5?
A. 4
B. 6
C. 7
D. 10
27: Using the following data set: 2, 4, 6, what is the value of s2?
A. 1.63
B. 2.00
C. 2.67
D. 4.00
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