Variability Statistics MCQs
Variability Statistics MCQs
Answer these 50+ Variability Statistics MCQs and assess your grip on the subject of Variability Statistics.
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1: Biased Estimator is any sample statistic obtained from a randomly selected sample that is equal to the value of its respective population parameter.
A. True
B. False
2: Chebyshev’s Theorem defines the percent of data from any distribution that will be contained within any number of standard deviations from the mean, where SD is _____
A. =1
B. >1
C. <1
D. All of these
3: Computational Formula For Variance is a way to calculate_____ without needing to sum the squared differences of scores from their mean to compute the SS in the numerator.
A. Population Variance
B. Sample Variance
C. Both
D. None
4: Deciles divide a set of data into_____equal parts.
A. 2
B. 10
C. 50
D. 100
5: DEfinitional Formula For Variance requires summing the _____ of scores from their mean to compute the SS in the numerator.
A. Square
B. Squared sum
C. Squared difference
D. Both b and c
6: Degree Of Freedom is represented as _____
A. 1-n
B. N-1
C. N-2
D. 2-n
7: Deviation is denoted by _____ for a population.
A. X − μ
B. X − M
C. X − m
D. Both a and b
8: Deviation is denoted by _____ for a sample.
A. X − μ
B. X − M
C. X − m
D. Both a and b
9: Empirical Rule states that for data that are normally distributed, at least _____% of data lie within three standard deviations of the mean.
A. 99.7
B. 99
C. 95
D. 68
10: Empirical Rule states that for data that are normally distributed, at least _____% of data lie within two standard deviations of the mean.
A. 99.7
B. 99
C. 95
D. 68
11: Empirical Rule states that for data that are normally distributed, at least 68% of data lie within _____ standard deviation of the mean.
A. One
B. Two
C. Three
D. None of these
12: _____ is an example of Fractiles.
A. Median
B. Percentiles
C. Deciles
D. All of these
13: Interquartile Range is the range of values between the Q3 and lower Q1 quartiles of a data set.
A. True
B. False
14: Lower Quartile is the median value of the lower half of a data set at the _____ percentile of a distribution.
A. 50th
B. 25th
C. 10th
D. 4th
15: Lower Quartile is the median value of the lower half of a data set at the _____ percentile of a distribution.
A. 50th
B. 25th
C. 10th
D. 4th
16: Median is the _____ value in a distribution of data listed in numeric order.
A. Upper
B. Lower
C. Middle
D. Both a and b
17: Median Quartile is the median value of a data set at the _____ percentile of a distribution.
A. 50th
B. 25th
C. 10th
D. 4th
18: Percentiles divide a set of data into _____ equal parts.
A. 10
B. 25
C. 50
D. 100
19: Population Standard Deviation is measured by taking the _____ of the population variance.
A. Difference
B. Sum
C. Square
D. Square root
20: Population Variance is computed when all scores in a given population are unknown.
A. True
B. False
21: Quartile Deviation is computed by dividing the IQR in_____
A. Half
B. Quarter
C. Octile
D. Decile
22: Quartiles divide data evenly into _____ equal parts.
A. 2
B. 4
C. 8
D. 10
23: The difference between the largest (L) and the smallest value (S) in a data set is known as_____
A. Mean
B. Median
C. Mode
D. Range
24: A way to calculate the population variance and the sample variance without needing to sum the squared differences of scores from their mean to compute the SS in the numerator is known as Raw Score Method For Variance.
A. True
B. False
25: Root Mean Square Deviation is calculated by taking the _____of the variance.
A. Square
B. Square root
C. Square of mean
D. Square root of sum
26: Sample Standard Deviation Is calculated by taking the square root of the_____
A. Standard Deviation
B. Sample Variance
C. Population Variance
D. None of these
27: Sample Variance is computed when only a portion or sample of data is measured in a population.
A. True
B. False
28: A measure of_____ between the upper quartile (Q3) and lower quartile (Q1) of a data set is known as Semi-Interquartile Range.
A. Half of the distance
B. Less than half the distance
C. More than half the distance
D. Any of these
29: A measure of_____ between the upper quartile (Q3) and lower quartile (Q1) of a data set is known as Semi-Interquartile Range.
A. Half of the distance
B. Less than half the distance
C. More than half the distance
D. Any of these
30: Standard Deviation is also known as_____
A. Root Mean Square Variance
B. Root Mean Square Deviation
C. Sample Variance
D. Population Variance
31: Standard Deviation is also known as_____
A. Root Mean Square Variance
B. Root Mean Square Deviation
C. Sample Variance
D. Population Variance
32: Sum Of Squares is the _____ of scores from their mean.
A. Sum
B. Sum of square root
C. Sum of squares
D. All of these
33: Sum Of Squares is the _____ of scores from their mean.
A. Sum
B. Sum of square root
C. Sum of squares
D. All of these
34: Unbiased Estimator is any sample statistic obtained from a randomly selected sample that does not equals the value of its respective population parameter.
A. True
B. False
35: Upper Quartile is the median value of the upper half of a data set at the _____ percentile of a distribution.
A. 25th
B. 50th
C. 75th
D. 100th
36: The example of variability includes_____
A. Range
B. Variance
C. Standard Deviation
D. All of these
37: The example of variability includes_____
A. Range
B. Variance
C. Standard Deviation
D. All of these
38: A measure of variability for the average squared distance that scores deviate from their mean is known as_____
A. Probability
B. Standard Deviation
C. Variance
D. None of these
39: Which of the following is not a symbol used with populations?
A. N
B. M
C. U
D. X
40: A researcher records the following data: 10, 10, 10, 10, and 10. How would you describe the variability of these data?
A. It is equal to zero because scores are the same.
B. It is equal to 100.
C. It is equal to 10.
D. It is very large (much greater than 0).
41: Which of the following distributions has the smallest variability?
A. Scores: 10, 13, 16, 19, and 42
B. Scores: 12, 24, 26, 48, and 60
C. Scores: 2, 3, 4, 5, and 6
D. Scores: 1, 10, 13, 24, and 35
42: The interquartile range (IQR) is the range of a distribution of scores:
A. And is the difference between the largest (L) and smallest (S) values in a list of scores.
B. And includes only the lower half of the scores.
C. And includes all values in the distribution.
D. After the top 25% and bottom 25% of the scores in that distribution are remove
43: A swimmer measures the time it takes for each of his laps and determines that a time of 15 s is at the 25th percentile, a score of 17 s is at the 50th percentile, and a score of 21 s is at the 75th percentile. What is the interquartile range (IQR) for these data?
A. 2
B. 6
C. 4
D. There is not enough information to answer this question.
44: A psychologist records the time in seconds it takes a sample of children to complete a set of problems and computes the SS = 1600. Assuming that the psychologist observed a sample of 25 children in this study, what is the variance and standard deviation for these data?
A. 80; 4.8
B. 80; 8.9
C. 66.7; 8.2
D. 66.7; 6.1
45: The variance and standard deviation can only be:
A. Zero.
B. Positive.
C. Smaller than the mean.
D. Larger than the mean.
46: The SS in two similar experiments was found to be 104. Experiment 1 had 10 participants and experiment 2 had 20 participants. Which experiment is associated with the largest variance?
A. Experiment 1
B. Experiment 2
C. Both samples have the same variance.
D. There is not enough information to answer this question.
47: The only difference in computing sample and population variance is that the SS is divided by ______ for the sample variance.
A. N
B. N
C. N − 1
D. X
48: Using the computational formula to compute SS for a specific array of values, Σx = 31 and Σx2 = 267. If this is a sample of 4 scores, then what would SS equal using the definitional formula?
A. 26.75
B. 5
C. 104
D. Not possible to know because the sample mean is not given
49: Using the computational formula to compute SS for a specific array of values, Σx = 31 and Σx2 = 267. If this is a sample of 4 scores, then what would SS equal using the definitional formula?
A. 26.75
B. 5
C. 104
D. Not possible to know because the sample mean is not given
50: A researcher records the number of songs played by a station in one hour on weekdays, with commercial interruptions. In his study, he found that the average number of songs played, the M = 16, and standard deviation = 3. Assuming the data are normally distributed, which of the following is an appropriate conclusion?
A. During weekdays 68% of the time, the station played between 16 and 13 songs per hour.
B. During weekdays 5% of the time, the station played over 25 songs per hour.
C. During weekdays 90% of the time, the station played between 22 and 10 songs per hour.
D. During weekdays 95% of the time, the station played between 22 and 10 songs per hour.
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