1. Multiplying or dividing each score using the same constant will change the standard deviation.
Answer
Correct Answer:
False
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2. For normal distributions, 95% of data will fall within two standard deviations of the mean.
Answer
Correct Answer:
True
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3. The definitional formula for the standard deviation requires that you know the value of the mean.
Answer
Correct Answer:
True
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4. The variance is the best estimate of variability since it takes into account all values except the mean.
Answer
Correct Answer:
False
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5. The range takes into consideration only two values regardless of the number of scores in a distribution.
Answer
Correct Answer:
True
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6. 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?
Answer
Correct Answer:
During weekdays 95% of the time, the station played between 22 and 10 songs per hour.
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7. 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?
Answer
Correct Answer:
26.75
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8. 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?
Answer
Correct Answer:
26.75
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9. The only difference in computing sample and population variance is that the SS is divided by ______ for the sample variance.
Answer
Correct Answer:
N − 1
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10. 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?
Answer
Correct Answer:
Experiment 1
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11. The variance and standard deviation can only be:
Answer
Correct Answer:
Positive.
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12. 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?
Answer
Correct Answer:
66.7; 8.2
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13. 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?
Answer
Correct Answer:
6
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14. The interquartile range (IQR) is the range of a distribution of scores:
Answer
Correct Answer:
After the top 25% and bottom 25% of the scores in that distribution are remove
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15. Which of the following distributions has the smallest variability?
Answer
Correct Answer:
Scores: 2, 3, 4, 5, and 6
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16. A researcher records the following data: 10, 10, 10, 10, and 10. How would you describe the variability of these data?
Answer
Correct Answer:
It is equal to zero because scores are the same.
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17. Which of the following is not a symbol used with populations?
Answer
Correct Answer:
M
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18. A measure of variability for the average squared distance that scores deviate from their mean is known as_____
Answer
Correct Answer:
Variance
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19. The example of variability includes_____
Answer
Correct Answer:
All of these
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20. The example of variability includes_____
Answer
Correct Answer:
All of these
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21. Upper Quartile is the median value of the upper half of a data set at the _____ percentile of a distribution.
Answer
Correct Answer:
75th
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22. Unbiased Estimator is any sample statistic obtained from a randomly selected sample that does not equals the value of its respective population parameter.
Answer
Correct Answer:
False
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23. Sum Of Squares is the _____ of scores from their mean.
Answer
Correct Answer:
Sum of squares
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24. Sum Of Squares is the _____ of scores from their mean.
Answer
Correct Answer:
Sum of squares
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25. Standard Deviation is also known as_____
Answer
Correct Answer:
Root Mean Square Deviation
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26. Standard Deviation is also known as_____
Answer
Correct Answer:
Root Mean Square Deviation
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27. A measure of_____ between the upper quartile (Q3) and lower quartile (Q1) of a data set is known as Semi-Interquartile Range.
Answer
Correct Answer:
Half of the distance
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28. A measure of_____ between the upper quartile (Q3) and lower quartile (Q1) of a data set is known as Semi-Interquartile Range.
Answer
Correct Answer:
Half of the distance
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29. Sample Variance is computed when only a portion or sample of data is measured in a population.
Answer
Correct Answer:
True
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30. Sample Standard Deviation Is calculated by taking the square root of the_____
Answer
Correct Answer:
Sample Variance
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31. Root Mean Square Deviation is calculated by taking the _____of the variance.
Answer
Correct Answer:
Square root
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32. 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.
Answer
Correct Answer:
True
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33. The difference between the largest (L) and the smallest value (S) in a data set is known as_____
Answer
Correct Answer:
Range
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34. Quartiles divide data evenly into _____ equal parts.
Answer
Correct Answer:
4
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35. Quartile Deviation is computed by dividing the IQR in_____
Answer
Correct Answer:
Half
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36. Population Variance is computed when all scores in a given population are unknown.
Answer
Correct Answer:
False
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37. Population Standard Deviation is measured by taking the _____ of the population variance.
Answer
Correct Answer:
Square root
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38. Percentiles divide a set of data into _____ equal parts.
Answer
Correct Answer:
100
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39. Median Quartile is the median value of a data set at the _____ percentile of a distribution.
Answer
Correct Answer:
50th
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40. Median is the _____ value in a distribution of data listed in numeric order.
Answer
Correct Answer:
Middle
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41. Lower Quartile is the median value of the lower half of a data set at the _____ percentile of a distribution.
Answer
Correct Answer:
25th
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42. Lower Quartile is the median value of the lower half of a data set at the _____ percentile of a distribution.
Answer
Correct Answer:
25th
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43. Interquartile Range is the range of values between the Q3 and lower Q1 quartiles of a data set.
Answer
Correct Answer:
True
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44. _____ is an example of Fractiles.
Answer
Correct Answer:
All of these
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45. Empirical Rule states that for data that are normally distributed, at least 68% of data lie within _____ standard deviation of the mean.
Answer
Correct Answer:
One
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46. Empirical Rule states that for data that are normally distributed, at least _____% of data lie within two standard deviations of the mean.
Answer
Correct Answer:
95
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47. Empirical Rule states that for data that are normally distributed, at least _____% of data lie within three standard deviations of the mean.
Answer
Correct Answer:
99.7
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48. Deviation is denoted by _____ for a sample.
Answer
Correct Answer:
X − M
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49. Deviation is denoted by _____ for a population.
Answer
Correct Answer:
X − μ
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50. Degree Of Freedom is represented as _____
Answer
Correct Answer:
N-2
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51. DEfinitional Formula For Variance requires summing the _____ of scores from their mean to compute the SS in the numerator.
Answer
Correct Answer:
Squared difference
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52. Deciles divide a set of data into_____equal parts.
Answer
Correct Answer:
10
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53. 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.
Answer
Correct Answer:
Both
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54. 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 _____
Answer
Correct Answer:
>1
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55. Biased Estimator is any sample statistic obtained from a randomly selected sample that is equal to the value of its respective population parameter.
Answer
Correct Answer:
False
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Statistics (Social And Behavioral Sciences) MCQs | Topic-wise
