Measures of Central Tendency and Dispersion - One Line Questions

1. What is the variance of the dataset: 2, 2, 2, 2? — 0
2. What is the mean of the dataset: 10, 10, 10, 10, 10? — 10
3. If the mean is 20 and the standard deviation is 4, what is the coefficient of variation (CV)? — 0.2
4. For a dataset with values 1, 3, 5, 7, 9, what is the mean of the first and last value (Midrange)? — 5
5. In a dataset, Q1 = 10 and Q3 = 25. What is the Interquartile Range? — 15
6. For a dataset with values 5, 10, 15, 20, 25, what is Q3? — 20
7. A dataset has values: 10, 12, 15, 16, 17. What is the median? — 15
8. Consider the dataset: 1, 2, 3, 4, 5, 6. What is the median? — 3.5
9. What is the median of the dataset: 10, 20, 30, 40, 50, 60? — 35
10. A dataset has values: 2, 4, 6, 8, 10. What is the mean? — 6
11. A dataset has values: 5, 7, 7, 8, 9, 10. What is the mode? — 7
12. A dataset has values: 3, 5, 7, 9, 11. What is the range? — 8
13. If the standard deviation of a dataset is 5, what is its variance? — 25
14. The sum of the first n natural numbers is n(n+1)/2. What is the mean of the first 10 natural numbers? — 5.5
15. For a dataset with values 5, 10, 15, 20, 25, what is Q1? — 10
16. The sum of deviations from the median is minimized when the deviations are taken as: — Absolute deviations
17. Which measure of central tendency is calculated by multiplying the values and taking the nth root? — Geometric Mean
18. The median of a dataset with an even number of observations is the: — Average of the two middle observations
19. Variance is a measure of: — Dispersion
20. The coefficient of variation is a measure of: — Relative dispersion
21. If all values in a dataset are the same, the standard deviation is: — Zero
22. The sum of deviations of each observation from the mean is always: — Zero
23. If a dataset has an odd number of observations, the median is the: — Middle observation when data is ordered
24. The second quartile (Q2) of a dataset is equivalent to the: — Median
25. Which measure of dispersion is sensitive to extreme values? — Standard Deviation
26. If the mode of a dataset is 15, it means that the value 15: — Occurs most frequently
27. The interquartile range (IQR) is the difference between the: — Third quartile and the first quartile
28. Which measure of central tendency is suitable for qualitative data? — Mode
29. Which of the following is a measure of dispersion? — Range
30. Which of the following is NOT a measure of central tendency? — Standard Deviation
31. Which measure of central tendency is often used for salary data because it is less affected by very high salaries? — Median
32. Which measure of central tendency is represented by the peak of a frequency distribution curve? — Mode
33. For a symmetric distribution, which of the following relationships generally holds true? — Mean = Median = Mode
34. If a dataset is skewed to the right (positively skewed), the relationship between mean, median, and mode is typically: — Mode < Median < Mean
35. Which measure of central tendency is most affected by extreme values (outliers)? — Mean
36. The sum of squares of deviations from the mean is minimized when the deviations are calculated from the: — Mean
37. The 'average of the averages' is a concept related to: — Weighted Mean
38. The arithmetic mean of a dataset is also known as the: — Average
39. Which of the following is a measure of central tendency? — Median
40. Which measure of dispersion is resistant to outliers? — Interquartile Range
41. Which of the following is NOT a measure of dispersion? — Mean
42. Which measure of dispersion is calculated as (Q3 - Q1) / 2? — Quartile Deviation
43. The harmonic mean is most useful when dealing with: — Ratios and rates
44. The standard deviation is the: — Square root of the variance
45. The mean absolute deviation (MAD) is the average of the: — Absolute deviations from the mean
46. The range of a dataset is calculated as: — Highest value minus the lowest value
47. If a dataset has a mean of 50 and a standard deviation of 0, what can be concluded? — All values in the dataset are 50
48. Quartiles divide a dataset into how many equal parts? — Four
49. The mode of a dataset is the: — Value that occurs most frequently
50. Which measure of dispersion is expressed in the same units as the original data? — Standard Deviation
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