Measures of central tendency, dispersion, skewness - One Line Questions

1. If the mean of a dataset is 50 and the standard deviation is 5, what is the z-score of a value of 55? — 1
2. Which formula is commonly used for calculating the Pearsonian coefficient of skewness? — (Mean - Mode) / Standard Deviation
3. For a dataset {1, 2, 3, 4, 5}, the mean is 3. What is the variance? — 2
4. The third quartile (Q3) is the value below which what percentage of data falls? — 75%
5. The mode of the set {2, 3, 3, 4, 5, 5, 5, 6} is: — 5
6. A dataset with a mean of 100 and a standard deviation of 10 is considered more dispersed than a dataset with a mean of 100 and a standard deviation of: — 5
7. The formula for variance involves the sum of: — Squared deviations from the mean
8. The coefficient of variation is a measure of: — Relative dispersion
9. If a distribution is leptokurtic, it is: — More peaked than normal
10. A symmetrical distribution has a skewness value of: — Equal to 0
11. Which measure of dispersion is calculated as the square root of the variance? — Standard Deviation
12. Which measure of dispersion is sensitive to every value in the dataset? — Standard Deviation
13. What is the primary advantage of using the median over the mean? — It is not affected by extreme values
14. If a dataset has an even number of observations, how is the median calculated? — It is the average of the two middle values
15. In a negatively skewed distribution, the mode is typically: — Greater than the median
16. Which measure of central tendency is used for categorical data? — Mode
17. Which of the following is a measure of dispersion? — Standard Deviation
18. Which of the following is NOT a measure of central tendency? — Variance
19. Which measure of central tendency is defined as the value that occurs most often? — Mode
20. Which of the following is a measure of dispersion? — Quartile Deviation
21. Which measure of central tendency is most appropriate for ordinal data? — Median
22. In a positively skewed distribution, which relationship between mean, median, and mode is typically observed? — Mean > Median > Mode
23. Bowley's coefficient of skewness is calculated using: — Quartiles
24. Which measure of central tendency is most affected by extreme values (outliers)? — Mean
25. Which measure of central tendency is also known as the average? — Mean
26. Variance is the average of the squared differences from the: — Mean
27. What is the first quartile (Q1) also known as? — Lower quartile
28. Which measure of central tendency is affected by the magnitude of each value? — Mean
29. In a bimodal distribution, how many modes are there? — Two
30. Which measure of skewness is calculated as (Mean - Mode) / Standard Deviation? — Pearson's first coefficient of skewness
31. If a distribution is perfectly symmetrical, what is its skewness value? — Zero
32. The sum of deviations of individual data points from the mean is always: — Zero
33. What type of skewness is present if the mean is less than the median? — Negative skew
34. The standard deviation is always a: — Non-negative value
35. If the mean, median, and mode are all equal, the distribution is: — Symmetrical
36. The interquartile range (IQR) is the difference between which two quartiles? — Q1 and Q3
37. Which of the following statistical measures is used to determine the concentration of data around a central point? — Standard Deviation
38. Which type of distribution has a bell shape and is symmetrical? — Normal
39. Which measure of dispersion is less affected by outliers than the range? — Interquartile Range
40. Which measure of dispersion uses the absolute differences between each data point and the mean? — Mean Deviation
41. Which measure of dispersion is calculated using only the quartiles? — Interquartile Range
42. The formula for the median of grouped data involves: — Mid-point of classes and cumulative frequencies
43. A distribution where the mean is greater than the median, and the median is greater than the mode, is: — Positively skewed
44. What does the range of a dataset measure? — The difference between the maximum and minimum values
45. What does a small standard deviation indicate about a dataset? — The data points are clustered closely around the mean
46. What does a large interquartile range suggest? — The middle 50% of data is widely spread
47. What does the median represent in a dataset? — The middle value when data is ordered
48. What is skewness a measure of? —
49. What does a negative skewness value indicate? — The tail is longer on the left side
50. The median is the value that divides the data into how many equal parts? — Two
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