Measures of central tendency, dispersion, skewness - Question Bank
1. A distribution where the mean is greater than the median, and the median is greater than the mode, is:
2. The formula for variance involves the sum of:
3. Which measure of central tendency is affected by the magnitude of each value?
4. Bowley's coefficient of skewness is calculated using:
5. What does a large interquartile range suggest?
6. Which measure of central tendency is most appropriate for ordinal data?
7. The standard deviation is always a:
8. Which of the following is a measure of dispersion?
9. If the mean, median, and mode are all equal, the distribution is:
10. A symmetrical distribution has a skewness value of:
11. Which measure of dispersion is calculated using only the quartiles?
12. The sum of deviations of individual data points from the mean is always:
13. Which measure of central tendency is defined as the value that occurs most often?
14. If a distribution is leptokurtic, it is:
15. What is the first quartile (Q1) also known as?
16. 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:
17. Which measure of skewness is calculated as (Mean - Mode) / Standard Deviation?
18. The formula for the median of grouped data involves:
19. If all values in a dataset are the same, what is the standard deviation?
20. Which of the following statistical measures is used to determine the concentration of data around a central point?
21. In a negatively skewed distribution, the mode is typically:
22. What is the primary advantage of using the median over the mean?
23. For a dataset {1, 2, 3, 4, 5}, the mean is 3. What is the variance?
24. The coefficient of variation is a measure of:
25. Which measure of dispersion uses the absolute differences between each data point and the mean?
26. Which of the following is NOT a measure of central tendency?
27. What type of skewness is present if the mean is less than the median?
28. The third quartile (Q3) is the value below which what percentage of data falls?
29. In a bimodal distribution, how many modes are there?
30. Which measure of dispersion is sensitive to every value in the dataset?
31. If the mean of a dataset is 50 and the standard deviation is 5, what is the z-score of a value of 55?
32. The mode of the set {2, 3, 3, 4, 5, 5, 5, 6} is:
33. Which type of distribution has a bell shape and is symmetrical?
34. Variance is the average of the squared differences from the:
35. Which measure of central tendency is also known as the average?
36. The median is the value that divides the data into how many equal parts?
37. Which formula is commonly used for calculating the Pearsonian coefficient of skewness?
38. If a distribution is perfectly symmetrical, what is its skewness value?
39. What does a negative skewness value indicate?
40. In a positively skewed distribution, which relationship between mean, median, and mode is typically observed?
41. What is skewness a measure of?
42. Which measure of dispersion is less affected by outliers than the range?
43. The interquartile range (IQR) is the difference between which two quartiles?
44. What does a small standard deviation indicate about a dataset?
45. Which measure of dispersion is calculated as the square root of the variance?
46. What does the range of a dataset measure?
47. Which of the following is a measure of dispersion?
48. If a dataset has an even number of observations, how is the median calculated?
49. Which measure of central tendency is used for categorical data?
50. What does the median represent in a dataset?