SSC CGL - Measures of Central Tendency and Dispersion Online Test (MCQ Quiz)

1. Which of the following is a measure of central tendency?

A) Range B) Variance C) Median D) Quartile Deviation

2. The arithmetic mean of a dataset is also known as the:

A) Mode B) Median C) Average D) Midrange

3. If a dataset has an odd number of observations, the median is the:

A) First observation B) Last observation C) Middle observation when data is ordered D) Average of the first and last observation

4. The mode of a dataset is the:

A) Value that occurs most frequently B) Average of all values C) Middle value when data is ordered D) Difference between the highest and lowest values

5. Which measure of central tendency is most affected by extreme values (outliers)?

A) Median B) Mode C) Mean D) Geometric Mean

6. The range of a dataset is calculated as:

A) Sum of all observations B) Highest value minus the lowest value C) Average of the two middle values D) Most frequent value

7. Variance is a measure of:

A) Central tendency B) Dispersion C) Skewness D) Kurtosis

8. The standard deviation is the:

A) Square of the variance B) Square root of the variance C) Sum of squared deviations from the mean D) Average of the absolute deviations from the mean

9. If all values in a dataset are the same, the standard deviation is:

A) Equal to the mean B) Equal to the median C) Zero D) Undefined

10. Which measure of dispersion is expressed in the same units as the original data?

A) Variance B) Interquartile Range C) Standard Deviation D) Mean Absolute Deviation

11. The interquartile range (IQR) is the difference between the:

A) Maximum and minimum values B) Third quartile and the first quartile C) Mean and the median D) Mode and the median

12. Quartiles divide a dataset into how many equal parts?

A) Two B) Three C) Four D) Ten

13. The sum of deviations of each observation from the mean is always:

A) Equal to the mean B) Equal to the standard deviation C) Zero D) The variance

14. For a symmetric distribution, which of the following relationships generally holds true?

A) Mean < Median < Mode B) Mode < Median < Mean C) Mean = Median = Mode D) Mean > Mode > Median

15. Which measure of central tendency is suitable for qualitative data?

A) Mean B) Median C) Mode D) Standard Deviation

16. The mean absolute deviation (MAD) is the average of the:

A) Squared deviations from the mean B) Absolute deviations from the mean C) Deviations from the median D) Deviations from the mode

17. If a dataset is skewed to the right (positively skewed), the relationship between mean, median, and mode is typically:

A) Mean < Median < Mode B) Mode < Median < Mean C) Mean = Median = Mode D) Mean > Mode > Median

18. The second quartile (Q2) of a dataset is equivalent to the:

A) First quartile (Q1) B) Third quartile (Q3) C) Median D) Mode

19. Which of the following is a measure of dispersion?

A) Mean B) Median C) Mode D) Range

20. The sum of squares of deviations from the mean is minimized when the deviations are calculated from the:

A) Median B) Mode C) Mean D) Midrange

21. A dataset has values: 10, 12, 15, 16, 17. What is the median?

A) 12 B) 15 C) 16 D) 13.6

22. A dataset has values: 5, 7, 7, 8, 9, 10. What is the mode?

A) 5 B) 7 C) 8 D) 9

23. A dataset has values: 2, 4, 6, 8, 10. What is the mean?

A) 4 B) 5 C) 6 D) 7

24. A dataset has values: 3, 5, 7, 9, 11. What is the range?

A) 5 B) 8 C) 11 D) 9

25. Consider the dataset: 1, 2, 3, 4, 5, 6. What is the median?

A) 3 B) 3.5 C) 4 D) 4.5

26. What is the variance of the dataset: 2, 2, 2, 2?

A) 0 B) 1 C) 2 D) 4

27. If the standard deviation of a dataset is 5, what is its variance?

A) 5 B) 10 C) 25 D) 50

28. Which measure of dispersion is resistant to outliers?

A) Range B) Standard Deviation C) Variance D) Interquartile Range

29. In a dataset, Q1 = 10 and Q3 = 25. What is the Interquartile Range?

A) 10 B) 15 C) 25 D) 35

30. Which of the following is NOT a measure of central tendency?

A) Mean B) Median C) Mode D) Standard Deviation

31. Which of the following is NOT a measure of dispersion?

A) Range B) Variance C) Quartile Deviation D) Mean

32. The 'average of the averages' is a concept related to:

A) Median B) Mode C) Weighted Mean D) Geometric Mean

33. Which measure of central tendency is calculated by multiplying the values and taking the nth root?

A) Arithmetic Mean B) Geometric Mean C) Harmonic Mean D) Median

34. The harmonic mean is most useful when dealing with:

A) Ratios and rates B) Large numbers C) Small numbers D) Qualitative data

35. For a dataset with values 1, 3, 5, 7, 9, what is the mean of the first and last value (Midrange)?

A) 1 B) 5 C) 9 D) 10

36. If a dataset has a mean of 50 and a standard deviation of 0, what can be concluded?

A) The dataset has only one value B) All values in the dataset are 50 C) The dataset is empty D) The mean is incorrect

37. Which measure of dispersion is sensitive to extreme values?

A) Interquartile Range B) Standard Deviation C) Median Absolute Deviation D) Quartile Deviation

38. What is the median of the dataset: 10, 20, 30, 40, 50, 60?

A) 30 B) 35 C) 40 D) 45

39. If the mode of a dataset is 15, it means that the value 15:

A) Is the average of the dataset B) Occurs most frequently C) Is the middle value D) Is the highest value

40. The sum of the first n natural numbers is n(n+1)/2. What is the mean of the first 10 natural numbers?

A) 5 B) 5.5 C) 10 D) 55

41. Which measure of central tendency is often used for salary data because it is less affected by very high salaries?

A) Mean B) Median C) Mode D) Range

42. The coefficient of variation is a measure of:

A) Central tendency B) Absolute dispersion C) Relative dispersion D) Skewness

43. If the mean is 20 and the standard deviation is 4, what is the coefficient of variation (CV)?

A) 0.2 B) 5 C) 20 D) 80

44. The sum of deviations from the median is minimized when the deviations are taken as:

A) Absolute deviations B) Squared deviations C) Deviations from the mean D) Deviations from the mode

45. Which measure of dispersion is calculated as (Q3 - Q1) / 2?

A) Range B) Interquartile Range C) Quartile Deviation D) Standard Deviation

46. For a dataset with values 5, 10, 15, 20, 25, what is Q1?

A) 5 B) 10 C) 15 D) 20

47. For a dataset with values 5, 10, 15, 20, 25, what is Q3?

A) 10 B) 15 C) 20 D) 25

48. What is the mean of the dataset: 10, 10, 10, 10, 10?

A) 0 B) 10 C) 50 D) 100

49. Which measure of central tendency is represented by the peak of a frequency distribution curve?

A) Mean B) Median C) Mode D) Range

50. The median of a dataset with an even number of observations is the:

A) Average of the two middle observations B) First middle observation C) Second middle observation D) Average of all observations

Measures of Central Tendency and Dispersion - Online Test

Test Results