UGC NET - Measures of central tendency, dispersion, skewness Online Test (MCQ Quiz)

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

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

2. What does the median represent in a dataset?

A) The most frequent value B) The average of all values C) The middle value when data is ordered D) The difference between the highest and lowest values

3. Which measure of central tendency is used for categorical data?

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

4. If a dataset has an even number of observations, how is the median calculated?

A) It is the average of the two middle values B) It is the first of the two middle values C) It is the second of the two middle values D) It is the mode of the two middle values

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

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

6. What does the range of a dataset measure?

A) The average spread of data B) The difference between the maximum and minimum values C) The most frequent value D) The middle value

7. Which measure of dispersion is calculated as the square root of the variance?

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

8. What does a small standard deviation indicate about a dataset?

A) The data points are widely spread out B) The data points are clustered closely around the mean C) The data is skewed D) The mean is not representative

9. The interquartile range (IQR) is the difference between which two quartiles?

A) Q1 and Q2 B) Q2 and Q3 C) Q1 and Q3 D) Q3 and Q4

10. Which measure of dispersion is less affected by outliers than the range?

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

11. What is skewness a measure of?

A) The peakedness of a distribution B) The symmetry of a distribution C) The average value of a dataset D) The spread of data points

12. In a positively skewed distribution, which relationship between mean, median, and mode is typically observed?

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

13. What does a negative skewness value indicate?

A) The tail is longer on the right side B) The tail is longer on the left side C) The distribution is perfectly symmetrical D) The mode is the highest value

14. If a distribution is perfectly symmetrical, what is its skewness value?

A) Positive B) Negative C) Zero D) One

15. Which formula is commonly used for calculating the Pearsonian coefficient of skewness?

A) (Mean - Mode) / Standard Deviation B) (Q3 - Q1) / 2 C) Standard Deviation / Mean D) (Median - Mode) / Standard Deviation

16. The median is the value that divides the data into how many equal parts?

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

17. Which measure of central tendency is also known as the average?

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

18. Variance is the average of the squared differences from the:

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

19. Which type of distribution has a bell shape and is symmetrical?

A) Skewed B) Uniform C) Normal D) Bimodal

20. The mode of the set {2, 3, 3, 4, 5, 5, 5, 6} is:

A) 3 B) 4 C) 5 D) 6

21. If the mean of a dataset is 50 and the standard deviation is 5, what is the z-score of a value of 55?

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

22. Which measure of dispersion is sensitive to every value in the dataset?

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

23. In a bimodal distribution, how many modes are there?

A) One B) Two C) Three D) Multiple

24. The third quartile (Q3) is the value below which what percentage of data falls?

A) 25% B) 50% C) 75% D) 100%

25. What type of skewness is present if the mean is less than the median?

A) Positive skew B) Negative skew C) Zero skew D) Symmetrical

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

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

27. Which measure of dispersion uses the absolute differences between each data point and the mean?

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

28. The coefficient of variation is a measure of:

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

29. For a dataset {1, 2, 3, 4, 5}, the mean is 3. What is the variance?

A) 1 B) 2 C) 2.5 D) 3

30. What is the primary advantage of using the median over the mean?

A) It is easier to calculate B) It is not affected by extreme values C) It is always a value present in the dataset D) It is suitable for all types of data

31. In a negatively skewed distribution, the mode is typically:

A) Less than the median B) Greater than the median C) Equal to the median D) Unrelated to the median

32. Which of the following statistical measures is used to determine the concentration of data around a central point?

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

33. If all values in a dataset are the same, what is the standard deviation?

A) Zero B) One C) The value itself D) Undefined

34. The formula for the median of grouped data involves:

A) Sum of values and count B) Mid-point of classes and cumulative frequencies C) Highest and lowest frequencies D) The most frequent class

35. Which measure of skewness is calculated as (Mean - Mode) / Standard Deviation?

A) Pearson's first coefficient of skewness B) Pearson's second coefficient of skewness C) Bowley's coefficient of skewness D) Moment coefficient of skewness

36. 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:

A) 5 B) 15 C) 20 D) 100

37. What is the first quartile (Q1) also known as?

A) Median B) Lower quartile C) Upper quartile D) Mode

38. If a distribution is leptokurtic, it is:

A) Flatter than normal B) More peaked than normal C) Symmetrical D) Positively skewed

39. Which measure of central tendency is defined as the value that occurs most often?

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

40. The sum of deviations of individual data points from the mean is always:

A) Positive B) Negative C) Zero D) Equal to the range

41. Which measure of dispersion is calculated using only the quartiles?

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

42. A symmetrical distribution has a skewness value of:

A) Greater than 0 B) Less than 0 C) Equal to 0 D) 1

43. If the mean, median, and mode are all equal, the distribution is:

A) Positively skewed B) Negatively skewed C) Symmetrical D) Bimodal

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

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

45. The standard deviation is always a:

A) Positive value B) Negative value C) Zero value D) Non-negative value

46. Which measure of central tendency is most appropriate for ordinal data?

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

47. What does a large interquartile range suggest?

A) The middle 50% of data is tightly clustered B) The middle 50% of data is widely spread C) The data is perfectly symmetrical D) The data has no outliers

48. Bowley's coefficient of skewness is calculated using:

A) Mean, Median, Mode B) Quartiles C) Standard Deviation D) Range

49. Which measure of central tendency is affected by the magnitude of each value?

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

50. The formula for variance involves the sum of:

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

Measures of central tendency, dispersion, skewness - Online Test

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