Measures of Dispersion Multiple Choice Questions and Answers for Practice

16. Departure from symmetry is called:

1. Second moment
2. Kurtosis
3. Skewness
4. Variation

17. In a symmetrical distribution, the coefficient of skewness will be:

1. Q1
2. Q3
3. 1

18. The lack of uniformity or symmetry is called:

1. Skewness
2. Dispersion
3. Kurtosis
4. Standard deviation

19. For a positively skewed distribution, mean is always:

1. Less than the median
2. Less than the mode
3. Greater than the mode
4. Difficult to tell

20. For a symmetrical distribution:

1. β1 > 0
2. β1 < 0
3. β1 = 0
4. β1 = 3

21. If mean=50, mode=40 and standard deviation=5, the distribution is:

1. Positively skewed
2. Negatively skewed
3. Symmetrical
4. Difficult to tell

22. If mean=25, median=30 and standard deviation=15, the distribution will be:

1. Symmetrical
2. Positively skewed
3. Negatively skewed
4. Normal

23. If mean=20, median=16 and standard deviation=2, then coefficient of skewness is:

1. 1
2. 2
3. 4
4. -2

24. If mean=10, median=8 and standard deviation=6, then coefficient of skewness is:

1. 1
2. -1
3. (2/6)
4. 2

25. If the sum of deviations from median is not zero, then a distribution will be:

1. Symmetrical
2. Skewed
3. Normal
4. All of the above

26. In case of positively skewed distribution, the extreme values lie in the:

1. Middle
2. Left tail
3. Right tail
4. Anywhere

27. Bowley's coefficient of skewness lies between:

1. 0 and 1
2. 1 and +1
3. -1 and 0
4. -2 and +2

28. In a symmetrical distribution, Q3 – Q1 = 20, median = 15. Q3 is equal to:

1. 5
2. 15
3. 20
4. 25

29. Which of the following is correct in a negatively skewed distribution?

1. The arithmetic mean is greater than the mode
2. The arithmetic mean is greater than the median
3. (Q3 – Median) = (Median – Q1)
4. (Q3 – Median) < (Median – Q1)

30. The lower and upper quartiles of a distribution are 80 and 120 respectively, while median is 100. The shape of the distribution is:

1. Positively skewed
2. Negatively skewed
3. Symmetrical
4. Normal