Business Statistics
31. The first three moments of a distribution about the mean X are 1, 4 and 0. The distribution is:
- Symmetrical
- Skewed to the left
- Skewed to the right
- Normal
Correct answer: (A)
Symmetrical
Symmetrical
32. For a positively skewed distribution, mean is always:
- Less than the median
- Less than the mode
- Greater than the mode
- Difficult to tell
Correct answer: (C)
Greater than the mode
Greater than the mode
33. Bowley's coefficient of skewness lies between:
- 0 and 1
- 1 and +1
- -1 and 0
- -2 and +2
Correct answer: (B)
1 and +1
1 and +1
34. The second and fourth moments about mean are 4 and 48 respectively, then the distribution is:
- Leptokurtic
- Platykurtic
- Mesokurtic or normal
- Positively skewed
Correct answer: (C)
Mesokurtic or normal
Mesokurtic or normal
35. The measures used to calculate the variation present among the observations in the unit of the variable is called:
- Relative measures of dispersion
- Coefficient of skewness
- Absolute measures of dispersion
- Coefficient of variation
Correct answer: (C)
Absolute measures of dispersion
Absolute measures of dispersion
36. The measure of dispersion which uses only two observations is called:
- Mean
- Median
- Range
- Coefficient of variation
Correct answer: (C)
Range
Range
37. Half of the difference between upper and lower quartiles is called:
- Interquartile range
- Quartile deviation
- Mean deviation
- Standard deviation
Correct answer: (B)
Quartile deviation
Quartile deviation
38. The mean deviation of the scores 12, 15, 18 is:
- 6
- 0
- 3
- 2
Correct answer: (D)
2
2
39. The variance is zero only if all observations are the:
- Different
- Square
- Square root
- Same
Correct answer: (D)
Same
Same
40. The standard deviation of -5, -5, -5, -5, 5 is:
- -5
- +5
- 0
- -25
Correct answer: (C)
0
0