Business Statistics
21. In a mesokurtic or normal distribution, 4 = 243. The standard deviation is:
- 81
- 27
- 9
- 3
Correct answer: (D)
3
22. The measurements of spread or scatter of the individual values around the central point is called:
- Measures of dispersion
- Measures of central tendency
- Measures of skewness
- Measures of kurtosis
Correct answer: (A)
Measures of dispersion
23. If all the scores on examination cluster around the mean, the dispersion is said to be:
- Small
- Large
- Normal
- Symmetrical
Correct answer: (A)
Small
24. The range of the scores 29, 3, 143, 27, 99 is:
- 140
- 143
- 146
- 70
Correct answer: (A)
140
25. The sum of absolute deviations is minimum if these deviations are taken from the:
- Mean
- Mode
- Median
- Upper quartile
Correct answer: (C)
Median
26. Which of the following measures of dispersion is expressed in the same units as the units of observation?
- Variance
- Standard deviation
- Coefficient of variation
- Coefficient of standard deviation
Correct answer: (B)
Standard deviation
27. The standard deviation is independent of:
- Change of origin
- Change of scale of measurement
- Change of origin and scale of measurement
- Difficult to tell
Correct answer: (A)
Change of origin
28. Which of the following statements is correct?
- The standard deviation of a constant is equal to unity
- The sum of absolute deviations is minimum if these deviations are taken from the mean.
- The second moment about origin equals variance
- The variance is positive quantity and is expressed in square of the units of the observations
Correct answer: (D)
The variance is positive quantity and is expressed in square of the units of the observations
29. In a set of observations the variance is 50. All the observations are increased by 100%. The variance of the increased observations will become:
- 50
- 200
- 100
- No change
Correct answer: (B)
200
30. All odd order moments about mean in a symmetrical distribution are:
- Positive
- Negative
- Zero
- Three
Correct answer: (C)
Zero