Business Statistics

51. The variance of 19, 21, 23, 25 and 27 is 8. The variance of 14, 16, 18, 20 and 22 is:

1. Greater than 8
2. 8
3. Less than 8
4. 8 - 5 = 3

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52. Var(X) = 4 and Var(Y) =9. If X and Y are independent random variable then Var(2X + Y) is:

1. 13
2. 17
3. 25
4. -1

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53. The moments about origin are called:

1. Moments about zero
2. Raw moments
3. Both (a) and (b)
4. (d)Neither (a) nor (b)

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54. The first moment about X = 0 of a distribution is 12.08. The mean is:

1. 10.80
2. 10.08
3. 12.08
4. 12.88

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

1. 0
2. Q1
3. Q3
4. 1

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

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

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57. 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

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58. 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

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59. The value of β₂ can be:

1. Less than 3
2. Greater than 3
3. Equal to 3
4. All of the above

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60. The degree to which numerical data tend to spread about an average value called:

1. Constant
2. Flatness
3. Variation
4. Skewness

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