Business Statistics

71. First two moments about the value 2 of a variable are 1 and 16. The variance will be:

1. 13
2. 15
3. 16
4. Difficult to tell

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72. Departure from symmetry is called:

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

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

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

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

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

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75. 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)

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76. The measure of dispersion which uses only two observations is called:

1. Range
2. Quartile deviation
3. Mean deviation
4. Standard deviation

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77. If Q3=20 and Q1=10, the coefficient of quartile deviation is:

1. 3
2. 1/3
3. 2/3
4. 1

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78. The average of squared deviations from mean is called:

1. Mean deviation
2. Variance
3. Standard deviation
4. Coefficient of variation

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79. Which of the following is a unit free quantity:

1. Range
2. Standard deviation
3. Coefficient of variation
4. Arithmetic mean

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80. Three factories A, B, C have 100, 200 and 300 workers respectively. The mean of the wages is the same in the three factories. Which of the following statements is true?

1. There is greater variation in factory C.
2. Standard deviation in. factory A is the smallest.
3. Standard deviation in all the three factories are equal
4. None of the above

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