### Business Statistics

1. If Y = aX ± b, where a and b are any two constants and a ∦ 0, then the quartile deviation of Y values is equal to:

1. a Q.D(X) + b
2. ∣a∣ Q.D(X)
3. Q.D(X) - b
4. ∣b∣ Q.D(X)
Correct answer: (B)
∣a∣ Q.D(X)

2. For a symmetrical distribution:

1. β1 > 0
2. β1 < 0
3. β1 = 0
4. β1= 3
Correct answer: (C)
β1 = 0

3. The scatter in a series of values about the average is called:

1. Central tendency
2. Dispersion
3. Skewness
4. Symmetry
Correct answer: (B)
Dispersion

4. The measures of dispersion can never be:

1. Positive
2. Zero
3. Negative
4. Equal to 2
Correct answer: (C)
Negative

5. Which of the following is an absolute measure of dispersion?

1. Coefficient of variation
2. Coefficient of dispersion
3. Standard deviation
4. Coefficient of skewness
Correct answer: (C)
Standard deviation

6. If the observations of a variable X are, -4, -20, -30, -44 and -36, then the value of the range will be:

1. -48
2. 40
3. -40
4. 48
Correct answer: (B)
40

7. If the maximum value in a series is 25 and its range is 15, the maximum value of the series is:

1. 10
2. 15
3. 25
4. 35
Correct answer: (A)
10

8. Mean deviation computed from a set of data is always:

1. Negative
2. Equal to standard deviation
3. More than standard deviation
4. Less than standard deviation
Correct answer: (D)
Less than standard deviation

9. Which measure of dispersion has a different unit other than the unit of measurement of values:

1. Range
2. Standard deviation
3. Variance
4. Mean deviation
Correct answer: (C)
Variance

10. The positive square root of the mean of the squares of the cleviations of observations from their mean is called:

1. Variance
2. Range
3. Standard deviation
4. Coefficient of variation
Correct answer: (C)
Standard deviation
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