MBA/MBA Business Statistics Mcq Set 2 Sample Test,Sample questions

Question:
Departure from symmetry is called:

1.Second moment

2.Kurtosis

3.Skewness

4.Variation


Question:
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


Question:
For two independent variables X and Y if S.D(X) = 1 and S.D(Y) = 3, then Var(3X - Y) is equal to:

1.0

2.6

3.18

4.12


Question:
Given below the four sets of observations. Which set has the minimum variation?

1.46, 48, 50, 52, 54

2.30, 40, 50, 60, 70

3.40, 50, 60, 70, 80

4.48, 49, 50, 51, 52


Question:
If mean=10, median=8 and standard deviation=6, then coefficient of skewness is:

1.1

2.-1

3.2/6

4.2


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

1.1

2.2

3.4

4.-2


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

1.Positively skewed

2.Negatively skewed

3.Symmetrical

4.Difficult to tell


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

1.3

2.1/3

3.2/3

4.1


Question:
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


Question:
If the third central is negative, the distribution will be:

1.Symmetrical

2.Positively skewed

3.Negatively skewed

4.Normal


Question:
If there are ten values each equal to 10, then standard deviation of these values is:

1.100

2.20

3.10

4.0


Question:
If X̄ = Rs.20, S= Rs.10, then coefficient of variation is:

1.45%

2.50%

3.60%

4.65%


Question:
In a symmetrical distribution Q1 = 20 and median= 30. The value of Q3 is:

1.50

2.35

3.40

4.25


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

1.0

2.Q1

3.Q3

4.1


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

1.Middle

2.Left tail

3.Right tail

4.Anywhere


Question:
The average of squared deviations from mean is called:

1.Mean deviation

2.Variance

3.Standard deviation

4.Coefficient of variation


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

1.Constant

2.Flatness

3.Variation

4.skewness


Question:
The first and second moments about arbitrary constant are -2 and 13 respectively, The standard deviation will be:

1.-2

2.3

3.9

4.13


Question:
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


Question:
The lack of uniformity or symmetry is called:

1.Skewness

2.Dispersion

3.Kurtosis

4.Standard deviation


Question:
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


Question:
The mean deviation is minimum when deviations are taken from:

1.Mean

2.Mode

3.Median

4.Zero


Question:
The mean of an examination is 69, the median is 68, the mode is 67, and the standard deviation is 3. The measures of variation for this examination is:

1.67

2.68

3.69

4.3


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

1.Range

2.Quartile deviation

3.Mean deviation

4.Standard deviation


Question:
The moments about origin are called:

1.Moments about zero

2.Raw moments

3.Both (a) and (b)

4.(d)Neither (a) nor (b)


Question:
The range of the values -5, -8, -10, 0, 6, 10 is:

1.0

2.10

3.-10

4.20


Question:
The second moment about arithmetic mean is 16, the standard deviation will be:

1.16

2.4

3.2

4.0


Question:
The sum of squares of the deviations is minimum, when deviations are taken from:

1.Mean

2.Mode

3.Median

4.Zero


Question:
The value of β2 can be:

1.Less than 3

2.Greater than 3

3.Equal to 3

4.All of the above


Question:
The value of standard deviation changes by a change of:

1.Origin

2.Scale

3.Algebraic signs

4.None of these


Question:
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


Question:
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


Question:
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.


Question:
Which of the following is a unit free quantity:

1.Range

2.Standard deviation

3.Coefficient of variation

4.Arithmetic mean


Question:
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)


Question:
Which of the following measures of dispersion is independent of the units employed?

1.Coefficient of variation

2.Quartile deviation

3.Standard deviation

4.Range


Question:
Which of the following statements is false?

1.The standard deviation is independent of change of origin

2.If the moment coefficient of kurtosis β2 = 3, the distribution is mesokurtic or normal.

3.If the frequency curve has the same shape on both sides of the centre line which divides the curve into two equal parts, is called a symmetrical distribution.

4.Variance of the sum or difference of any two variables is equal to the sum of their respective variances


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