Tribhuvan University

BBSBachelor

Business Statistics

Subject Code: MGT 202Year: 2081

Full Marks: 100Time: 3 Hours

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Group A

Brief Answer Questions

Attempt all questions.

1

Calculate the coefficient of variation of a distribution, if mean is found to be 200 and variance of distribution is 36.

[2 marks]

2

The Karl Pearson's coefficient of skewness is 0.5 if mean = 45 and standard deviation = 15, find the value of mode.

[2 marks]

3

If P(A) = 0.6, P(B) = 0.5 and P(A \cup B) = 0.4 find P(A \cap B). Where A and B are not mutually exclusive events.

[2 marks]

4

Find the coefficient of quartile deviation of a distribution when upper and lower quartiles are 90 and 55 respectively.

[2 marks]

5

Calculate coefficient of correlation (r), if byx=0.57b_{yx} = -0.57 and bxy=0.82b_{xy} = -0.82 respectively.

[2 marks]

6

Find the simple aggregative price index number from the following data:

CommoditiesABCDE
Price in 20224540583520
Price in 20235542503228

[2 marks]

7

Find the value of determinant 321235351\begin{vmatrix} 3 & 2 & 1 \\ 2 & 3 & 5 \\ 3 & 5 & 1 \end{vmatrix}

[2 marks]

8

Find 13(AB)\frac{1}{3}(A - B) where A = [8991025]\begin{bmatrix} 8 & 9 \\ 9 & 10 \\ 2 & 5 \end{bmatrix} and B = [563485]\begin{bmatrix} 5 & 6 \\ 3 & 4 \\ 8 & 5 \end{bmatrix}

[2 marks]

9

The following table shows the average daily wages of workers in city A and B, find the combined average wage of the workers.

CityAB
Average daily wage (Rs)10001200
No. of workers250200

[2 marks]

10

Define the qualitative classification of data with a suitable example.

[2 marks]

Completed Group A