Business Statistics 2081 Board Question Paper

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

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

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

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

Calculate coefficient of correlation (r), if byx = -0.57 and bxy = -0.82 respectively.

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

Find the value of determinant

Find ¹/₂(A - B) where A = [8 9]
[9 10]
[2 5] and B = [5 6]
[3 4]
[8 5]

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

Define the qualitative classification of data with a suitable example.

The following table shows the marks distribution of students of a college:

Solve the following equations by using determinant or matrix method
5x + 3y + z = 16
2x + y + 3z = 19
x + 2y + 4z = 25

The following table gives the changes in the price (in Rs) and the quantity (units) of certain commodities:

(a) Solve the following Linear Programming problem graphically:
Maximize Z = 4x + 3y
Subject to constraints: 2x + y ≤ 10
x + y ≤ 6

and x ≥ 0, y ≥ 0

(b) The following table is the conditional payoff table

The following table shows the distributions of wages (in Rs) of workers. Test the normality of the wage distribution.

Find the appropriate measure of dispersion from the following income table:

Following two samples describes the age (year) of the students in regular MLS programme of a University:

The following time series data shows the profit (million Rs) of XYZ company from the fiscal year 2015 to 2023:

The following table provides the fertilizer used and production of paddy in certain plots of hilly region of Nepal.