Business Statistics TU Board 2081 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:CommoditiesABCDEPrice in 202245583520Price in 202355503228

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.CityABAverage daily wage (Rs)10001200No. of workers250200

Define the qualitative classification of data with a suitable example.

The following table shows the marks distribution of students of a college:Marks0-1010-2020-3030-4040-5050-6060-70No. of Students8152027221810Calculate limits of marks obtained by middle 80% of the students.

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:Commodity20222023PriceQuantityPriceQuantityA120015150017B170020180016C5005040060D1002512030Calculate price index number according to (a) Laspeyre's formula (b) Paasche's formula (c) Fisher's ideal formula.

(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 tableStrategyStates of natureABCDS₁200210240220S₂180220220210S₃270200340280S₄260180300120S₅250190240200Provide a decision according to: i) Maximax criterion ii) Maximin criterion iii) Minimax regret criterion

The following table shows the distributions of wages (in Rs) of workers. Test the normality of the wage distribution.Daily wages (in 00 Rs)Number of workers20 - 301030 - 402040 - 502550 - 603460 - 702870 - 801880 - 9015

Find the appropriate measure of dispersion from the following income table:Monthly income (Rs)Number of PersonsBelow 1000151000 - 19995002000 - 29995503000 - 39993004000 - 49992005000 and above150

Following two samples describes the age (year) of the students in regular MLS programme of a University:MBS25302825232226272824MBA26273433292728293328(a) If homogeneity of the age is a positive factor for teaching-learning process, which of the two programmes will be easier to teach? (b) Calculate combined standard deviation.

The following time series data shows the profit (million Rs) of XYZ company from the fiscal year 2015 to 2023:YearProfit (Million Rs)201515201618201720201822201925202023202127202232202330a. Fit a straight line trend to these data. b. Calculate the trend values and short term fluctuations. c. Plot the actual data as well as the trend values on graph paper. d. Estimate the profit for 2024. e. What is the monthly increment of the profit?

The following table provides the fertilizer used and production of paddy in certain plots of hilly region of Nepal.PlotsFertilizer used (Metric tons)Production of paddy (Metric tons)A11185B15183C12184D14186E16189F18187G20190H23192I25195From the above table a) Find two regression co-efficients. b) Calculate the co-efficient of correlation between fertilizer used and production of paddy and interpret the result. c) Estimate the production of paddy when fertilizer used is 50 metric tons.