Business Statistics (MGT 202)

Tribhuvan University · Business Statistics (BBS 1st Year) · 2083 BS — 19 questions — a free old question paper on Goodone.club’s exam-paper archive.

  1. Mean of 100 items was 50. Later on it was found that two items were misread as 92 and 8 instead of 192 and 88. Find the correct mean. [2 marks]
  2. If mean = 45, standard deviation = 10 and mode = 43.7. Find Pearson's coefficient of skewness. [2 marks]
  3. Frequency distribution has Karl Pearson's coefficient of skewness is 0.5, mean is 5 and standard deviation is 2. Find the mode of the distribution. [2 marks]
  4. If A = [[1,4],[3,2],[2,5]], B = [[-1,-2],[0,5],[3,1]]. Find (A+B). [2 marks]
  5. If regression coefficient of y on x (byx) = -0.61 and regression coefficient x on y (bxy) = -0.53, calculate the coefficient of correlation and interpret the result. [2 marks]
  6. The standard deviation of symmetrical distribution is 5. What must be the value of fourth moment about mean in order that the distribution be mesokurtic? [2 marks]
  7. A bag contains 20 balls numbered from 1 to 20. One ball is drawn at random. Find the probability that the number of the drawn ball be multiple of 3 or 7. [2 marks]
  8. Find the value of determinant of following matrix: [[1,2,3],[2,5,1],[9,3,2]]. [2 marks]
  9. The trend line equation of sales (in millions rupees) is Y = 50 + 2.5X. Estimate the sales for the year 2022, when year of origin is assumed to be 2015. [2 marks]
  10. List different sources of secondary data. [2 marks]
  11. The following table represents the marks of 100 students (Marks | No. of students): 0-20 | 14; 20-40 | -; 40-60 | 27; 60-80 | -; 80-100 | 15. If the median mark is 48, find the missing frequencies. [10 marks]
  12. Calculate the Karl Pearson's coefficient of skewness. (Value | Frequency): 0-5 | 11; 5-10 | 14; 10-15 | 30; 15-20 | 12; 20-25 | 3. [10 marks]
  13. Fit a straight line trend by the method of least squares and estimate the sales for 2004 and 2005. (Years | Sales in '000Rs): 1998 | 40; 1999 | 52; 2000 | 54; 2001 | 52; 2002 | 50; 2003 | 53. [10 marks]
  14. Solve the equations by matrix or determinant method: x1 + 3x2 + 4x3 = 7; 4x1 + 2x2 + 3x3 = 10; 2x1 + 2x2 + 2x3 = 6. [10 marks]
  15. (a) A box contains 4 black and 4 red balls. If 2 balls are drawn at random find the probability that both are black. (b) From the given payoff table, give decision according to minimax regret criteria: Payoff Matrix (Courses of actions | State of nature (events) - Demand): S1=100 | 500 500 500; S2=100 | 300 550 550; S3=100 | 100 350 600. [10 marks]
  16. Solve the following linear programing problem graphically: Maximize Z = 40A + 70B subject to 3A + 3B <= 36; 5A + 2B <= 50; 2A + 6B <= 60; & A, B >= 0. [10 marks]
  17. The profit distribution of two companies A and B are given below (Profit (million Rs.) | No. of Item A | No. of Item B): 0-2 | 2 | 5; 2-4 | 7 | 4; 4-6 | 11 | 13; 6-8 | 20 | 15; 8-10 | 7 | 4; 10-12 | 3. a) An investor wants to invest according to the profit of the company, which company shows more consistent on the basis of profit. b) Also find the combined standard deviation. [15 marks]
  18. Calculate the price index number of a group of four commodities by using (a) Laspeyre's formula (b) Fisher's formula and (c) Paasche's formula (Commodity | Base year Price/unit, Expenditure | Current year price/unit, Expenditure): A | 2, 40 | 5, 75; B | 4, 16 | 8, 40; C | 1, 10 | 2, 24; C | 5, 25 | 10, 60. Also, examine time reversal test and factor reversal test are satisfied on Fisher's index number. [15 marks]
  19. The following data shows the income and expenditure of employees of a factory (Income (Rs 000) | Expenditure (Rs.000)): 25 | 20; 27 | 21; 30 | 25; 32 | 27; 35 | 30; 40 | 30; 42 | 32. a. Calculate coefficient of correlation between income and expenditure. b. Find out two regression coefficients. c. Estimate the expenditure when income = Rs. 45 thousand. [15 marks]