## Tribhuvan University(TU) | Old is Gold

Question Paper of Business Statistics (MGT 202)

For: BBS First Year / Management

Year: 2071 (2014) | Full Marks: 100 | Pass Marks: 35

Candidates are required to give their answers in their own words as far as practicable.

**Attempt Eight questions from Group A and Group B is compulsory.**

## Group ‘A’ [80]

1. (a) Define statistics. What are the limitations of statistics?

(b) Construct suitable diagram for the following data:

Items | Food | Cloths | Fuel | Rent | Misce. |

Expenditure | 300 | 180 | 120 | 600 | 240 |

2. From the following distribution of marks of 250 students of a campus, find the minimum pass mark if only 20% of the students has failed and also find the minimum marks obtained by the top 25% of the students.

Marks | 0-20 | 20-40 | 40-50 | 50-60 | 60-80 | 80-100 |

No. of Students | 25 | 50 | 75 | 45 | 30 | 25 |

3. If the mode for the following distribution is Rs. 24, find the mean deviation from mean

Expenditures in Rs. | 0-10 | 10-20 | 20-30 | 30-40 | 40-50 |

No. of families | 14 | 23 | 27 | ? | 15 |

4. The mean weight of 150 students is 60 kg. The mean weight of boys is 70 kg with a standard deviation of 10 kg. For the girls, the mean weight is 55 kg and standard deviation is 15 kg. Find no. of boys and girls in a class and combined standard deviation.

5. (a) pearson’s coefficient of skewness for a distribution is 0.4 and its coefficient of 30%. If mode is 88, find mean and median.

(b) The first three moments of a distribution about the value 4 are 1, 4 and 10. find the mean and variance and also the 3rd moment about mean.

6. (a) The coefficient of rank correlation of the marks obtained by 10 students in English and Statistics was found to be 0.5.

It was later discovered in rank obtained by one student was wrongly taken as 7 instead of 9. Find the correct rank correlation.

(b) An urn contains 9 red, 7 white and 4 black balls. A ball is drawn at random. Find the probability that the ball drawn is (1) Red ball and (2) not red ball.

7. Fit a straight line trend by method of least square and obtain trend values from following data:

Year | 2005 | 2006 | 2007 | 2008 | 2009 |

Production in ‘000 tons | 100 | 120 | 110 | 140 | 80 |

Also predict the sales for the year 2015.

8. Compute suitable index number for the year 2010 with 2008 as base year from the following data:

Year | Product X | Product Y | Product Z | |||

Price | Quantity | Price | Quantity | Price | Quantity | |

2008 | 4 | 50 | 3 | 10 | 2 | 5 |

2010 | 10 | 40 | 8 | 8 | 4 | 4 |

If the income of a family in 2008 was 10, 000 what should be the income of same family in 2010 so that the living standard would be same?

9. Prove the following by using properties of determinants.

10 . Diary corporation is planning to produce 1200 kgs ofย baby food mixing 3 nutrients A, B and C. The 3 nutrient components per kg cost Rs. 12, Rs. 16 and Rs. 14 respectively. The final output of 1 kg of baby food pack must contains nutrient C to be twice that of nutrient A. The budget available to buy component nutrients are to the corporation is Rs. 18480. Find amount of each nutrient which should be mixed in the final output by using matrix method.

## Group ‘B’ (Comprehensive Answer Question) [20]

11. From the following bi-variate table. Compute two regression coefficients, coefficient of variations and correlation coefficient, Estimate the sales revenue when advertisement cost is Rs. 90 thousand.

Sales revenue in ‘000 Rs. | Advertisement cost in ‘000 Rs. | ||||

5-15 | 15-25 | 25-35 | 35-45 | 45-55 | |

75-125 | 4 | 1 | — | — | — |

125-175 | 7 | 6 | 2 | 1 | 3 |

175-255 | 1 | 3 | 4 | 2 | 2 |

225-275 | 1 | 1 | 3 | 4 | — |

275-325 | 3 | 1 | 1 | — | — |

## 13 Comments

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solution of question paper 2071

What is the solution of question no.4

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Hello sir, business statistics ko all year ko model question matra Pdf file ma upload garnuna.

please solve the question num 8 please