**Attempt any Six question**

2. Describe scope and limitation of statistics.

3. Determine average wages from following data:

Wage | 25 - 30 | 30 - 35 | 35 - 40 | 40 - 45 | 45 - 50 | 50 - 55 | 55 - 60 | 60 - 65 | 65 - 70 |

No of worker | 10 | 13 | 18 | 21 | 24 | 28 | 20 | 11 | 8 |

4. Calculate Karl Pearson's correlation coefficient from the following data:

Sales | 43 | 41 | 36 | 34 | 50 |

Expenses | 10 | 22 | 13 | 19 | 17 |

5. Estimate the marks in JAVA when the marks in statistics in 65 by using following data.

Marks in statistics | 57 | 58 | 59 | 59 | 60 | 61 | 62 | 64 |

Expenses | 77 | 78 | 75 | 78 | 82 | 82 | 79 | 81 |

6. Fit Bionomial Distribution from the following data where p = 0.5

No. of health | 0 | 1 | 2 | 3 | 4 |

Frequency | 28 | 62 | 46 | 20 | 4 |

7. How do you determine sample size in sampling? explain briefly

8. Write short notes on simple random sampling.

**Attempt any Two question**

9. Student's age in the regular daytime BCCA program and the morning time BCA program of campus are described by two samples. If the homogeneity in age of the class is positive factor in learning make suggestions, with reason which of two groups will be easier to teach

Popular BCA Program | Morning BCA Program | ||

Age | Number of student | Age | Number of student |

23 | 9 | 27 | 19 |

29 | 2 | 31 | 8 |

28 | 5 | 30 | 5 |

22 | 10 | 29 | 4 |

30 | 1 | 28 | 6 |

21 | 4 | 33 | 5 |

25 | 11 | 34 | 5 |

26 | 6 | 35 | 11 |

27 | 3 | 36 | 2 |

24 | 9 | 32 | 4 |

Total | 60 | Total | 60 |

18. Given a normal distribution with mean 200 and s.d 20, find the probability that.

i) P(x > 180)

ii)P(x < 220)

iii)P(160 < x < 240)

iv)P(x > 220)

v)P(x < 180 or x > 220)

vi) 10% of the values are less than what values of x?

11. The labor productivity indexes of Nepal are recorded is below:

Sector | Year | ||

2015 | 2016 | 2017 | |

Agriculture | 100 | 125 | 138 |

Manufacturing | 100 | 60 | 53 |

Community and social service | 100 | 89 | 80 |

Dose the labor productivity index vary die to the;

i) Difference in the sector

ii) Difference in the time period

Note: Group A = 1 x 10 = 10 Q - 1

Group B = 6 x 5 = 30 Q - 2 to 8

Group C = 2 x 10 = 20 Q - 9 to 11

Practical = 40