### BBA – 1ST Sem.

**Times-2hours MM-50**

** BBA – 1**

^{ST}

**Sem.**

** **

** Part – A (2 Marks)**

- In a BBA class of 128 students, 48 have failed, securing 25 marks on an average. If the total marks of all the students the 5120 find the average marks second by the students passing the test.
- From the following locate the medium

11 | 71 | 35 | 55 | 62 | 13 | 15 | 75 |

- Mean of 50 items was 80. It was discovered later that two items were wrongly taken as 23 and 24 place of 32 and 42 respectively. Find correct mean.
- From the following find the co-efficient of variation. X = 40, v = 25
- If the co-efficient of two series are 75% and 90% and their S.D.S. are 15 and 18 respectively, find their mean
- Determine person’s coefficient of correlation when x y = 150, x = 60, y = 50, x
^{2 }= 200 and N = 100 - Determine the number of pairs of observation when d
^{2}= 231 and r (s) = - 0.4 - Find regression equation of x y = 20, x = 1.5, y = 2 and xy = 0.60
- If x y = - 26, x
^{2 }= 40, y^{2 }= 20, x = 0 find b x y. - Determine the value of range and its coefficient

Marks | 30 | 20 | 40 | 50 | 10 | 60 | 75 | 25 |

No. of stds. | 5 | 6 | 7 | 9 | 3 | 4 | 8 | 7 |

** Part – B (Attempt any 6)**

- From the following series, determine inter duartile range, Duartile deviation and their coefficient

Roll no:
| 1001 94 | 1002 95 | 1003 96 | 1004 93 | 1005 87 | 1006 79 | 1007 73 | 1008 69 |

- Find the coefficient of correlation between two x and y wrong short cut

X: Y: | 5 1 | 10 6 | 5 2 | 11 8 | 12 5 | 4 1 | 3 4 | 2 6 | 7 5 | 6 2 |

- two regression equations:

Sales:
| 91 71 | 97 75 | 108 69 | 121 97 | 67 70 | 124 91 | 51 39 | 73 61 | 111 80 | 57 47 |

- Find the complained and coefficient of variation from the following data.

Factors | X | Y |

N X | 100 40 10 | 200 50 12 |

- Find standard deviation and coefficient of variation from the following data.

Expenditure Below (Rs.)
| 5 6 | 10 16 | 15 28 | 20 38 | 25 42 |

- In a series these are 5 items out of which the values of the 3 items are 3, 5 and 7 respectively. If the mean and standard deviation of the series the 5 and 3 respectively find the values of other two items.
- Find medium

Marks: bellow 10
| 10 – 30 6 | 30 – 60 10 | 60 – 100 7 | 100 and above 3 |

- From the following data find the two entreme quartile

Size of shoes:
| 8’ 7 | 6.5” 8 | 7.5” 10 | 7” 15 | 5.5” 40 | 6” 25 | 4.5” 28 | 4” 18 | 5” 10 |

- Following are the ranks given by 3 judges in a contest. Find the degree of correlation between 1
^{st}and 2^{nd}, 2^{nd}and 3^{rd}, 3^{rd}and 1^{st}. And also mention which pair of judges agree or disagree the most:

Judge 1: 1 3 7 9 2 4 10 8 6 5

Judge 2: 7 5 4 6 1 2 3 8 10 9

Judge 3: 4 10 3 9 2 8 1 5 7 6

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