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The monthly income of a group of 320 employees in a company is given below:

Monthly Income |
No. of Employees |

6000-7000 | 20 |

7000-8000 | 45 |

8000-9000 | 65 |

9000-10000 | 95 |

10000-11000 | 60 |

11000-12000 | 30 |

12000-13000 | 5 |

Draw an ogive the given distribution on a graph sheet taking 2 cm = Rs. 1000 on one axis and 2 cm = 50 employees on the other axis. From the graph determine:

(1) the median wage

(2) the number of employees whose income is below Rs. 8500.

(3) if the salary of a senior employee is above Rs. 11,500, find the number of senior employees in the company.

(4) the upper quartile.

Use graph paper for this question.

The marks obtained by 120 students in an English test are given below :

Marks | 0 - 10 | 10 - 20 | 20 - 30 | 30 - 40 | 40 - 50 | 50 - 60 | 60 - 70 | 70 - 80 | 80 - 90 | 90 -100 |

No.of students | 5 | 9 | 16 |
22 |
26 | 18 |
11 |
6 | 4 | 3 |

Draw the ogive and hence, estimate:

(i) the median marks.

(ii) the number of students who did not pass the test if the pass percentage was 50.

(iii) the upper quartile marks.

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