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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.

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.