#### Question

Draw an ogive for the data given beelow and from the graph determine:

(1) the median marks

(2) the number of students who obtained more than 75% marks

Marks |
No.of students |

0-9 | 5 |

10-19 | 9 |

20-29 | 16 |

30-39 | 22 |

40-49 | 26 |

50-59 | 18 |

60-69 | 11 |

70-79 | 6 |

80-89 | 4 |

90-99 | 3 |

#### Solution

Marks |
No.of students |
Cumulative frequency |

05-9.5 | 5 | 5 |

9.5-19.5 | 9 | 14 |

19.5-29.5 | 16 | 30 |

29.5-39.5 | 22 | 52 |

39.5-49.5 | 26 | 78 |

49.5-59.5 | 18 | 96 |

59.5-69.5 | 11 | 107 |

69.5-79.5 | 6 | 113 |

79.5-89.5 | 4 | 117 |

89.5-99.5 | 3 | 120 |

Total number of terms = 120

∴ Median`=120/2=60^(th)`term

Through mark 60, draw a parallel line to x-axis whicch meets the curve at A. from A draw a perpendicular to x-axis meeting it at B.

The value of point B the median =43

Total marks=100

75% of total marks =`75/100xx100=75`

The number of students getting more than 75% marks = 120-111 = 9

Is there an error in this question or solution?

Solution Draw an Ogive for the Data Given Beelow and from the Graph Determine: Concept: Measures of Central Tendency - Mean, Median, Mode for Raw and Arrayed Data.