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ConceptGraphical Representation of Cumulative Frequency Distribution

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#### Question

During the medical check-up of 35 students of a class, their weights were recorded as follows:

Weight (in kg |
Number of students |

Less than 38 | 0 |

Less than 40 | 3 |

Less than 42 | 5 |

Less than 44 | 9 |

Less than 46 | 14 |

Less than 48 | 28 |

Less than 50 | 32 |

Less than 52 | 35 |

Draw a less than type ogive for the given data. Hence obtain the median weight from the graph verify the result by using the formula.

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#### Similar questions

The following distribution gives the daily income of 50 workers of a factory.

Daily income (in Rs |
100 − 120 | 120 − 140 | 140 − 160 | 160 − 180 | 180 − 200 |

Number of workers |
12 | 14 | 8 | 6 | 10 |

Convert the distribution above to a less than type cumulative frequency distribution, and draw its ogive.

The following table gives production yield per hectare of wheat of 100 farms of a village.

Production yield (in kg/ha) |
50 − 55 | 55 − 60 | 60 − 65 | 65 − 70 | 70 − 75 | 75 − 80 |

Number of farms |
2 | 8 | 12 | 24 | 38 | 16 |

Change the distribution to a more than type distribution and draw ogive.