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

Production yield in kg per hectare: | 50 - 55 | 55 - 60 | 60 - 65 | 65 - 70 | 70 - 75 | 75 - 80 |

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

Draw ‘less than’ ogive and ‘more than’ ogive.

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#### Solution

Prepare a table for less than type.

Productionyield |
No. offarms |
Productionyield (less than) |
Cumulativefrequency |
Suitablepoints |

50−55 | 2 | 55 | 2 | (55, 2) |

55−60 | 8 | 60 | 10 | (60, 10) |

60−65 | 12 | 65 | 22 | (65, 22) |

65−70 | 24 | 70 | 46 | (70, 46) |

70−75 | 38 | 75 | 84 | (75, 84) |

75−80 | 16 | 80 | 100 | (80, 100) |

Now, plot the less than ogive using suitable points.

Again, prepare a table for more than type.

Productionyield |
No. offarms |
Productionyield (more than) |
Cumulativefrequency |
Suitablepoints |

50-55 | 2 | 50 | 100 | (50, 100) |

55-60 | 8 | 55 | 98 | (55, 98) |

60-65 | 12 | 60 | 90 | (60, 90) |

65-70 | 24 | 65 | 78 | (65, 78) |

70-75 | 38 | 70 | 54 | (70, 54) |

75-80 | 16 | 75 | 16 | (75, 16) |

Now, plot the more than ogive with suitable points.

Concept: Ogives (Cumulative Frequency Graphs)

Is there an error in this question or solution?

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