#### Question

The monthly profits (in Rs.) of 100 shops are distributed as follows:

Profits per shop: | 0 - 50 | 50 - 100 | 100 - 150 | 150 - 200 | 200 - 250 | 250 - 300 |

No. of shops: | 12 | 18 | 27 | 20 | 17 | 6 |

Draw the frequency polygon for it.

#### Solution

Firstly, we make a cumulative frequency table.

Profit per shop |
No. of shop |
More than profit |
Cumulative frequency |
Suitable points |

0-50 | 12 | 0 | 100 | (0, 100) |

50-100 | 18 | 50 | 88 | (50, 88) |

100-150 | 27 | 100 | 70 | (100, 70) |

150-200 | 20 | 150 | 43 | (150, 43) |

200-250 | 17 | 200 | 23 | (200, 23) |

250-300 | 6 | 250 | 6 | (250, 6) |

Now, plot the frequency polygon (or more than ogive) using suitable points.

Is there an error in this question or solution?

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Solution The Monthly Profits (In Rs.) of 100 Shops Are Distributed as Follows: Draw the Frequency Polygon for It. Concept: Graphical Representation of Cumulative Frequency Distribution.

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