#### Question

Calculate the median from the following data:

Rent (in Rs.): | 15 - 25 | 25 - 35 | 35 - 45 | 45 - 55 | 55 - 65 | 65 - 75 | 75 - 85 | 85 - 95 |

No. of Houses: | 8 | 10 | 15 | 25 | 40 | 20 | 15 | 7 |

#### Solution

Class interval | Frequency | Cumulative frequency |

15 - 25 | 8 | 8 |

25 - 35 | 10 | 18 |

35 - 45 | 15 | 33 |

45 - 55 | 25 | 58 |

55 - 65 | 40 | 98 |

65 - 75 | 20 | 118 |

75 - 85 | 15 | 133 |

85 - 95 | 7 | 140 |

N = 140 |

Here N = 140

So, N/2 = 70

Thus, the cumulative frequency just greater than 70 is 98 and the corresponding class is 55 - 65.

Therefore, 55 - 65 is the median class.

Here, l = 55, f = 40, F = 58 and h = 10

We know that

Median `=l +{(N/2-F)/f}xxh`

`=55+{(70-58)/40}xx10`

`=55+(12xx10)/40`

`=55+120/40`

= 55 + 3

= 58

Hence, the median is 58.

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#### APPEARS IN

Solution Calculate the Median from the Following Data: Concept: Median of Grouped Data.