# CBSE Class 10-Mathematics: Chapter – 14 Statistics Part 11 (For CBSE, ICSE, IAS, NET, NRA 2022)

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**Question 2**:

Find the median of the following data:

Marks | Frequency |

Less than | |

Less than | |

Less than | |

Less than | |

Less than | |

Less than | |

Less than | |

Less than |

**Answer**:

First of all, we shall change cumulating series into simple series.

We have

X | F | C. F |

0 - 10 | 0 | 0 |

10 - 30 | 10 | 10 |

30 - 50 | 15 | 25 |

50 - 70 | 18 | 43 |

70 - 90 | 22 | 65 |

90 - 110 | 22 | 87 |

110 - 130 | 9 | 96 |

130 - 150 | 4 | 100 |

Now ,

which lies in 70 - 90 class

Median class

Here,

We know that Median,

**Question 3**:

Find the median of the following data.

Wages (in rupees) | No. of workers |

More than 150 | |

More than 140 | |

More than 130 | |

More than 120 | |

More than 110 | |

More than 100 | |

More than 90 | |

More than 80 |

**Answer**:

First of all, we shall find simple frequencies.

Wages (in Rupees) (X) | No. of workers (F) | C. F |

80 - 90 | 9 | 9 |

90 - 100 | 17 | 26 |

100 - 110 | 19 | 45 |

110 - 120 | 45 | 90 |

120 - 130 | 33 | 123 |

130 - 140 | 15 | 138 |

140 - 150 | 2 | 150 |

Now which lies in class

Median class

Here,

We know that