# Weekly income of 600 families is tabulated below

Weekly income (in Rs)Number of families

0 - 1000250

1000 - 2000 190

2000 - 3000 100

3000 - 4000 40

4000 - 5000 15

5000 - 6000 5

Compute the median income

**Solution:**

Given, the weekly income of 600 families.

We have to find the median income.

Weekly income (in Rs) |
Number of families (f) |
Cumulative frequency (cf) |

0 - 1000 |
250 |
250 |

1000 - 2000 |
190 |
250 + 190 = 440 |

2000 - 3000 |
100 |
440 + 100 = 540 |

3000 - 4000 |
40 |
540 + 40 = 580 |

4000 - 5000 |
15 |
580 + 15 = 595 |

5000 - 6000 |
5 |
595 + 5 = 600 |

Median = l + [(n/2 - cf)/f]h

Where, l is lower limit of the median class

n is the number of observations

h is the class size

cf is the cumulative frequency of the class preceding the median class

f is the frequency of the median class

From the table,

n/2 = 600/2 = 300

The observation lies in the class 1000 - 2000

Lower limit of the class, l = 1000

Class size, h = 1000

Cumulative frequency of the class preceding the median class, cf = 250

Frequency of the median class, f = 190

Median = 1000 + [(300 - 250)/190](1000)

= 1000 + [(50/190)(1000)]

= 1000 + [5(1000)/19]

= 1000 + 263.15

= 1263.15

Therefore, the median is 1263.15

**✦ Try This: **Weekly income of 600 families is tabulated below :

Weekly income (in Rs) | Number of families |

0 - 1000 | 280 |

1000 - 2000 | 140 |

2000 - 3000 | 150 |

3000 - 4000 | 48 |

4000 - 5000 | 10 |

5000 - 6000 | 6 |

Compute the median income.

**☛ Also Check: **NCERT Solutions for Class 10 Maths Chapter 14

**NCERT Exemplar Class 10 Maths Exercise 13.3 Problem 15**

## Weekly income of 600 families is tabulated below: Weekly income (in Rs) Number of families 0 - 1000 250 1000 - 2000 190 2000 - 3000 100 3000 - 4000 40 4000 - 5000 15 5000 - 6000 5. Compute the median income

**Summary:**

The median income of 600 families is 1263.15

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