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The monthly salaries in rupees of 30 workers in a factory are given below.

5000, 7000, 3000, 4000, 4000, 3000, 3000, 3000, 8000, 4000, 4000, 9000, 3000, 5000, 5000, 4000, 4000, 3000, 5000, 5000, 6000, 8000, 3000, 3000, 6000, 7000, 7000, 6000, 6000, 4000

From the above data find the mean of monthly salary.

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#### Solution

The monthly salaries in rupees of 30 workers in a factory are given below:

5000, 7000, 3000, 4000, 4000, 3000, 3000, 3000, 8000, 4000, 4000, 9000, 3000, 5000, 5000, 4000, 4000, 3000, 5000, 5000, 6000, 8000, 3000, 3000, 6000, 7000, 7000, 6000, 6000, 4000

The frequency table of the above data is as follows:

Salaries (Rs.) (x _{i}) |
Number of workers(f _{i}) |
f_{i}x_{i} |

3000 | 8 | 24000 |

4000 | 7 | 28000 |

5000 | 5 | 25000 |

6000 | 4 | 24000 |

7000 | 3 | 21000 |

8000 | 2 | 16000 |

9000 | 1 | 9000 |

Total N = 30 |
Total = 147000 |

Mean = `(∑ f_ix_i)/(∑ f_i)`

Mean = `147000 / 30`

= 4900

So, the mean of monthly salary is Rs. 4900.

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