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Salary (in Rs.) | No. of Workers |
---|---|

3000 | 16 |

4000 | 12 |

5000 | 10 |

6000 | 8 |

7000 | 6 |

8000 | 4 |

9000 | 3 |

10000 | 1 |

Total | 60 |

Answer :

We know that,

Mean

= \(\frac{\sum {f_i x_i}}{\sum {f_i}}\)

The value of \(\sum {f_i x_i}\) and \(\sum {f_i}\) can be calculated as follows:

Salary (in Rs.) \(\left(x_{i}\right)\) | No. of Workers \(\left(f_{i}\right)\) | \(\left(f_{i}\right)\left(x_{i}\right)\) |
---|---|---|

3000 | 16 | 3000 × 16 = 48000 |

4000 | 12 | 4000 × 12 = 48000 |

5000 | 10 | 5000 × 10 = 50000 |

6000 | 8 | 6000 × 8 = 48000 |

7000 | 6 | 7000 × 6 = 42000 |

8000 | 4 | 8000 × 4 = 32000 |

9000 | 3 | 9000 × 3 = 27000 |

10000 | 1 | 10000 × 1 = 10000 |

Total | \(\sum {f_i} = 60\) | \(\sum {f_i x_i} = 305000\) |

Mean salary

= \(\frac{305000}{60}\)

\(= 5083.33\)

Therefore, mean salary of 60 workers is Rs. 5083.33

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