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# Find the mean salary of 60 workers of a factory from the following table:

Salary (in Rs.) | Number of workers |

3000 | 16 |

4000 | 12 |

5000 | 10 |

6000 | 8 |

7000 | 6 |

8000 | 4 |

9000 | 3 |

10000 | 1 |

Total | 60 |

Given:

The mean salary of 60 workers of a factory.

To do:

We have to find the mean salary of 60 workers.

Solution:

We know that,

$\bar{x}=\frac{\sum{f_ix_i}}{\sum{x_i}}$

Salary($x_i$) | Number of workers($f_i$) | $f_ix_i$ |

3000 | 16 | $3000\times16=48000$ |

4000 | 12 | $4000\times12=48000$ |

5000 | 10 | $5000\times10=50000$ |

6000 | 8 | $6000\times8=48000$ |

7000 | 6 | $7000\times6=42000$ |

8000 | 4 | $8000\times4=32000$ |

9000 | 3 | $9000\times3=27000$ |

10000 | 1 | $10000\times1=10000$ |

Total | $\sum{f_i}=60$ | $\sum{f_ix_i}=305000$ |

Therefore,

The mean salary of 60 workers $=\frac{\sum{f_ix_i}}{\sum{x_i}}$

$=\frac{305000}{60}$

$=Rs.\ 5083.33$

Hence, the mean salary of 60 workers is Rs. 5083.33.

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