#### Question

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 |

#### Solution

We know that

`"Mean "=(sumf_ix_i)/(sumf_i)`

`"The value of "sumf_ix_i" and "sumf_i" can be calculated as follows."`

Salary (in Rs) (x_{i)} |
Number of workers (f_{i}) |
f_{i}x_{i} |

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 | sumf_i=60 | sumf_ix_i=305000 |

`"Mean salary "=305000/60=5083.33`

Therefore, mean salary of 60 workers is Rs 5083.33.

Is there an error in this question or solution?

Solution Find the Mean Salary of 60 Workers of a Factory from the Following Table Concept: Measures of Central Tendency.