#### Question

The following table given the weekly of workers in a factory:

Weekly wages (in Rs) |
No.of workers |

50-55 | 5 |

55-60 | 20 |

60-65 | 10 |

65-70 | 10 |

70-75 | 9 |

75-80 | 6 |

80-85 | 12 |

85-90 | 8 |

Calcculate: (1)the mean, (2) the model class, (3) th number of workers getting weekly qages below Rs. 80 and (4) the number of workers getting Rs. 65 or more but less than Rs.85 as weekly wages.

#### Solution

Weekly Wages (in Rs ) |
No.of Workers (f) |
Cumlative Frequency |
Class marks (x) |
fx |

50-55 | 5 | 5 | 52.5 | 262.5 |

55-60 | 20 | 25 | 57.5 | 1150.0 |

60-65 | 10 | 35 | 62.5 | 625.0 |

65-70 | 10 | 45 | 67.5 | 675.0 |

70-75 | 9 | 54 | 72.5 | 652.5 |

75-80 | 6 | 60 | 77.5 | 465.0 |

80-85 | 12 | 72 | 82.5 | 990.0 |

85-90 | 8 | 80 | 87.5 | 700.0 |

Total | 80 | 5520.0 |

(1)Mean= `(Σ f_x)/(Σ f)=5520/80=69`

(2)Model class = 55 - 60 as it has maximum frequencies.

(3)Number of workers getting wages below Rs.80 = 60

(4)Number of workers getting Rs. 65 or more and less than Rs.85 = 72 - 35 = 37

Is there an error in this question or solution?

Solution The Following Table Given the Weekly of Workers in a Factory: Concept: Measures of Central Tendency - Mean, Median, Mode for Raw and Arrayed Data.