#### Question

In the first proof reading of a book containing 300 pages the following distribution of misprints was obtained:

No. of misprints per page (x) | 0 | 1 | 2 | 3 | 4 | 5 |

No. of pages (f) | 154 | 95 | 36 | 9 | 5 | 1 |

Find the average number of misprints per page.

#### Solution

Let the assumed mean (A) = 2

No. of misprints per page (x_{1}) |
No. of pages(f_{1}) |
u = x |
f_{1}u_{1} |

0 | 154 | -2 | -308 |

1 | 95 | -1 | -95 |

2 | 36 | 0 | 0 |

3 | 9 | 1 | 9 |

4 | 5 | 2 | 10 |

5 | 1 | 3 | 3 |

N = 300 | `sumf_1"u"_1=381` |

Average number of mis prints per day `=A+(sumf_1"u"_1)/N`

`=2+(-381)/300`

`=2-381/300`

`=(600-381)/300`

`=219/300`

= 0.73

Is there an error in this question or solution?

#### APPEARS IN

Solution In the First Proof Reading of a Book Containing 300 Pages the Following Distribution of Misprints Was Obtained: Concept: Mean of Grouped Data.