In the first proof reading of a book containing 300 pages the following distribution of misprints was obtained:
No. of misprints per pages (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.
Let the assumed mean (A) = 2
No. of misprints per pages (xi) | No. of pages (fi) | ui = xi – A = xi - 2 | fiui |
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 | ∑fiui = -381 |
Average number of misprints per day = A +
= 2 + =
= = 0.73