Question

In the first proof reading of a book containing 300 pages the following distribution of misprints was obtained:
Find the average number of misprints per page.
No. of misprints
per pages (x): 0 1 2 3 4 5
No. of pages (f): 154 95 36 9 5 1

Answer 1

Average no. of misprints per page is 0.73

solution:

•No. of misprints

per pages (x): 0 1 2 3 4 5

•No. of pages (f): 154 95 36 9 5 1

• Now we will find corresponding FiXi which are 0 95 72 27 20 5

• Now find sum of FiXi i.e. 219

• also sum of Fi is 300 i.e. no. of pages

•Now, average no. of misprints(mean) is given as

(sum of FiXi)/(sum of Fi)

mean = 219/300

=0.73

Answer 2

0.73 is  average number of misprints per page

Step-by-step explanation:

No. of misprints per pages       Number of Pages         misprints

0                                                  154                                 0

1                                                   95                                  95

2                                                  36                                  72

3                                                  9                                     27

4                                                  5                                     20

5                                                  1                                       5

                                                    300                                219

average number of misprints per page. = total Misprint / total pages

= 219/300

= 0.73

0.73 is  average number of misprints per page

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