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.

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Solution

Average = $fraction numerator begin display style stack sum f subscript i x subscript i with i equals 1 below end style over denominator N end fraction$ = $fraction numerator 154 cross times 0 plus 95 cross times 1 plus 36 cross times 2 plus 9 cross times 3 plus 5 cross times 4 plus 1 cross times 5 over denominator 300 end fraction$ = $fraction numerator 95 plus 72 plus 27 plus 20 plus 5 over denominator 300 end fraction equals 219 over 300$
Average = 0.73

Therefore average number of misprints is 0.73

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