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# In the First Proof Reading of a Book Containing 300 Pages the Following Distribution of Misprints Was Obtained: - CBSE Class 10 - Mathematics

#### 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 (x1) No. of pages(f1) u1 = x1 - A = x1 - 2 f1u1 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

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