Q. 74.5( 2 Votes )
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.
To find : the average number of misprints per page.
Use the shortcut method to find the mean of given data.
Let the assumed mean be (A) = 2,
The deviation of values xi from assumed mean be di = xi – A.
Now to find the mean:
First multiply the frequencies in column (ii) with the value of deviations in column (iii) as fidi.
Construct the table using above information.
The table is as follows:
Now add the sum of all entries in column (iii) to obtain
and the sum of all frequencies in the column (ii) to obtain
Average number of misprints per day = A +
where, N = total number of observations
⇒ Mean = 2 +
Mean = 0.73
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