Question 4 The following table gives the number of pages written by Sarika for completing her own book for 30 days-WhineWhineWhine array Find the mean number of pages written per day-

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Question 4 Th...

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Question 4
The following table gives the number of pages written by Sarika for completing her own book for 30 days.
$\begin{matrix} Number of pages written per day & 16 - 18 & 19 - 21 & 22 - 24 & 25 - 27 & 28 - 30 Number of days & 1 & 3 & 4 & 9 & 13 \end{matrix}$
Find the mean number of pages written per day.

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Solution

Since, given data is not continuous, we subtract 0.5 from the lower limit and add 0.5 in the upper limit of each class.

$\begin{matrix} Class mark & M i d - v a l u e (x_{i}) & Number of days (f_{i}) & f_{i} x_{i} 15.5 - 18.5 & 17 & 1 & 17 18.5 - 21.5 & 20 & 3 & 60 21.5 - 24.5 & 23 & 4 & 92 24.5 - 27.5 & 26 & 9 & 234 27.5 - 30.5 & 29 & 13 & 377 Total & 30 & 780 \end{matrix}$

$∴ M e a n (¯ x) = \frac{\sum f_{i} x_{i}}{\sum f_{i}} = \frac{780}{30} = 26$
Hence, the mean of pages written per day is 26.

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Question 4 The following table gives the number of pages written by Sarika for completing her own book for 30 days. Number of pages written per day16−1819−2122−2425−2728−30Number of days134913 Find the mean number of pages written per day.