Question

Can u find the mean by assumed mean method? ​

Answer 1

Answer:

hey here is your answer in above pics

pls mark it as brainliest answer pls

Answer 2

Question:

Find the mean of the data using Assumed mean method.

$\begin{array}{| c ||c|} \bf \: class - interval& \bf frequency \\ 10 - 15 &7\\ 15 - 20&9 \\ 20 - 25&6 \\ 25 - 30 &5\\ 30 - 35 &3\end{array}$

Solution:

We have our formula for Assumed mean method i.e

$\boxed {Mean = a+ \frac{\sum f_id_i}{\sum f_i}}$

$f_i = \sf frequency~of~the~interval \\\\ a= \sf assumed ~mean \\\\ d_i = \sf deviation (x_i - a)$

Make a table:

$\begin{array}{|c||c||c||c||c|} \bf \: \underline{class - interval}& \bf \underline{ frequency (f_i)}& \bf \underline{class \: mark(x_i)} & \bf \underline{d_i=(x_i - a)} & \bf \underline{ \: \: \: \: \: \: \: \: \: \: f_id_i \: \: \: \: \: \: \: \: }\\ 10 - 15 &7&12.5& - 10& - 70\\ 15 - 20&9&17.5& - 5 & - 45\\ 20 - 25&6&22.5( a)&0&0 \\ 25 - 30 &5&27.5&5&25\\ 30 - 35 &3&32.5&10&30 \\ & \overline{\sum f_i = 30}& & & \overline{ \sum f_id_i = - 60}\end{array}$

Put the values in formula:

$Mean = a+ \frac{\sum f_id_i}{\sum f_i} \\\\ Mean= 22.5 + \frac{-60}{30} \\\\ Mean= 22.5+ (-2) \\\\ \bf Mean= 20.5$