# <span lang="EN-US

Given, no of observations = n

And sum of deviation from 25 is 25 and sum of deviation from 35 is -25.

Let the actual mean be x,

We know that

Arithmetic mean, Where, a is assumed mean.

In first case, where assumed mean, a = 25 and sum of deviation is 25, Putting values in formula

We have, In first case, where assumed mean, a = 35 and sum of deviation is -25, Putting values in formula

We have, Adding  and , we get 2x = 60

x = 30

arithmetic mean of required data is 30.

Rate this question :

How useful is this solution?
We strive to provide quality solutions. Please rate us to serve you better.
Try our Mini CourseMaster Important Topics in 7 DaysLearn from IITians, NITians, Doctors & Academic Experts
Dedicated counsellor for each student
24X7 Doubt Resolution
Daily Report Card
Detailed Performance Evaluation view all courses RELATED QUESTIONS :

<span lang="EN-USAP - Mathematics

<span lang="EN-USAP - Mathematics

<span lang="EN-USAP - Mathematics

<span lang="EN-USAP - Mathematics

<span lang="EN-USAP - Mathematics

<span lang="EN-USAP - Mathematics

<span lang="EN-USAP - Mathematics

<span lang="EN-USAP - Mathematics

<span lang="EN-USAP - Mathematics

<span lang="EN-USAP - Mathematics