Mean of 50 observations was found to be 80.4. But later on, it was discovered that 96 was misread as 69 at one place. Find the correct mean.

Solution:

Given, the mean of 50 observations is 80.4

It was discovered that 96 was misread as 69 at one place.

We have to find the correct mean.

Mean = sum of all observations / total number of observations

Given, mean = 80.4

Number of observation = 50

Sum of all observations = 80.4(50)

= 804(5)

= 4020

Now, correct mean = (4020 - 69 + 96) / 50

= (4116 - 69)/50

= 4047/50

= 80.94

Therefore, the correct mean is 80.94

✦ Try This: Mean of 50 observations was found to be 100. But later on, it was discovered that 56 was misread as 65 at one place. Find the correct mean.

☛ Also Check: NCERT Solutions for Class 9 Maths Chapter 14

NCERT Exemplar Class 9 Maths Exercise 14.3 Problem 12

Mean of 50 observations was found to be 80.4. But later on, it was discovered that 96 was misread as 69 at one place. Find the correct mean.

Summary:

Mean of 50 observations was found to be 80.4. But later on, it was discovered that 96 was misread as 69 at one place. The correct mean is 80.94

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