Question

mean of 50 observations was found to be 80.4 but later it was discovered that 96 was misread as 69 at one place. find the correct mean​

Answer 1

Step-by-step explanation:

Given Mean of 50 observations was found to be 80.4 but later it was discovered that 96 was misread as 69 at one place. find the correct mean

• We know that mean = sum of observations / number of observations
• Mean of 50 observations is 80.4
• Let a be the sum of observations
• So a + 69 / 50 = 80.4
• Now a + 69 = 80.4 x 50
• So a + 69 = 4020
• Or a = 3951 -------------1
• Adding 96 to the terms obtained we get
• 3951 + 96 = 4047
• We need to find mean for 50 terms
• So 4047 / 50
•    = 80.94

Therefore the corrected mean is 80.94

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Answer 2

Answer:

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

Step-by-step explanation:

We first get the the total value of the observations using the wrong mean.

The total value of the observations = mean × the number of observations

This is equal to:

= 50 × 80.4 = 4020

Since 96 was misread as 69, the total value of the observation is less by:

96 - 69 = 27

So, the real value of the observation s is give by:

4020 + 27 = 4047

The correct mean of the observations is therefore:

4047/50 = 80.94

Correct mean = 80.94