Question

The mean of 100 observations is 60. If one of the observation 50 is replaced by 120, the resulting mean will

be​

Answer 1

Answer:

60.7

Step-by-step explanation:

Let us take total sum of terms except 50 be x .

Then total sum of terms = x + 50.

Total number of terms = 100 .

★ Mean = Total Sum of observations/Total number of observations .

=> Mean = Total Sum of observations/Total number of observations .

=> 60 = x + 50 / 100.

=> 100 × 60 = x + 50.

=> 6000 = x + 50.

=> x = 6000 - 50.

=> x = 5950.

Now , if 50 is replaced by 120 , then

=> Mean = Sum of observations/No.of observations

=> Mean = x + 120 / 100.

=> Mean = 5950 +120/ 100.

=> Mean = 6070/100.

=> Mean = 60.7

Hence the required mean is 60.7 .