Question

the mean of 200 items was 50 later on it was discovered that two items were misread as 92 and 8 instead of 1 92 and 88 find mean ​

Answer 1

Answer:

Corrected mean = 50.5

Step-by-step explanation:

Mean = Sum of observations / No. of observations

Sum of observations = Mean * No. of observations

No. of observations = 200

Original Mean = 50

=> Original sum of observations = 200*50 = 10000

Two observations were incorrectly recorded.

Correct sum of two observations = 192 + 88 = 200

Incorrect sum of two observations = 92 + 8 = 100

Correct mean = Correct sum of observations / No. of observations

Now,

Correct sum of observations

= Original sum of observations

-  Incorrect sum of 2 observations

+ Correct sum of 2 observations

Correct sum of observations = 10000 - 100 + 200 = 10100

=> Correct mean = 10100/200 = 50.5