Question

The mean of 100 observatios is 50. if one of the observation which was 50 is replaced 150 then what will be the resulting mean??​

Answer 1

Answer:

$\huge  \boxed {&#10029\red{Answer~}&#10029}$

The mean of 100 observations is 50.

As we know that,

Mean = Sum of observations / Total

observations

Let the sum of observations be x

Put the required values,

50 = x / 100

x = 50 * 100

X= 5000

Thus, The sum of observation is 5000.

Now, One of the observations which was 50 is replaced by 150

Therefore,

According to the question,

5000 - 50 = 4950

Here, One observation that is 50 is subtracted so total observation is 99 But we have to find the mean of 100 observation and it is also given in the question to replace 50 by 150.

4950 + 150 = 5100

Thus, The new sum of observations is

5100

Now,

By using the formula of mean

Mean = Sum of observation / Total

observations

Mean = 5100/100

Mean = 51

$\huge\blue{\boxed{\blue{ \bold{\fcolorbox{red}{black}{\green{Hope\:It\:Helps}}}}}}$

Answer 2

Given

the mean of 100 observatios is 50. if one of the observation which was 50 is replaced 150 then what will be the resulting mean

To find

mean

solve

Now, the observation 50 is replaced by 150, then Eq. ( i) becomes, 100Σi=1xi=5000-50+150=5100. ∴ Resulting mean =100Σi=1xi100=5100100=51. Hence, the resulting mean is 51.