Question

Sum of 12 observations is256 if one of observation 14 is deleted find the mean of remaining observations

Answer 1

Given,
No. of observations = 12
Sum of observations = x
Arithmetic mean = x/12
=> 256 = x/12
=> 256(12) = x
=> 3072 = x
If 14 is removed from the observations,
No. of observations = 11
Sum of observations = 3072-14
= 3058
Arithmetic mean = 3058/11 = 278

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Answer 2

Given:

The Sum of 12 observations is 256.

To find:

The mean of remaining observations if one of the observations 14 is deleted.

Solution:

If one of the observations 14 is deleted, the mean of the remaining observations is 22.

To answer this question, we will follow the following steps:

First of all, we should know that the mean of 'n' observations is equal to the sum of all 'n' observations divided by the total number of observations i.e. n.

This means

$Mean = \frac{sum \: of \: n \: observations}{n}$

Now, as given, we have,

Sum of 12 observations = 256

If one observation which is 14 is deleted,

then

Sum of observations

$= 256 - 14$

$= 242$

Also,

Number of observations

$= 11$

Thus,

Mean of remaining observations

$= \frac{242}{11}$

$= 22$

Hence, the mean of the remaining observations is 22.