Question

mean of 8 observations is 25.if one observation is excluded,find the mean of the remaining observations​

Answer 1

Answer:

The mean of the remaining observations is, $\bar x_{n}=\frac{1}{7}[\sum x-a]$.

Step-by-step explanation:

The formula to compute mean is:

$\bar x=\frac{1}{n}\sum x$

Given:

$n=8\\\bar x=25$

Compute the sum of all values as follows:

$\bar x=\frac{1}{n}\sum x\\25=\frac{1}{8}\sum x\\\sum x=25\times8=200$

It is provided that a single value was excluded.

Let the value excluded be a.

The value of n is 7.

Compute the new mean as follows:

$\bar x_{n}=\frac{1}{7}[\sum x-a]$

Thus, the mean of the remaining observations is, $\bar x_{n}=\frac{1}{7}[\sum x-a]$.