Question

the average of 5 no. is 18, if one no. is removed then average becomes 16. Find the removed no.​

Answer 1

Answer: I thought it is wrong but don't worry check it by yourself

Answer 2

Answer:

The value of the observation removed is 26.

Step-by-step explanation:

The mean of a set of data is computed using the formula: $\bar x=\frac{1}{n}\sum x_{i}$

The mean of 5 observations is 18.

Then the sum of 5 observations is:

$\\ \bar x=\frac{1}{n}\sum x_{i}\\18=\frac{1}{5}\sum x_{i}\\\sum x_{i}=90$

The sum of five observations is 90.

An observation is removed from this set.

The new mean of 4 observations is 16.

Compute the sum of 4 observations as follows:

$\\ \bar x=\frac{1}{n}\sum x_{i}\\16=\frac{1}{4}\sum x_{i}\\\sum x_{i}_{N}=64$

The value of the observation removed is:

$\sum x_{i}-\sum x_{i}_{N}=90-64=26$

Thus, the value of the observation removed is 26.