Question

The mean of numbers is 25. If one more number is included, the mean of new set of numbers become 26. Find the new number.

Answer 1

Answer:

n+26

Step-by-step explanation:

mean=25

sum=25*n

1 more number include sum = 26(n+1)

new number=26(n+1)-25n

=26n+26-25n

=n+26

Hope it helps

Answer 2

Complete Question:

The mean of 8 numbers is 25. If one more number is included the mean of new set of numbers becomes 26. Find the new number

Answer:

The new number is 34

Solution:

The mean is given as:

$Mean = \frac{ \text{ sum of all observations }}{ \text{ total number of observations }}$

Given that,

The mean of 8 numbers is 25

Therefore,

$25 = \frac{ \text{ sum of all observations }}{ 8 }$

$\text{ sum of all observations } = 25 \times 8\\\\\text{ sum of all observations } =200$

If one more number is included, the mean of new set of numbers become 26

Let "n" be the number that is added

Now, total observations = 9

Therefore,

$26 = \frac{ \text{ sum of all observations + n }} { 9}\\\\ \text{ sum of all observations + n } = 26 \times 9\\\\200 + n = 234\\\\n = 234 - 200\\\\n = 34$

Thus the new number is 34

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