Question

The mean of eight number is 23.one more number is added to it. the new mean reduce to 22. find the number added

Answer 1

Answer:

14.

Step-by-step explanation:

Total of the 8 numbers = 23 * 8 = 184.

The new mean is 22 so

(184 + x)/9 = 22   (where x is the new number).

184 + x =  22*9 = 198

x = 198 - 184 = 14.

The number added is 14.

Answer 2

Answer:

The new number added is 14.

Step-by-step explanation:

Mean is the sum of all observations or frequency divided by the total number of observations or frequency or in a simple way we can say that it is average.

The total frequency of numbers is 8 and the mean of these 8 numbers is 23.

$Mean = \frac{Sum \ of \ all \ Numbers}{Total \ frequency} \\\\23 = \frac{Sum \ of \ all \ Numbers}{8} \\Sum \ of \ all \ 8 \ numbers=23 \times 8\\Sum \ of \ all \ 8 \ numbers=184$

Now a new number is added and the new mean is 22.

Let us assume that the new number is $x$.

Now, the new frequency of number is 9

So, the new mean is

$Mean=\frac{184+x}{9} \\\\22=\frac{184+x}{9}\\\\ 22 \times 9=184+x\\\\198=184+x\\\\x=198-184\\\\x=14$

Therefore, the new number added is 14.