Question

the mean of 16 numbers is 8 if 2 is added to every number ,
find the new mean ​

Answer 1

Answer:

The new mean is 10

Step-by-step explanation:

Total numbers are 16

Mean of 16 numbers is 8

Let sum of 16 numbers be x

Formula for mean is

$Mean = \frac{Sum\hspace{0.1cm}of\hspace{0.1cm}numbers}{Total\hspace{0.1cm}numbers}$

Thus, we get

$8 = \frac{x}{16}\\\\ x = 16 \times 8\\\\x = 128$

Now, given that 2 is added to every number

Thus, in existing sum, we need to add 16 times 2 number as every number is increased by 2

Thus, new sum is calculated as

$New\hspace{0.1cm}Sum = 128 + (\,16 \times 2)\,\\\\ New\hspace{0.1cm}Sum = 128 + 32\\\\ New\hspace{0.1cm}Sum = 160$

Thus, new mean is calculated as follows:

$Mean = \frac{160}{16}\\\\ Mean = 10$

Hence, new mean is 10

Answer 2

The new mean will be 10