Question

the mean of 8 numbers is 25.if each number multuply by 2.what what will be the new mean?

Answer 1

Hi...☺

Here is your answer...✌

Let the 8 numbers are
x1 , x2 , x3 , x4 , x5 , x6 , x7 , x8

Given that

MEAN = 25

$\frac{x1 + x2 + x3 + ... + x8}{8} = 25 \\ \\ x1 + x2 + x3 + ... + x8 = 200 \: \: \: .....(1)$

Now,

When All numbers are multiplied by 2
Then Numbers are
2x1 , 2x2 , 2x3 ,... 2x8

MEAN = Sum of numbers/Total numbers

$mean = \frac{2x1 + 2x2 + 2x3 + ... + 2x8}{8} \\ \\ = \frac{ 2(x1 + x2 + x3 + ... + x8)}{8} \\ \\ = \frac{2 \times 200}{8} \: \: \: \: \: \: \: \: \: \: \: | \: from \: (1) \: | \\ \\ = \frac{400}{8} \\ \\ = 50$

Answer 2

Answer:

Answer is in attachment

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