Question

Mean of 10 observations is 15. If each observation is increased by 2 then what will be new mean? O 10 O O 15 O 12 O O 17 O​

Answer 1

17 is the answer

hope you are answered

Answer 2

The new mean = 17

Given :

• Mean of 10 observations is 15

• Each observation is increased by 2

To find :

The new mean is

• 10

• 15

• 12

• 17

Solution :

Step 1 of 3 :

Write down the sum of observations

Here it is given that mean of 10 observations is 15

So sum of 10 observations

= 10 × 15

= 150

Step 2 of 3 :

Find new sum of observations after increasing each observation by 2

Number of observations = 10

Since each observation is increased by 2

So sum of observations will increased by

= 10 × 2

= 20

So new sum of observations after increasing each observation by 2

= 150 + ( 10 × 2 )

= 150 + 20

= 170

Step 3 of 3 :

Find the new mean

Number of observations = 10

Thus the required new mean

$\displaystyle \sf{ = \frac{New \: sum \: of \: the \: observations}{Number \: of \: observations} }$

$\displaystyle \sf{ = \frac{170}{10} }$

$\displaystyle \sf{ = 17 }$

Hence the correct option is 17

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