Question

The mean of 10 observations is 20 , if each observation is added by 5 then find new observation

Answer 1

Question:

The mean of 10 observations is 20 , if each observation is added by 5 then find new observation.

Answer:

The new mean is 25.

Given:

The mean of 10 observations is 20.

To find:

The new mean when 5 is added with each observation.

Explanation:

The mean of 10 numbers is 20.

∴ The sum of the numbers = (20×10)

                                            = 200.

When 5 is added with each observation then the sum gets increased by_

(5×10)

= 50.

∴ The new sum of the numbers_

(200+50)

= 250.

∴ The new mean of the numbers_

(250÷10)

= 25.

∴ The new mean is 25.

Answer 2

Step-by-step explanation:

Given Mean of 10 observations is 20

⟹Sum of 10 observations is S=20×10=200

If each observation is added by 5 Then sum of observations is added by 5×10=50

⟹S

′

=200+50=250

Mean of new observation is

10

S

′

=

10

250

=25