Question

15) Mean of 20 observations is 110, if each observation is divided by 2, what will be the new mean? (Ch: Statistics) ​

Answer 1

Step-by-step explanation:

1 mean = 110 ÷20 =5.5

if each observation is divided by 2 then there will be 10 observations.

:.the new mean will be 5.5×10= 55 mean

Answer 2

Given,

The mean of 20 observations is 110.

To Find,

If each observation is divided by 2, what will be the new mean?

Solution,

We can solve the question as follows:

It is given that the mean of 20 observations is 110. We have to find the new mean if each observation is divided by 2.

$Mean\: of\: 20\: observations = 110$

The formula for finding the mean is given as:

$Mean = \frac{Sum\: of\: all\: observations}{Total\: no.\: of\: observations}$

Substituting the values in the above formula,

$110 = \frac{Sum\: of\: all\: observations}{20}$

$Sum\: of\: all\: observations = 2200$

Therefore, the sum of all observations is 2200.

Now, when each observation is divided by 2, the sum of observations is also divided by 2. The new sum of observations will be:

$New\: sum\: of\: observations = \frac{2200}{2} = 1100$

The new mean will be:

$New\: mean = \frac{1100}{20} = 55$

Hence, the new mean is equal to 55.