Question

Mean of 50 observations is 50. If each observation increased by 4 then new mean is?

Answer 1

Answer:

the mean will again be 50 only , since adding or subtracting the same number from all observation does not increase the mean

so mean is 50

Answer 2

The new mean is 54.

Given,

The mean of 50 observations is 50.

To Find,

If each observation increased by 4, then the new mean is?

Solution,

We can solve the question as follows:

It is given that the mean of 50 observations is 50. If each observation increased by 4, we have to find the new mean.

$Mean\: of\: 50\: observations = 50$

First, we will find the sum of all observations.

The formula for finding the mean of a set of observations is:

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

Substituting the values,

$50 = \frac{Sum\: of\: all\: observations}{50}$

$Sum\: of\: all\: observations = 50*50 = 2500$

Now,

Each observation is increased by 4. The new sum of all observations will be:

$New\: sum\: of\: 50\: observations = 2500 + (4*50) = 2500 + 200 = 2700$

Therefore, the new mean will be:

$New\: mean = \frac{2700}{50} = 54$

Hence, the new mean is 54.

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