Question

Question 6
10 is the mean of 6 observations. 20 is the mean of 4 observations. The mean of a combined set is given by

Answer 1

Answer:

14yyycfetjgeyjdhhtyu

Answer 2

Given,

10 is the mean of 6 observations. 20 is the mean of 4 observations.

To Find,

The mean of a combined set is given by?

Solution,

We can solve the question as follows:
It is given that the mean of 6 observations is 10 and the mean of 4 observations is 20. We have to find the mean of the combined set.

$Mean\: of\: 6\: observations = 10$

$Mean\: of\: 4\: observations = 20$

The formula for finding the mean is given as:

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

Using the above formula, we will find the sum of all observations in both cases.  

In the first case,

$Sum\: of\: all\: observations = Mean*Total\: no.\: of\: observations$

                                       $= 10*6$

                                       $= 60$

In the second case,

$Sum\: of\: all\: observations = 20*4 = 80$

Now, to find the mean of the combined set, the new sum of all observations will be equal to the sum of all observations in both cases.

$New\: sum\: of\: observations = 60 + 80 = 140$

The new total number of observations will be equal to the sum of the total number of observations in both cases.

$New\: total\: number\: of\: observations = 6 + 4 = 10$

Therefore,

$Mean\: of\: combined\: set = \frac{140}{10} = 14$

Hence, the mean of the combined set will be 14.