Question

If the mean for a sample of 8 people was 10 and the mean for a second sample of 4 people was 20, what would the weighted mean be equal to?

Answer 1

Weighted mean = (8*10+4*20)/(8+4) = 160/12= 40/3 ≈ 13.3

Answer 2

The mean for a sample of 8 people was 10.

And the mean for the second sample of 4 people was 20.

The correct statement of the combined mean is 13.33.

What is a Mean?

Mean is simply defined as the average of the given set of numbers. The mean is considered as one of the measures of central tendencies in statistics. The mean is said to be an arithmetic mean. It is the ratio of the sum of the observation to the total number of observations.

Given

The mean for a sample of 8 people was 10.

And the mean for a second sample of 4 people was 20.

How to find the combined mean?

The formula for the combined mean is,

$\rm Combined\ Mean = \dfrac{M_1 *N_1 +M_2 * N_2}{N_1 + N_2}$

We have

$\rm M_1 = 10 \\\\M_2 = 20\\\\N_1 = 8\\\\N_2 = 4$

Then by the formula, we get

$\rm Combined\ Mean = \dfrac{10*8+20*4}{8+4}\\\\\rm Combined\ Mean = \dfrac{160}{12}\\\\\rm Combined\ Mean = 13.333$

Thus, the combined mean is 13.33.

More about the mean link is given below.

https://brainly.com/question/2426692