Question

Looking at the means of these samples, which value is most likely to be the mean of the population from which the samples were taken? Sample Number Sample Mean 1 11. 8 2 12. 5 3 15. 1 4 14. 3 5 13. 2000 6 12. 9 10. 2 11. 5 12. 9 15. 4.

Answer 1

The most likely mean of the population from which the samples were taken is 12.96.

What is mean value?

The mean is the average or the most common value in a collection of numbers.

We are given the below data:

Sample Number              Sample Mean

1                                                 11.8

2                                                 12.5

3                                                 15.1

4                                                 14.3

5                                                 13.0  

6                                                 12.9

7                                                 10.2  

8                                                 11.5

9                                                 12.9

10                                                15.4

Now the most likely mean of the population can be found by finding the mean of given sample means. It is given below:

$\rm Mean = \dfrac{11.8+12.5+15.1+14.3+13.2000+12.9+10.2+11.5+12.9+15.4}{10}\\\\ Mean =12.96$

Therefore, the most likely mean of the population from which the samples were taken is 12.96.

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