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 | 13.0
6 | 12.9
options: 10.2, 11.5, 12.9, 15.4

Explanation:

Step1: Calculate mean of sample means

Add all sample means, divide by 6.
$\text{Mean of sample means} = \frac{11.8 + 12.5 + 15.1 + 14.3 + 13.0 + 12.9}{6}$

Step2: Compute the sum first

Sum the values in the numerator.
$11.8 + 12.5 + 15.1 + 14.3 + 13.0 + 12.9 = 79.6$

Step3: Divide to find the average

Divide the total sum by the number of samples.
$\text{Mean of sample means} = \frac{79.6}{6} \approx 13.27$

Step4: Match to closest option

Compare the result to given choices.
The value 12.9 is closest to 13.27.

Answer:

12.9