Answer to Question #179454 in Statistics and Probability for Moazzam

Question

A population consists of the following measurement 3,8,14,17,and 58 consider all the sample of size 3 taken from this population without replacement

(1)List the sample of the mean and media respectively

(2) calculate the mean of the sample distribution of the media and the means

Answer 1

(1) Mean

$\bar{X} = \frac{3+8+14+17+58}{5} = 20$

Median = 14

(2) n = 60

$Mean_{sd} = \frac{\sum Mean_i}{60} = 20.07$

Median = 24 (by Excel function)