Answer to Question #189030 in Statistics and Probability for Dydy

Question

The following are the heights of four students in centimeters. Suppose samples of size 2 are taken from this population of four students.

Question: How many samples are possible? List and compute the mean of each sample.

Answer 1

Let the height of four students be  152, 156, 160, and 164 cm

Sample of size 2 to be taken

So, there will be $^4C_2 = 6$ samples of size 2

Samples:

(152,156), (152,160), (152,164), (156,160), (156,164), (160,164)

Mean of each samples:

154 , 156 , 158 , 158 , 160 , 162