A population consists of five elements: 5,6,8,10,and 13.You choose a random sample of three elements from this population (without replacement).Which of the following is not a possible value of the sample mean?
A)6.33
B)8.00
C)9.33
D)10.67

Question

Quizplus · Accepted Answer

The sample means are calculated by taking the sum of any three elements and dividing by 3. The possible sums are 19, 21, 23, 24, 26, 28, 29, 31, and 33, leading to possible means of 6.33, 7.00, 7.67, 8.00, 8.67, 9.33, 9.67, 10.33, and 11.00. 10.67 is not one of these possible means.

A Population Consists of Five Elements: 5,6,8,10,and 13