3
QuizMultiple Choice
Sampling Distributions – Center and Variability
Question 3 of 10 • NC-Math 4
The ages of the 5 officers for a school club are 18, 18, 17, 16, and 15. The median of the ages of the officers is 17.0. The table displays all possible samples of size 2 and the corresponding median for each sample.Using the medians in the table, is the sample median an unbiased estimator?
Answer
A
Yes, 50% of the sample medians are 17 or more, and 50% are below.B
Yes, the mean of the sample medians is 16.8, which is the same as the mean age of the officers.C
No, the mean of the sample medians is 16.8, which is not the same as the median age of the officers.D
No, the median of the sample medians is 16.75, which is not the same as the median age of the officers.