Question

In an evaluation study for a diabetes intervention program, the subjects in the sample had a median age of 45 and a mean age of 55. Which statement accounts for the difference between the median age and the mean age?

A. The sample had more subjects under the age of 45 than over the age of 45.
B. The sample had more subjects over the age of 45 than under the age of 45.
C. The sample included subject(s) who were much older than the age of 45.
D. The sample included subject(s) who were much younger than the age of 45.

Answer 1

The difference between the median age of 45 and the mean age of 55 in a diabetes intervention program study suggests there are subjects significantly older than 45, which skews the mean age upwards.

Step-by-step explanation:

When examining the difference between the median age and the mean age of a group in a diabetes intervention program study, where the median age is 45 and the mean age is 55, one can deduce that there are members in the group significantly older than the median. This assertion is derived from the way the mean is influenced by outliers. Since the mean is higher than the median, we can conclude that there are subject(s) who are much older than the age of 45, which pulls the mean upward.