A research article reports that the mean number of group treatment sessions attended by a sample of people was 20,with a median of 12 and a mode of 10.Which of the following statements is/are true about the sample?
A)It is normally distributed.
B) Some people attended much more than 20 sessions.
C) Most people attended about 15 to 20 sessions.
D) More than half the sample attended exactly 10 sessions.

Question

Quizplus · Accepted Answer

Since the median (12) is less than the mean (20) and the mode (10) is even lower, the distribution is likely skewed to the right. This means that some people attended many more sessions than the mean of 20, supporting choice B. Choice A is not necessarily true since skewness means that the distribution is not normal. Choice C is not necessarily true since the mode suggests a cluster of people who attended only 10 sessions, not 15-20. Choice D is not true because the mode only indicates the number of people who attended exactly 10 sessions, not the proportion of the sample.

A Research Article Reports That the Mean Number of Group