Question

An outlier is often defined as a number that is more than 1.5 times the interquartile range below the first quartile or above the third quartile. Using the definition of an outlier and the given information, which of the following can be concluded?
A. The median is greater than the mean, and the distribution has only one outlier. The median is greater than the mean, and the distribution has only one outlier.
B. The median is greater than the mean, and the distribution has two outliers. The median is greater than the mean, and the distribution has two outliers.
C. The median is less than the mean, and the distribution has only one outlier. The median is less than the mean, and the distribution has only one outlier.
D. The median is less than the mean, and the distribution has two outliers.

Answer 1

Full question attached

Answer

Option A: the median is greater than the mean and the distribution has only one outlier

Explanation:

From the data median is definitely greater than mean as we can see from the data of siblings, median which is middle number is somewhere greater than the mean 3.5 from the question. Also from the definition of an oulier and given that the median is just one middle number in data, there is just one outlier in the data