Question

determine the distribution of the data pictured below. based on the shape of this distribution, what is the appropriate numerical summaries? mean and standard deviation median and quartiles symmetric skewed - right skewed - left question help: message instructor submit all parts

Explanation:

Step1: Analyze box - plot shape

In a box - plot, if the median is closer to the first quartile and the right - hand whisker is longer than the left - hand whisker, the distribution is skewed right. In the given box - plot, the right - hand whisker is longer and the median is closer to the first quartile.

Step2: Recall summary statistics for skewed data

For skewed right data, the mean is affected more by the extreme values in the right tail. So, the appropriate numerical summaries are median and quartiles as they are not as affected by outliers as the mean and standard deviation.

Answer:

Median and Quartiles, Skewed - right