Question

the line plot shows the number of states visited by a group of campers. which answer best describes the distribution? a the distribution is symmetric. b the distribution is not symmetric. c there is no outlier. d the lower quartile is 10 states. which are the appropriate measures to describe the center and spread of the distribution? a mean and median b median and mode c mode and interquartile range d median and interquartile range

Explanation:

First Question (Distribution Description)

Looking at the line plot, there's a cluster on the left and a single data point (outlier) on the right, so the distribution isn't symmetric. Option A is wrong. There is an outlier (at 20), so C is wrong. The lower quartile isn't 10 (since 10 has few points), so D is wrong. Thus, B is correct.

With an outlier (like at 20), mean is affected, so we use median (center) and interquartile range (spread, less affected by outliers). Mode isn't good for spread, mean is bad with outliers. So D (median and interquartile range) is correct.

Answer:

B. The distribution is not symmetric.

Second Question (Measures for Center and Spread)