Exercise 11 Page 724

A line plot is a way of illustrating a data set in which each data point is represented with a mark above a number line. Marks representing the same elements are stacked above each other. We want to determine which statement about the given distribution holds true. Let's check the validity of the given statements one at a time.

Statement A

We can begin by identifying the shape of the distribution on the given line plot.

We can see that the right side of the distribution does not look like the left side. This means that the distribution is not symmetric. Therefore, statement A is false.

Statement B

Let's start by recalling some facts about measures that best describe the center of a distribution.

We know that the distribution is not symmetric, so the measure that best describes the center of the distribution is the median. This result corresponds to statement B. Even though we found that statement B is correct, let's review statements C and D, just to be sure.

Statement C

First, let's recall some facts about measures that best describe the spread of a distribution.

We know that the distribution is not symmetric, which means that the measure that best describes the spread of the distribution is the interquartile range. Therefore, statement C is false.

Statement D

We can begin by identifying any gaps in the data set. Let's recall the definition of a gap.

We can see on the graph that gaps appear from $2$ to $4$ and from $7$ to $9.$ This means that statement D is false.