Question

side-by-side box-and-whisker plots can be used to compare two or more different data sets. each box-and-whisker plot is drawn on the same number line to compare the data sets more easily. the lengths (in seconds) of songs played at two different concerts are shown. complete parts a through d below.

(a) describe the shape of each distribution. which concert has less variation in song lengths?
the distribution of concert 1 is skewed left.
the distribution of concert 2 is symmetric.
which concert has less variation in song lengths?
concert 2 has less variation in song lengths.

(b) which distribution is more likely to have outliers? explain your reasoning.
is more likely to have outliers because it has variation.

Explanation:

Analyze the box-and-whisker plots

Using the Box-and-Whisker Plot knowledge point

$$
LATEXBLOCK0
$$

Compare variation and outlier likelihood

Using the Measures of Variation knowledge point

$$
LATEXBLOCK1
$$

Concert 1 has much greater variation (spread) than Concert 2. A larger spread/variation increases the likelihood of having extreme values or outliers.

Fill in the blanks

The first dropdown asks which concert is more likely to have outliers. Based on the variation comparison, Concert 1 is more likely to have outliers because it has greater variation.

Answer:

<blank>Concert 1</blank> is more likely to have outliers because it has <blank>greater</blank> variation.