You want to compare the number of words per sentence in a sports magazine to the number of words per sentence in a political magazine.
The double box-and-whisker plot represents the means of $200$ random samples of $20$ sentences from each magazine.
Compare the variability of the sample means to the variability of the sample numbers of words.

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Solution

Step 1: Data of Sports magazine $= 16 19 20 21 23$
Median of Sports magazine = $20$
IQR of Sports magazine $= 21 - 9 = 12$
Step 2: Data of Political magazine $18 22 23 24 26$
Median of Political magazine $23$
IQR of Political magazine = $24 - 22 = 2$
Step 3: Mean of Sports magazine
$= \frac{16 + 19 + 20 + 21 + 23}{5} = 99 \div 5 = 19.8$
Mean of Political magazine =
$= \frac{18 + 22 + 23 + 24 + 26}{5} = 113 \div 5 = 22.6$
Hence, The variability of the sample is similar to the variability of the sample numbers of words.

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