The double box-and-whisker plot represents the medians of $100$ random samples of $20$ battery lives for two cell phone brands. Compare the battery lives of the two brands.

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Solution

Step 1: Data of Brand $A = 16.5 20 26 28 30$
Median of Brand $A = 26$
IQR of Brand $A = 28 - 20 = 8$
Step 2: Data of Facility $B = 5 15 20 35 45$
Median of Facility $B = 20$
IQR of Facility $B = 35 - 15 = 20$
The variation in the center of Facility A is similar to the measure of Facility B and the variation of Facility B is greater than the variation of Facility A.
The variation in the center of Brand B batteries is greater than the measure of Brand A batteries and the variation of Brand A batteries is similar to the variation of Brand B batteries.

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The double box-and-whisker plot represents the medians of 100 random samples of 20 battery lives for two cell phone brands. Compare the battery lives of the two brands.

The double box-and-whisker plot represents the medians of $100$ random samples of $20$ battery lives for two cell phone brands. Compare the battery lives of the two brands.