A bowling team participates in a two-day tournament and records the scores for each team member on both days. The scores for both days are represented by the box plots below.

We can conclude that both data set have the same interquartile range but different median because the median of Friday is greater than the median of Saturday.

What is a boxplot?

A boxplot is a type of chart that is used for the graphical representation of the five-number summary of any data set based on locality, skewness, and spread. Also, the five-number summary of a data include the following:

Minimum

First quartile

Median

Third quartile

Maximum

From the given boxplot we can deduce the following points:

On Friday: Q₁ = 200, Q₂ = 215, Q₃ = 220 and IQR = 20.

On Saturday: Q₁ = 190, Q₂ = 205, Q₃ = 210 and IQR = 20.

Therefore, we can deduce that both data set have the same interquartile range (IQR) but different median because the median of Friday is greater than the median of Saturday.

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