The double box-and-whisker plot represents the goals scored per game by two hockey teams during a $20$ -game season. Is the number of goals scored per game significantly greater for one team than the other? Explain.

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Solution

Step 1: Data of Team $A = 0 2 3 4 6$
Median of data Team $A = 3$
IQR of Team $A = 4 - 2 = 2$
Step 2: Data of Team $B = 0 6 7 8 10$
Median of data Team $B = 7$
IQR of Team $B = 8 - 6 = 2$
Step 3: Differences in medians $\div$ IQR $= 7 - 3 \div 2 = 4 \div 2 = 2$
So, the quotient is equal to $2$ the difference in the medians is significant.
Final Answer: Yes, the number of goals scored per game significantly greater for one team than the other.

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