Two lakes each contain about $2000$ fish. The double box-and-whisker plot shows the medians of $50$ random samples of $14$ fish lengths from each lake. Can you determine which lake contains longer fish? Explain.

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Solution

Step 1: Data of Lake $A = 6 7 8 9 10$
Median of Lake $A = 8$
IQR of Lake $A = 9 - 7 = 2$
Step 2: Data of Lake $B = 3 4 5 6 7$
Median of Lake $B = 5$
IQR of Lake $B = 6 - 4 = 2$
Final Answer: Lake A is the Lake contains longer fish because the measure in the variation is comparatively greater than the measure of variation of Lake B.

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Two lakes each contain about 2000 fish. The double box-and-whisker plot shows the medians of 50 random samples of 14 fish lengths from each lake. Can you determine which lake contains longer fish? Explain.

Step 1: Data of Lake A=678910Median of Lake A=8IQR of Lake A=9-7=2Step 2: Data of Lake B=34567Median of Lake B=5IQR of Lake B=6-4=2Final Answer: Lake A is the Lake contains longer fish because the measure in the variation is comparatively greater than the measure of variation of Lake B.

Two lakes each contain about $2000$ fish. The double box-and-whisker plot shows the medians of $50$ random samples of $14$ fish lengths from each lake. Can you determine which lake contains longer fish? Explain.