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Question

The double box-and-whisker plot represents the weights of cats at two shelters. Are the cats significantly heavier at one shelter than at the other? Explain.


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Solution

Step 1: Data of cats weights in shelter A=457912 pounds
Data of cats weights in shelter B=6781112 pounds

Step 2: Median of shelter A cats = 7
IQR of shelter A cats = 9-5=4
Median of shelter B cats = 8
IQR of shelter B cats = 11-7=4
Step 3: Because the variables are same, you can describe the vision overlap by the expression of the difference in the medians as a multiple of the IQR.
Difference in Median ÷ IQR =8-7÷4=1÷4=0.25
Because the quotient is less than 2, the difference in the medians is not significant.
The cats are not significantly heavier at one shelter than at the other.

Final Answer: The cats are not significantly heavier at one shelter than at the other.


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