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.

Answer 1

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.