Question

The double box-and-whisker plot shows the test scores for two French classes taught by the same teacher.

Express the difference in the measures of center as a multiple of the measure of variation.

Answer 1

Step 1:Data of Class $A=76848892100$
Median of Class $A=\frac{76+84+88+92+100}{5}$
$=440÷5=88$
IQR of Class $A=92-84=8$

Step 2: Data of Class $B=68768084100$
Median of Class $B=\frac{68+76+80+84+100}{5}$
$=408÷5=81.6$
IQR of Class $B=84-76=8$
Final Answer: The difference of the Variation of Class A is similar to the Variation of Class A and the measures of the center of Class A is comparably greater than the measures of the center of Class B.