Question

These box plots show the prices for two different brands of shoes.65 70 75 80 85Brand AHIH206580 8595Brand B0 5 10 15 20 25 30 35 40 45 50 55 60 65 70 75 80 85 90 95 100Price ($)Which statement is the most appropriate comparison of the spreads?

Answer 1

Interquartile range : The interquartile range formula is the first quartile subtracted from the third quartile: IQR = Q3 – Q1.

For the brand A: Q1 = 70 and Q3 = 80

Interquartile range for the brand A = Q3 - Q1

= 80 - 70

= 10

For the brand B: Q1 = 65 and Q3 = 85

Interquartile range for the brand B = Q3 - Q1

= 85 - 65

= 20

Thus, the IQR range for brand A $10, is less than the IQR of brand B $20

Answer : B) The IQR range for brand A $10, is less than the IQR of brand B $20