Question

The box plot represents height of residential buildings in two localities of a town.
The ratio of difference of median to IQR for both the locality is

• A. 0.25
• B. 1
• C. 2
• D. 0.5

Answer 1

The correct option is B 1


For locality 1:
Median${}_1$ = 45
Median of lower quartile(Q1) = 40
Median of upper quartile(Q3) = 60
IQR= Q3 - Q1
= 60 - 40
= 20

For locality 2:
Median${}_2$ = 65
Median of lower quartile(Q1) = 55
Median of upper quartile(Q3) = 75
IQR = Q3 - Q1
= 75 - 55
= 20

Difference in median = 65 - 45
= 20
IQR = 20

$\therefore \text{Ratio =}\frac{20}{20}=1$