Question

The box plot represents number of people visiting two parks between 5pm and 7pm.

Choose the correct statement from the following options.

• A. Median of Park A = 45
• B. Median of lower quartile of Park A = 25
• C. IQR of the both parks are equal
• D. Median of Park B = 85

Answer 1

The correct option is B Median of lower quartile of Park A = 25

From the Plot,
For park A:
Median = 50
Median of lower quartile(Q1) = 45
Median of upper quartile(Q3) = 70
IQR = Q3 - Q1
= 70 - 45
= 25

For park B:
Median = 75
Median of lower quartile(Q1) = 85
Median of upper quartile(Q3) = 60
IQR = Q3 - Q1
= 85 - 60
= 25
Here,
Difference in median = 75 - 50 = 25
IQR of Park A = IQR of Park B