Question

Which of the following statements about the given plot is false?

• A. If more boys in the age group of 12 and 14 visit the next day, boys will have a greater measure of the center.
• B. If more girls in the age group of 10 and 14 years visit the next day, then the lower whiskers for them may reduce in length.
• C. If more boys of the age 10 years visit the next day, the box size may reduce and the whiskers may increase.
• D. If more boys in the age group of 14 and 16 visit the next day, the boys will have a greater measure of the center.

Answer 1

The correct option is A If more boys in the age group of 12 and 14 visit the next day, boys will have a greater measure of the center.

a. If more boys in the age group of 12 and 14 visit the next day, boys will have a greater measure of the center. ☒
Reason: If more boys in the age group of 12 and 14 visit the next day, the measure of center will shift left and will have lesser measure of center.

b. If more boys in the age group of 14 and 16 visit the next day, the boys will have a greater measure of the center.☑
If more boys in the age group of 14 and 16 visit the next day, the measure of center will be greater as there will be more values between 14 and 16.

c. If more girls in the age group of 10 and 14 years visit the next day, then the lower whiskers for them may reduce in length.☑
Reason: If more girls in the age group of 10 and 14 years visit the next day, then the lower whiskers for them may reduce in length because there will be more data in the right whisker, increasing its size.

d. If more boys of the age 10 years visit the next day, the box size may increase and reduce the whiskers.☑
Reason: If more boys of the age 10 years visit the next day, the box size may increase and reduce the whiskers, because the more data towards the left will shift the lower quartile left.