Question

Students of a class voted for their favourite colour and a pie chart was prepared based on the data collected. Which of the following is a reasonable conclusion for the given data?

• A. $\frac{1}{20}th$ of the students voted for blue colour.
• B. Green is the least popular colour.
• C. The number of students who voted for red colour is two times the number of students who voted for the yellow colour.
• D. The total number of students whose favourite colour is yellow and green colour is less than the number of students whose favourite colour is red.

Answer 1

The correct option is D The total number of students whose favourite colour is yellow and green colour is less than the number of students whose favourite colour is red.

(a) $\frac{1}{20}th$ of the total students equals $5$. But $25$ of the students voted for blue. Hence, this option is wrong.
(b) Green has a greater percentage on the pie chart than yellow and pink. So green cannot be the least favourite colour. Hence, this option is wrong.
(c) The number of students who voted for red is equivalent to $35$. $35$ is not twice of $20$. Hence, this option is wrong.
(d) Total percentage of the students liking either green or yellow is $20\%+14\%=34\%$. This is less than the total percentage of students liking red, which is $35\%$. Hence, this option is right.