Question

A random sample produced the pie chart below. The chart gives percentages of students that under reported, accurately reported, and over reported their heights. If there are 2,500 students at the school, how many of them can you reasonably expect report their height accurately?

A. 500
B. 200
C. 50
D. 20

Answer 1

Option A) 500

Explanation:

We are given the following information:

Total number of students = 2500

From pie chart:

`\text{Under Reported }= \displaystyle(1)/(5)* 100\% = 20\%\\\text{Accurately Reported }= \displaystyle(1)/(5)* 100\% = 20\%\\\text{Over Reported }= \displaystyle(3)/(5)* 100\% = 60\%`

We have to find the number of students whose height were accurately reported =

`\text{Number of students whose height were accurately reported }= \\\text{Number of students}* \text{Percentage of students whose height were accurately reported}\\= 2500* 20\%\\\\= 2500* \displaystyle(20)/(100) = 2500* (20)/(100) = 500`

500 students report their height accurately.

Answer 2

The correct option is A.

Explanation:

Total number of students at the school is 2,500.

In the given pi chart Pink, Yellow and Sky Blue color represent the percentage of students that under reported, accurately reported, and over reported their heights respectively.

From the graph we can conclude that the yellow portion is approximately one fifth of whole circle. It means the number of students that accurately reported their height is one fifth of total number of students.

`2500* (1)/(5)=500`

Therefore the number of students that accurately reported their height is 500. Option A is correct.