Question

examine the pie chart below and then answer the questions that follow. classroom feelings about mathematics - 60 students 10%, hate it 10%, love it 15%, dislike it 30%, like it 35%, neutral love it like it neutral dislike it hate it a) the “neutral” section of the pie chart covers how many degrees? b) how many students do not hate math? c) which response was given by 18 students? (continued on next page)

Explanation:

Step1: Find degrees for "Neutral"

A full - circle is 360 degrees. The percentage of "Neutral" is 35%. So we multiply 360 by 35% (or 0.35).
$360\times0.35 = 126$

Step2: Find number of students who don't hate math

The percentage of students who hate math is 10%. So the percentage of students who don't hate math is $100 - 10=90\%$. There are 60 students in total. We multiply 60 by 90% (or 0.9).
$60\times0.9 = 54$

Step3: Find the response for 18 students

We find the percentage of 18 out of 60. $\frac{18}{60}=0.3$ or 30%. From the pie - chart, 30% corresponds to "Like it".

Answer:

a) 126 degrees
b) 54 students
c) Like it