The table below shows the grades achieved by 30 pupils in their end-of-year exam.

 

Grade

A

B

C

D

E

Frequency

7

11

6

4

2


Represent above data by a pie chart.

Asked by Topperlearning User | 30th May, 2014, 10:48: AM

Expert Answer:

To show this information in a pie chart, follow the steps given below.

 

Work out the total number of pupils: 7 + 11 + 6 + 4 + 2 = 30

 

To work out the angle of each segment, work out the fraction of the total for each grade.

Fraction for grade A =

 

There are 360° in a full turn, so to work out the angle, multiply the fraction by 360o: × 360 = 84°

Angle made by the sector representing grade A is 84°

 

Repeat this process to find the angle of the sectors for the other grades

 

 

 

Grade

Frequency

Angle

A

7

 

B

11

 

C

6

 

D

4

 

E

2

 

 

 

 

The steps to draw the pie chart are as follows:

1) Draw a line segment xy. Make an angle of 84o with xy. This sector will correspond to grade A.

2) Continue making the sectors B, C, D and E to obtain the required pie chart.

 

 


Answered by  | 30th May, 2014, 12:48: PM