0580/32 Feb/Mar 2021, Question 1: Pie Charts

Part (a) · 1 mark

Find how many more students chose biology than physics from the bar chart.

1. 1From the bar chart: biology = 11, physics = 6
2. 211 − 6 = 5

Answer5

Part (b) · 1 mark

Write the fraction of the 20 students whose favourite subject is chemistry.

1. 1Chemistry = 3 out of 20 students
2. 2Fraction = 3/20

Answer3/20

Part (c) · 2 marks

Find the probability that a randomly chosen student did not choose biology.

1. 1From the bar chart, 11 students chose biology.
2. 2Not biology: 20 − 11 = 9 students.
3. 3P(not biology) = 9/20

Answer9/20

Part (di) · 1 mark

State which of median, mode and mean can be found from the bar chart results.

1. 1The data are subjects (not numbers), so only the mode can be found
2. 2Mode

AnswerMode

Part (dii) · 1 mark

Calculate the value of the average identified in part di.

1. 1Biology has the highest frequency (11)
2. 2Mode = Biology

AnswerBiology

Part (diii) · 1 mark

Explain why the range cannot be determined from these results.

1. 1The results are subjects, not numerical values, so there is no largest or smallest value to subtract

AnswerCorrect reason

Part (ei) · 3 marks

Complete the table with frequencies and pie chart sector angles for each subject.

1. 1Each student = 360 ÷ 20 = 18°
2. 2Biology: 11 × 18 = 198°
3. 3Chemistry: 3 × 18 = 54°
4. 4Physics: 6 × 18 = 108°

Answer| Biology | 11 | 198 | | Chemistry | 3 | 54 | | Physics | 6 | 108 |

Part (eii) · 2 marks

Complete the pie chart using the sector angles calculated in part ei.

1. 1Starting from the radius drawn, measure a sector of 198° and label it Biology
2. 2Then measure 54° for Chemistry; the remaining 108° is Physics
3. 3Check: 198 + 54 + 108 = 360°

AnswerCorrect pie chart drawn

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