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Pie charts and samples
Dynamic tasks on sectors, percentages and data represented by pie charts. The test also checks understanding of representative samples and sampling methods.
Questions: 10Estimated time: 19 minutes
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Question 1out of 10
A survey included 100 students. In the pie chart, 40% chose answer A. How many students chose A?
Student count = total respondents × p ÷ 100. Apply the percentage to the full survey sample.
Question 2out of 10
A category represents 10% of a pie chart. What is the angle of its sector?
A full circle represents 360° and 100%. Sector angle = p ÷ 100 × 360°. For example, 25% corresponds to 90°.
Question 3out of 10
Which category has the largest share in the pie chart?
Compare the sectors or their labelled percentages. The largest sector has the greatest central angle and represents the largest share. Select its category label.
Question 4out of 10
A school wants to learn the opinion of all its students about the cafeteria. Which sampling method would be most representative?
The sample should represent the whole school. Randomly selecting students from every class includes different groups and reduces domination by a single group. One team or one class does not represent all students.
Question 5out of 10
A sector of a pie chart has angle 72°. What percentage of all data does it represent?
Divide the sector angle by 360° and multiply by 100: percentage = angle ÷ 360 × 100. For example, 180° represents 50%.
Question 6out of 10
Out of 40 respondents, 12 chose answer B. What percentage is this?
Divide the number choosing B by the total respondents and multiply by 100. This expresses the part-to-whole ratio as a percentage.
Question 7out of 10
Sections A, B and C of a pie chart represent 30%, 25% and 20%, respectively. What percentage is the remaining section D?
All pie-chart shares total 100%. Add the A, B and C percentages, then subtract their sum from 100: D = 100 − A − B − C.
Question 8out of 10
A sector of a pie chart has angle 36°. What percentage of all data does it represent?
Divide the sector angle by 360° and multiply by 100: percentage = angle ÷ 360 × 100. For example, 180° represents 50%.
Question 9out of 10
A researcher selects people from a numbered list at regular intervals of 5 entries. What is this sampling method called?
Selecting every nth list member is systematic sampling. The selection interval is fixed; a properly designed sample uses a randomly chosen starting member.
Question 10out of 10
A researcher selects people from a numbered list at regular intervals of 9 entries. What is this sampling method called?
Selecting every nth list member is systematic sampling. The selection interval is fixed; a properly designed sample uses a randomly chosen starting member.
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Sample questions
- A category represents ___% of a pie chart. What is the angle of its sector?
- A sector of a pie chart has angle ___°. What percentage of all data does it represent?
- A survey included ___ students. In the pie chart, ___% chose answer A. How many students chose A?
- Out of ___ respondents, ___ chose answer B. What percentage is this?
- Which category has the largest share in the pie chart?___
Pie charts and samples
A complete pie chart represents 360° and 100%. Find a sector angle by multiplying the percentage by 360°/100; find a percentage by dividing the sector angle by 360° and multiplying by 100.
Reliable samples
A sample should represent the complete population. A convenient, very small or single-group sample may be biased. Percentages of all sectors in a pie chart must total 100%.
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