GCSE Mathematics (9-1)

24.2 Tables, bar charts, pie charts and pictograms — Practise

  1. A table has frequencies 7, 11 and 6. Find the total.
  2. A class records these favourite fruits: 5 choose apples, 8 choose bananas and 3 choose pears. Name a suitable chart to compare the categories and work out the total responses.
  3. A category has frequency 15 in a total of 60. Find its pie-chart angle.
  4. One pictogram symbol represents 5 votes. How many votes do 6 symbols represent?
  5. A group of 20 out of 80 choose walking. Find the sector angle.
  6. The ungrouped discrete data are 2, 5, 5, 7. Name a suitable chart and find the median.
  7. Each symbol represents 4 pupils. What does 2.5 symbols represent?
  8. A bar chart shows 12 votes for red and 8 for blue. How many more chose red?
  9. Frequencies are 9, 6 and 5. Find the pie angle for frequency 6.
Answers and concise solutions

1. A table has frequencies 7, 11 and 6. Find the total.

Answer: Total =24=24.

2. A class records these favourite fruits: 5 choose apples, 8 choose bananas and 3 choose pears. Name a suitable chart to compare the categories and work out the total responses.

Answer: A bar chart compares the separate categories. The total is 5+8+3=165+8+3=16 responses.

3. A category has frequency 15 in a total of 60. Find its pie-chart angle.

Answer: 90∘90^\circ.

4. One pictogram symbol represents 5 votes. How many votes do 6 symbols represent?

Answer: 30 votes.

5. A group of 20 out of 80 choose walking. Find the sector angle.

Answer: 90∘90^\circ.

6. The ungrouped discrete data are 2, 5, 5, 7. Name a suitable chart and find the median.

Answer: A vertical line chart is suitable for ungrouped discrete numerical data. The median is 55.

7. Each symbol represents 4 pupils. What does 2.5 symbols represent?

Answer: 10 pupils.

8. A bar chart shows 12 votes for red and 8 for blue. How many more chose red?

Answer: 4 more chose red.

9. Frequencies are 9, 6 and 5. Find the pie angle for frequency 6.

Answer: 108∘108^\circ.

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