4024/11 May/Jun 2022, Question 7: Averages from Frequency Tables
Cambridge O Level Mathematics 4024 · Paper 11 (Non-calculator) · Non-calculator · 3 marks
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The question, in short
A table gives the number of pets owned by 20 students with frequencies for 0 to 5 pets; find the median and calculate the mean.
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Part (a) · 1 mark
Find the median number of pets from the frequency table.
- 1Median = mean of 10th and 11th values
- 2Cumulative: 3, 11, … so both are 1
- 3Median = 1
Answer1
Part (b) · 2 marks
Calculate the mean number of pets from the frequency table.
- 10 × 3 + 1 × 8 + 2 × 3 + 3 × 4 + 4 × 0 + 5 × 2 = 36
- 2Mean = 36 ÷ 20 = 1.8
Answer1.8
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