4024/23 May/Jun 2025, Question 16: Estimating the Mean for Grouped Data
Cambridge O Level Mathematics 4024 · Paper 23 (Calculator) · Calculator · 6 marks
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The question, in short
Use the grouped frequency table for 80 gym members' ages to estimate the mean age and find the percentage of members older than 24 years.
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Part (a) · 4 marks
Calculate an estimate of the mean age from the grouped frequency table with 80 members.
- 1Midpoints: 17, 21, 32, 70
- 2Σfx = 5 × 17 + 31 × 21 + 19 × 32 + 25 × 70
- 3= 85 + 651 + 608 + 1750 = 3094
- 4Mean = 3094 ÷ 80 = 38.675
Answer38.675
Part (b) · 2 marks
Work out the percentage of gym members whose age is more than 24 years.
- 1More than 24: 19 + 25 = 44
- 244/80 × 100 = 55%
Answer55
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