4MA1/2F Jan 2019, Question 16: Estimating the Mean for Grouped Data
Pearson Edexcel International GCSE Mathematics A 4MA1 · Paper 2F (Foundation) · Calculator · 5 marks
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The question, in short
From a grouped frequency table of birds counted by 40 people, identify the modal class and estimate the mean number of birds.
Summarised in our own words. Use the official paper for the exact wording and any diagrams.
Part (a) · 1 mark
State which class interval has the highest frequency.
- 1The modal class has the highest frequency
- 2The highest frequency is 16, so the modal class is 11 − 15
Answer11 − 15
Part (b) · 4 marks
Using class midpoints and frequencies, calculate an estimate of the mean number of birds.
- 1Midpoints: 3, 8, 13, 18
- 2Σfx = 3 × 5 + 8 × 10 + 13 × 16 + 18 × 9 = 15 + 80 + 208 + 162 = 465
- 3Mean = 465 ÷ 40 = 11.625
Answer11.625
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