4MA1/2F Nov 2021, Question 19: 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
Using a grouped frequency table for 70 friends' spending in euros, find a probability for spending over 24 euros and estimate the mean spend to 2 decimal places.
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Part (a) · 1 mark
Find the probability that a randomly chosen friend spent more than 24 euros, using the table frequencies.
- 1More than 24 euros: 25 + 6 = 31 friends
- 2Probability = 31/70
Answer31/70
Part (b) · 4 marks
Estimate the mean amount spent using the grouped data, giving the answer correct to 2 decimal places.
- 1Midpoints: 4, 12, 20, 28, 36
- 2Midpoint × frequency: 24 + 168 + 380 + 700 + 216 = 1488
- 3Mean = 1488 ÷ 70 = 21.257…
- 4= 21.26 euros
Answer21.26
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