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4024/22 May/Jun 2021, Question 4: Averages from Frequency Tables

Cambridge O Level Mathematics 4024 · Paper 22 (Calculator) · Calculator · 7 marks

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The question, in short

A survey of 100 adults records daily email counts in a frequency table; find the mode, mean, a probability, and estimate a town-wide count.

Summarised in our own words. Use the official paper for the exact wording and any diagrams.

Part (a) · 1 mark

Identify the number of emails with the highest frequency from the table.

  1. 1Highest frequency is 28 for 4 emails
  2. 2Mode = 4

Answer4

Part (b) · 2 marks

Calculate the mean number of emails using the frequencies and totals.

  1. 11 × 8 + 2 × 10 + 3 × 22 + 4 × 28 + 5 × 15 + 6 × 9 + 7 × 5 + 8 × 3 = 394
  2. 2Mean = 394 ÷ 100 = 3.94

Answer3.94 or 3 94/100 or 3 47/50

Part (c) · 2 marks

For a randomly chosen adult, find the simplified fraction probability of receiving fewer than 4 emails.

  1. 1Fewer than 4: 8 + 10 + 22 = 40
  2. 2P = 40/100 = 2/5

Answer2/5

Part (d) · 2 marks

Using 18 000 adults, estimate how many received exactly 5 emails.

  1. 115/100 × 18 000
  2. 2= 2700

Answer2700

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