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O-LevelMathematicsStatistics4024/22 · May/June 2021 · Q47 Marks

100 adults in a town were surveyed about the number of emails they each received one day. The table shows the results. Number of emails 1 2 3 4 5 6 7 8 Number of adults 8 10 22 28 15 9 5 3

  1. (a)Find the mode.[1]
  2. (b)Calculate the mean.[2]
  3. (c)One of these adults is chosen at random. Find the probability that they received fewer than 4 emails that day. Give your answer as a fraction in its simplest form.[2]
  4. (d)The town has 18000 adults. Use the survey results to estimate the number of adults in the town who received exactly 5 emails that day.[2]

Mark scheme

Marking points from the official mark scheme (May/June 2021). The mark or mark type is shown in brackets.

  1. [1] (a) 4
  2. [2] (b) 3.94 or 3 94/100 or 3 47/50 M1 for (1x8+2x10+3x22+4x28+5x15+6x9+7x5+8x3)/100
  3. [2] (c) 2/5 cao B1 for (8+10+22)/100 oe After 0 scored, SC1 for answer 17/25
  4. [2] (d) 2700 M1 for 15/100 [× 18 000] oe

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About this question

Topic
Statistics, O-Level Mathematics (syllabus 4024). Structured question, 7 marks.
Source
O-Level Mathematics, May/June 2021 Paper 2 Variant 2, question 4.

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