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4MA1/2FR Jan 2020, Question 2: Tally Charts and Frequency Tables

Pearson Edexcel International GCSE Mathematics A 4MA1 · Paper 2FR (Foundation) · Calculator · 4 marks

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The question, in short

From a list of 24 dice results, complete a frequency table, state the mode, and explain why the results might suggest the dice is biased.

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

Part (a) · 2 marks

Count how often each number 1 to 6 appears in the 24 results and fill in the tally and frequency columns.

  1. 1Count the number of 1s: 2
  2. 2Count the number of 2s: 3
  3. 3Count the number of 3s: 8
  4. 4Count the number of 4s: 4
  5. 5Count the number of 5s: 5
  6. 6Count the number of 6s: 2
  7. 7Record tallies accordingly
  8. 8Frequencies: 2, 3, 8, 4, 5, 2

AnswerFrequencies: 2, 3, 8, 4, 5, 2

Part (b) · 1 mark

Identify which number on the dice occurred most often among Egor's results.

  1. 1Identify the number with highest frequency from table
  2. 2Frequency of 3 is 8, which is the highest
  3. 3Mode is 3

Answer3

Part (c) · 1 mark

Give a reason, based on the frequencies, why the dice might not be fair.

  1. 1Compare frequencies to expected values
  2. 2Expected frequency for each number is 24 ÷ 6 = 4
  3. 31 and 6 appear only 2 times each, less than expected
  4. 43 appears 8 times, more than expected
  5. 5Sensible reason: Too many 3s or too few 1s/6s suggests bias

AnswerNot enough 1’s or 6’s

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