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4MA1/1F Jan 2022, Question 6: Tally Charts and Frequency Tables

Pearson Edexcel International GCSE Mathematics A 4MA1 · Paper 1F (Foundation) · Calculator · 6 marks

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The question, in short

Using a partly filled two-way table of 300 phone sales by type and storage, complete the table and find two probabilities from random selections.

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

Part (a) · 3 marks

Fill in all missing cell and total values in the two-way table using the given numbers and row/column totals.

  1. 1Type B total = 300 − 195 = 105
  2. 2Type B 32 GB = 127 − 75 = 52
  3. 3Type A 64 GB = 195 − 75 − 83 = 37
  4. 4Type B 128 GB = 105 − 52 − 29 = 24
  5. 5Total 64 GB = 37 + 29 = 66
  6. 6Total 128 GB = 83 + 24 = 107
  7. 7Check: 127 + 66 + 107 = 300

Answer32 GB, 64 GB, 128 GB, Total: type A 75, 37, 83, 195; type B 52, 29, 24, 105; Total 127, 66, 107, 300

Part (b) · 1 mark

State the probability that a randomly chosen customer bought a type B, 64 GB phone.

  1. 1Number of type B, 64 GB phones = 29
  2. 2Total customers = 300
  3. 3Probability = 29 / 300

Answer29/300

Part (c) · 2 marks

Given a customer bought a type A phone, state the probability they chose 128 GB.

  1. 1Total type A phones = 195
  2. 2Number of type A, 128 GB phones = 83
  3. 3Probability = 83 / 195

Answer83/195

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