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4MA1/2F Jan 2020, Question 9: Averages from Frequency Tables

Pearson Edexcel International GCSE Mathematics A 4MA1 · Paper 2F (Foundation) · Calculator · 5 marks

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The question, in short

From a 25-pen packet with 7 green, 10 black and the rest red, find two probabilities for a random pen, then use a frequency table of packets bought by customers to find the mode and total packets sold.

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

Part (ai) · 1 mark

Work out the chance that a randomly chosen pen is black.

  1. 110 black pens out of 25 total pens
  2. 210 / 25

Answer10/25

Part (aii) · 1 mark

Work out the chance that a randomly chosen pen is red.

  1. 125 − 7 - 10 = 8 red pens
  2. 28 / 25

Answer8/25

Part (b) · 1 mark

State the most common number of packets bought by a customer.

  1. 1The frequency is highest for 2 packets
  2. 2Frequency: 1→14, 2→17, 3→15, 4→12, 5→9
  3. 317 is the largest frequency
  4. 4Mode is 2

Answer2

Part (c) · 2 marks

Calculate how many packets were sold in total, using the frequencies for 1 to 5 packets.

  1. 1Multiply packets by frequency: 14, 34, 45, 48, 45
  2. 2Add: 14 + 34 + 45 + 48 + 45
  3. 3Total packets = 186

Answer186

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