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George is the manager of a shoe shop - OCR - GCSE Maths - Question 9 - 2017 - Paper 1

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George is the manager of a shoe shop. He samples 50 of his customers and asks them about the one style of shoe they would buy next. The table shows his results. ... show full transcript

Worked Solution & Example Answer:George is the manager of a shoe shop - OCR - GCSE Maths - Question 9 - 2017 - Paper 1

Step 1

How many pairs of sandals should he buy?

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Answer

To determine the number of pairs of sandals that George should buy, we first calculate the proportion of customers who chose sandals based on the survey.

  1. Calculate the total number of customers surveyed:

    • Total = 50.
  2. Find the number of customers that selected sandals:

    • Number of customers who chose sandals = 8.
  3. Calculate the proportion of sandals in the sample:

    • Proportion of sandals = 850\frac{8}{50}.
  4. Calculate the number of pairs of sandals to purchase:

    • Number of pairs of sandals = Proportion of sandals * Total pairs purchased = 850×1000=160\frac{8}{50} \times 1000 = 160.

Therefore, George should buy 160 pairs of sandals.

Assumption

  • We assume that the sample of 50 customers is representative of the entire customer base, meaning the preferences shown in this sample reflect those of all customers.

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