Photo AI
George is the manager of a shoe shop - OCR - GCSE Maths - Question 20 - 2017 - Paper 1
Question 20
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. Sty... show full transcript
Worked Solution & Example Answer:George is the manager of a shoe shop - OCR - GCSE Maths - Question 20 - 2017 - Paper 1
Step 1
How many pairs of sandals should he buy?
Answer
To determine how many pairs of sandals George should buy, we calculate the proportion of customers who would choose sandals based on the survey results.
-
Calculate the proportion of customers who prefer sandals:
Number of customers who prefer sandals = 8 Total number of customers surveyed = 50
Proportion for sandals = ( \frac{8}{50} ) = 0.16
-
Calculate the number of sandals George should buy:
- Total shoes purchased = 1000
- Expected number of sandals = 0.16 * 1000 = 160
Therefore, George should buy 160 pairs of sandals.
- Write down any assumption you make about his sample: The assumption made here is that the sample of 50 customers is representative of the larger customer base. This means that the preferences of this sample can be generalized to all customers who visit the shop.