George is the manager of a shoe shop - OCR - GCSE Maths - Question 20 - 2017 - Paper 1

To determine how many pairs of sandals George should buy, we first need to calculate the proportion of customers who favor sandals from the survey results.

Step 1: Calculate the proportion of sandals

From the table:

• Number of customers who prefer sandals = 8
• Total number of customers surveyed = 50

The proportion of customers who prefer sandals is calculated as:

$ext{Proportion of sandals} = \frac{8}{50}$

Step 2: Calculate the number of pairs of sandals

Since George plans to buy 1000 pairs of shoes, we can calculate the number of sandals to buy by multiplying the total number of shoes by the proportion of sandals:

$ext{Number of sandals} = 1000 \times \text{Proportion of sandals} = 1000 \times \frac{8}{50}$

Calculating this gives:

$ext{Number of sandals} = 1000 \times 0.16 = 160$

Step 3: Make an assumption about the sample

An assumption we can make about George's sample is that it is representative of the overall customer base. This means that the preferences reflected in the sample should be similar to the preferences of all customers in the store.