Foundation November 2019 Paper 2 Q24
24 Each person in a fitness club is going to get a free gift.
Stan is going to order the gifts.
Stan takes a sample of 50 people in the fitness club.
He asks each person to tell him the gift they would like.
The table shows information about his results.
| Gift | Number of people |
|---|---|
| sports bag | 17 |
| gym towel | 7 |
| headphones | 11 |
| voucher | 15 |
There are 700 people in the fitness club.
(i) Work out how many sports bags Stan should order. (2)
(ii) Write down any assumption you made and explain how this could affect your answer. (1)
| Answer | Mark | Mark scheme |
|---|---|---|
| 238 | P1 | for working with proportion eg \(\dfrac{17}{50} \times 700\) oe |
| A1 | cao |
| Answer | Mark | Mark scheme |
|---|---|---|
| statement | C1 | for statement Acceptable Sample is representative (otherwise answer wrong) Random sample (otherwise answer will be different) The 50 people are from the 700 (otherwise not accurate) 17 out of every 50 want a sports bag (otherwise answer will be different / wrong) There is no bias That the other 650 will want the same gifts as the 50 Not acceptable There would be more than 17 people who want the sports bag I rounded my answer 17 out of 50 want a sports bag A repeat of the calculation done in (i) Most of the people would want a sports bag References as what might change in the future (eg a change in membership) That all 700 people wanted a type of gift rather than no gift (otherwise would have changed my answer) |