Foundation June 2018 Paper 1 Q24
24.
(a)
One Saturday, Alfie records the amount of money each customer spends in a charity shop.
He presents his data in a grouped frequency table, as shown below.
| Money spent (£) | Frequency |
|---|---|
| 0 to 20 | 62 |
| 20 to 40 | 8 |
| 40 and over | 1 |
State one criticism of the way Alfie has presented his data. [1]
(b)
The charity has a Fun Day to raise money.
Alfie is in charge of a game of chance.
- A fair spinner is marked with the numbers 1 to 10.
- A player spins once and wins £2 if the spinner lands on 6.
Liam plays the game exactly twice.
Work out the probability that Liam wins £4. [2]
| Scheme | Marks | Comments |
|---|---|---|
| Valid comment e.g. ‘The groups overlap so people who spent £20 may be in different groups.’ or ‘His groups are too big.’ or ‘You cannot tell which group 40 is in.’ | E1 | Do not allow comments such as ‘The ages in the groups are too big’ |
| Scheme | Marks | Comments |
|---|---|---|
| \(\dfrac{1}{100}\) or equivalent | B2 | B1 for \(\dfrac{1}{10} \times \dfrac{1}{10}\) or equivalent |
| (3) |