Higher June 2018 Paper 1 Q4
4.
(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.
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.
(i) 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]
(ii) Alfie counts the money raised by the cake stall, raffle stall and refreshments stall.
He finds an estimate of the takings. To do this, he rounds the total from each stall down to the nearest pound and adds the 3 amounts together.
He finds an estimate of the takings. To do this, he rounds the total from each stall down to the nearest pound and adds the 3 amounts together.
Alfie’s estimate is £686.
Complete the following inequality to show the interval for the total raised by the three stalls. [1]
£686 \(\leqslant\) total \(\leqslant\) …………
| 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 |
|---|---|---|
| (i) \(\dfrac{1}{100}\) or equivalent | B2 | B1 for \(\dfrac{1}{10}\times\dfrac{1}{10}\) or equivalent |
| (ii) (£) 688.97 | B1 | |
| (4) |