Foundation June 2023 Paper 1 Q14
14 Here is some data about people visiting a gym one week.
| Percentage of all visitors | Mean number of hours visiting | Range of number of hours visiting | |
|---|---|---|---|
| Members | 64 | 4 | 6 |
| Guests | 36 | \(2\dfrac{1}{2}\) | 8 |
Compare the data for the members with the data for the guests.
Make three comparisons. [3 marks]
| Answer | Mark | Comments |
|---|---|---|
| Valid statement about proportion | B1 | eg there were more members than guests |
| Valid statement about average | B1 | eg the average number of hours was greater for the members |
| Valid statement about spread | B1 | eg the visiting times of the guests were more spread out |
Additional guidance
| Condone irrelevant statements with correct statements but do not award a correct statement with a contradictory statement | |
| Accept non-members for guests | |
| Proportion statements | |
| There were more members | B1 |
| They were mostly members / More than half were members | B1 |
| There were 28% more members than guests | B1 |
| Fewer guests (than members) | B1 |
| The members were 64%, the guests were (only) 36% | B1 |
| The members were 64, the guests were (only) 36 | B0 |
| The difference is 28% | B0 |
| There were 32% more members (calculation error) | B0 |
| Members visit the gym more often | B0 |
| There were 64% members | B0 |
| Average statements | |
| The members had a greater mean | B1 |
| The members visited for 1.5 (hours) more (on average) | B1 |
| The members visited for longer (on average) (than the guests) | B1 |
| Overall the members spent longer (in the gym) (on average) | B1 |
| The members’ mean was 4 (hours) and the guests’ was 2.5 (hours) | B1 |
| The members’ was 4 and the guests’ was 2.5 (no mention of average) | B0 |
| The difference in mean hours is 1.5 | B0 |
| Spread statements | |
| The members’ times were more consistent | B1 |
| The guests’ times varied more | B1 |
| The guests had a greater range | B1 |
| The range of the guests was 2 (hours) more | B1 |
| Members’ range was 6 (hours), guests’ (range) was 8 (hours) | B1 |
| Members were 6, guests were 8 (ambiguous) | B0 |
| Members visited for 6 hours, guests for 8 hours (referencing mean) | B0 |
| The difference in range is 2 hours | B0 |
| The range of the guests is high | B0 |