Higher November 2019 Paper 3 Q13
13 Naga states a hypothesis.
“Most people read more than 100 books a year.”
She asks a sample of five people in a book club how many books they read last month.
The table shows the results.
| Lynn | Ali | Paul | Chen | Ruth | |
|---|---|---|---|---|---|
| Number of books | 10 | 11 | 8 | 10 | 13 |
(a) Show how Naga could use the data to support her hypothesis. [2 marks]
(b) Give two reasons why this sample should not be used to support her hypothesis. [2 marks]
| Answer | Mark | Comments |
|---|---|---|
| 120 and 132 and 96 and 156 and states that 4 out of 5 would be above 100 or 8.3… and states that 4 out of 5 would be above 100 or \(10.4 \times 12 = 124.8\) and states this is above 100 or the hypothesis is correct or median or mode = 10 and \(10 \times 12 = 120\) and states that median or mode is above 100 or \(52 \times 12\) (= 624) and \(5 \times 100\) (= 500) and states \(624 > 500\) | B2 | B1 \(10 \times 12\) or 120 and \(11 \times 12\) or 132 and \(8 \times 12\) or 96 and \(13 \times 12\) or 156 or \(100 \div 12\) or 8.3… or states that 4 out of 5 would be above 100 with no or incorrect evaluations or \(10.4 \times 12 = 124.8\) or median or mode = 10 and \(10 \times 12 = 120\) or \(52 \times 12\) (= 624) and \(5 \times 100\) (= 500) |
Additional guidance
| ‘4 out of 5’ is implied by ‘most people’ | |
| \((10 + 11 + 8 + 10 + 13) \div 5 = 10.4\) | B0 |
| \(52 \times 12\) or 624 alone | B0 |
| Answer | Mark | Comments |
|---|---|---|
| Any two correct reasons from The sample is biased The sample is too small They may not read at the same rate in other months | B2 | oe eg people in book clubs read more books eg she should ask a lot more people eg that month may not be representative B1 any one correct reason |
Additional guidance
| Needs to use data from more months | B1 |
| The results of just 5 people used | B1 |