Numeracy Intermediate November 2018 Unit 1 Q8
8. Mrs Butler asked all her friends how many pairs of shoes they own.
Here are the results.
| Number of pairs of shoes | 1 to 6 | 7 to 12 | 13 to 18 |
| Number of people | 1 | 5 | 8 |
(a) Which is the modal group? [1]
(b) Mrs Butler says,
‘Most people in Wales own more than 12 pairs of shoes.’
Is Mrs Butler correct in using this data to come to this general conclusion?
You must give a reason for your answer. [1]
Yes ☐ No ☐
(c) Write down different groups Mrs Butler could have chosen so that all of the data can be analysed more accurately. [2]
| Scheme | Marks | Comments |
|---|---|---|
| 13 to 18 | B1 | Do not accept if ‘13 to 18’ and ‘8’ both given in response, allow ‘13 to 18’ with ‘(8)’ |
| Scheme | Marks | Comments |
|---|---|---|
| ‘No’ selected or unambiguously implied with a reason, e.g. ‘insufficient data’, ‘only asked 14 people’, ‘a biased group of friends’, ‘she only asked her friends’ ‘because she has not asked a random sample (of people in Wales).’ | E1 | Do not accept, e.g. ‘No’ with 'most people own less than 12 pairs of shoes', ‘she only asked 12 people’ ‘she has not asked which age group’, ‘because she could have asked a particular sex or age’ Allow, e.g. ‘only x people were asked’ where x = 13 or x = 15 only |
| Scheme | Marks | Comments |
|---|---|---|
Shows more than 3 groups between 1 and 18, which are:
| B2 | Allow if the final groups goes to beyond 18 pairs Do not count ‘none’ or ‘0’ as a group Groups do not need to be of equal width B1 for more than 3 groups between 1 and 18 meeting 1 of the 2 bullet point conditions Do not accept, e.g.
Ignore inclusion of number of people shown in their groups |