Numeracy Higher November 2016 Unit 1 Q6
6. The following box-and-whisker plots illustrate the daily rainfall for April 2016 in Trefwen and in Nawrby.
(a)
Complete the following table. [4]
| Range | Median | Interquartile range | |
|---|---|---|---|
| Trefwen | …………… mm | …………… mm | …………… mm |
| Nawrby | …………… mm | …………… mm | …………… mm |
(b)
Iona is going on holiday next April.
She is hoping for good weather, with hardly any rain.
She decides to go to Nawrby.
Give a reason to support Iona’s decision.
Include values for both Trefwen and Nawrby. [1]
| Scheme | Marks | Comments | ||||||||||||
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
| B4 | B3 for any 5 correct entries, OR B2 for any 3 or 4 correct entries, OR B1 for any 1 or 2 correct entries |
| Scheme | Marks | Comments |
|---|---|---|
| Reason, e.g. based on comparisons of median (with the median rainfall for Nawrby being (slightly) lower), OR little rain as lower whisker 1mm compared with Trefwen at 5mm, OR Reason based on comparison of lower quartile | E1 | Values are required within a reason statement, however accept if reference is to values in (a) without restatement, e.g ‘the median for Nawrby is less than the median for Trefwen’ Accept ‘because on average there is less mm of rainfall in Nawrby than Trefwen’ (as the median is the only average in (a)) FT provided ‘their median for Nawrby’ < ‘their median for Trefwen’ provided one of the medians is correct Ignore other averages and the range, provided the median is mentioned, unless mention of comparisons of lower quartiles |