| Date | May 2017 | Marks available | 2 | Reference code | 17M.1.sl.TZ1.1 |
| Level | SL only | Paper | 1 | Time zone | TZ1 |
| Command term | Calculate | Question number | 1 | Adapted from | N/A |
Question
The lengths of trout in a fisherman’s catch were recorded over one month, and are represented in the following histogram.
Complete the following table.
State whether length of trout is a continuous or discrete variable.
Write down the modal class.
Any trout with length 40 cm or less is returned to the lake.
Calculate the percentage of the fisherman’s catch that is returned to the lake.
Markscheme
(A2) (C2)
Note: Award (A2) for all correct entries, (A1) for 3 correct entries.
[2 marks]
continuous (A1) (C1)
[1 mark]
\({\text{60 (cm)}} < {\text{trout length}} \leqslant {\text{70 (cm)}}\) (A1) (C1)
Note: Accept equivalent notation such as \((60,{\text{ }}70]\) or \(]60,{\text{ }}70]\).
Award (A0) for “60-70” (incorrect notation).
[1 mark]
\(\frac{4}{{22}} \times 100\) (M1)
Note: Award (M1) for their 4 divided by their 22.
\( = 18.2{\text{ }}(18.1818 \ldots )\) (A1)(ft) (C2)
Note: Follow through from their part (a). Do not accept 0.181818….
[2 marks]
