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Date May 2017 Marks available 1 Reference code 17M.1.sl.TZ1.1
Level SL only Paper 1 Time zone TZ1
Command term State 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.

M17/5/MATSD/SP1/ENG/TZ1/01

Complete the following table.

M17/5/MATSD/SP1/ENG/TZ1/01

[2]
a.

State whether length of trout is a continuous or discrete variable.

[1]
b.

Write down the modal class.

[1]
c.

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.

[2]
d.

Markscheme

M17/5/MATSD/SP1/ENG/TZ1/01.a/M     (A2)     (C2)

 

Note:     Award (A2) for all correct entries, (A1) for 3 correct entries.

 

[2 marks]

a.

continuous     (A1)     (C1)

[1 mark]

b.

\({\text{60 (cm)}} < {\text{trout length}} \leqslant {\text{70 (cm)}}\)     (A1)     (C1)

 

Note:     Accept equivalent notation such as \((60,{\text{ }}70]\) or \(]60,{\text{ }}70]\).

Award (A0) for “60-70” (incorrect notation).

 

[1 mark]

c.

\(\frac{4}{{22}} \times 100\)     (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]

d.

Examiners report

[N/A]
a.
[N/A]
b.
[N/A]
c.
[N/A]
d.

Syllabus sections

Topic 2 - Descriptive statistics » 2.1

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