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Date November 2020 Marks available 1 Reference code 20N.1.SL.TZ0.T_7
Level Standard Level Paper Paper 1 (with calculator from previous syllabus) Time zone Time zone 0
Command term Write down Question number T_7 Adapted from N/A

Question

Anne-Marie planted four sunflowers in order of height, from shortest to tallest.

Flower C is 32cm tall.

The median height of the flowers is 24cm.

The range of the heights is 50cm. The height of Flower A is pcm and the height of Flower D is qcm.

The mean height of the flowers is 27cm.

Find the height of Flower null.

[2]
a.

Using this information, write down an equation in p and q.

[1]
b.

Write down a second equation in p and q.

[1]
c.

Using your answers to parts (b) and (c), find the height of Flower A.

[1]
d.i.

Using your answers to parts (b) and (c), find the height of Flower D.

[1]
d.ii.

Markscheme

* This question is from an exam for a previous syllabus, and may contain minor differences in marking or structure. It appeared in a paper that permitted the use of a calculator, and so might not be suitable for all forms of practice.

24-8  OR  24-32-24  OR  24=32+h2        (M1)


Note:
Award (M1) for subtracting 8 from the median, or equivalent.


16 cm       (A1)  (C2)


[2 marks]

a.

q-p=50  (or equivalent)      (A1)  (C1)


[1 mark]

b.

p+16+32+q4=27   OR   p+q=60  (or equvalent)      (A1)(ft)  (C1)


Note: Follow through from part (a).


[1 mark]

c.

5cm       (A1)(ft)  (C1)


Note: Follow through from parts (b) and (c).


[1 mark]

d.i.

55cm       (A1)(ft)  (C1)


Note: Follow through from parts (b) and (c).


[1 mark]

d.ii.

Examiners report

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

Syllabus sections

Topic 4—Statistics and probability » SL 4.3—Mean, median, mode. Mean of grouped data, standard deviation. Quartiles, IQR
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Topic 4—Statistics and probability

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