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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 CC is 32cm32cm tall.

The median height of the flowers is 24cm24cm.

The range of the heights is 50cm50cm. The height of Flower AA is pcmpcm and the height of Flower DD is qcmqcm.

The mean height of the flowers is 27cm27cm.

Find the height of Flower null.

[2]
a.

Using this information, write down an equation in pp and qq.

[1]
b.

Write down a second equation in pp and qq.

[1]
c.

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

[1]
d.i.

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

[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.

24-8248  OR  24-(32-24)24(3224)  OR  24=32+h224=32+h2        (M1)


Note:
Award (M1) for subtracting 88 from the median, or equivalent.


16 (cm)16 (cm)       (A1)  (C2)


[2 marks]

a.

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


[1 mark]

b.

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


Note: Follow through from part (a).


[1 mark]

c.

5(cm)5(cm)       (A1)(ft)  (C1)


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


[1 mark]

d.i.

55(cm)55(cm)       (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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