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Date May 2019 Marks available 1 Reference code 19M.2.AHL.TZ1.H_3
Level Additional Higher Level Paper Paper 2 Time zone Time zone 1
Command term Write down Question number H_3 Adapted from N/A

Question

The marks achieved by eight students in a class test are given in the following list.

The teacher increases all the marks by 2. Write down the new value for

Find the mean.

[1]
a.i.

Find the standard deviation.

[1]
a.ii.

the mean.

[1]
b.i.

the standard deviation.

[1]
b.ii.

A ninth student also takes the test.

Explain why the median is unchanged.

[3]
c.

Markscheme

6.75      A1

[1 mark]

a.i.

2.22      A1

[1 mark]

a.ii.

8.75      A1

[1 mark]

b.i.

2.22      A1

[1 mark]

b.ii.

the order is 3, 4, 6, 7, 7, 8, 9, 10

median is currently 7        A1

Note: This can be indicated by a diagram/list, rather than actually stated.

with 9 numbers the middle value (median) will be the 5th value       R1

which will correspond to 7 regardless of whether the position of the median moves up or down       R1

Note: Accept answers using data 5, 6, 8, 9, 9, 10, 11, 12 (ie from part (b)).

[3 marks]

c.

Examiners report

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

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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