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Date May 2017 Marks available 2 Reference code 17M.2.sl.TZ1.1
Level SL only Paper 2 Time zone TZ1
Command term Find Question number 1 Adapted from N/A

Question

Consider the following frequency table.

M17/5/MATME/SP2/ENG/TZ1/01

Write down the mode.

[1]
a.i.

Find the value of the range.

[2]
a.ii.

Find the mean.

[2]
b.i.

Find the variance.

[2]
b.ii.

Markscheme

mode=10     A1     N1

[1 mark]

a.i.

valid approach     (M1)

egxmax, interval 2 to 11

{\text{range}} = 9          A1     N2

[2 marks]

a.ii.

7.14666

{\text{mean}} = 7.15     A2     N2

[2 marks]

b.i.

recognizing that variance is {({\text{sd}})^2}     (M1)

eg\,\,\,\,\,\operatorname{var}  = {\sigma ^2},{\text{ 2.9060}}{{\text{5}}^2},{\text{ }}{2.92562^2}

{\sigma ^2} = 8.44515

{\sigma ^2} = 8.45     A1     N2

[2 marks]

b.ii.

Examiners report

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

Syllabus sections

Topic 5 - Statistics and probability » 5.1
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