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Date May 2017 Marks available 1 Reference code 17M.2.sl.TZ1.1
Level SL only Paper 2 Time zone TZ1
Command term Write down 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

\({\text{mode}} = 10\)     A1     N1

[1 mark]

a.i.

valid approach     (M1)

eg\(\,\,\,\,\,\)\({x_{\max }} - {x_{\min }}\), 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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