17M.2.SL.TZ1.S_1

pestleMathematicsAASLPaper 217M· sl-4-1-concepts-reliability-and-sampling-techniquessource ↗

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 / solution

${\text{mode}} = 10$ 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.