| 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.
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.
