| Date | November 2013 | Marks available | 4 | Reference code | 13N.1.sl.TZ0.1 |
| Level | SL only | Paper | 1 | Time zone | TZ0 |
| Command term | Find | Question number | 1 | Adapted from | N/A |
Question
A survey was carried out on a road to determine the number of passengers in each car (excluding the driver). The table shows the results of the survey.
State whether the data is discrete or continuous.
Write down the mode.
Use your graphic display calculator to find
(i) the mean number of passengers per car;
(ii) the median number of passengers per car;
(iii) the standard deviation.
Markscheme
discrete (A1) (C1)
[1 mark]
[1 mark]
(i) \(1.47\) \((1.46666...)\) (A2)
Note: Award (M1) for \(\frac{{176}}{{120}}\) seen.
Accept \(1\) or \(2\) as a final answer if \(1.4666…\) or \(1.47\) seen.
(ii) \(1.5\) (A1)
(iii) \(1.25\) \((1.25122...)\) (A1) (C4)
[4 marks]
Examiners report
Most candidates could state whether the data was discrete or continuous and find the mode however the calculations to find the mean, median and standard deviation appeared problematic for some candidates. A significant number of candidates gave the mode as 37 rather than 0. Many did not appear to use their graph and some obtained the incorrect value of 1.47 from their graphic display calculator.
Most candidates could state whether the data was discrete or continuous and find the mode however the calculations to find the mean, median and standard deviation appeared problematic for some candidates. A significant number of candidates gave the mode as 37 rather than 0. Many did not appear to use their graph and some obtained the incorrect value of 1.47 from their graphic display calculator.
Most candidates could state whether the data was discrete or continuous and find the mode however the calculations to find the mean, median and standard deviation appeared problematic for some candidates. A significant number of candidates gave the mode as 37 rather than 0. Many did not appear to use their graph and some obtained the incorrect value of 1.47 from their graphic display calculator.
