| Date | May 2011 | Marks available | 2 | Reference code | 11M.1.sl.TZ2.6 |
| Level | SL only | Paper | 1 | Time zone | TZ2 |
| Command term | Find | Question number | 6 | Adapted from | N/A |
Question
\(80\) matches were played in a football tournament. The following table shows the number of goals scored in all matches.
Find the mean number of goals scored per match.
Find the median number of goals scored per match.
A local newspaper claims that the mean number of goals scored per match is two. Calculate the percentage error in the local newspaper’s claim.
Markscheme
\(\frac{{0 \times 16 + 1 \times 22 + 2 \times 19 \ldots }}{{80}}\) (M1)
Note: Award (M1) for substituting correct values into mean formula.
1.75 (A1) (C2)
[2 marks]
An attempt to enumerate the number of goals scored. (M1)
\(2\) (A1) (C2)
[2 marks]
\(\frac{{2 - 1.75}}{{1.75}} \times 100\) (M1)
\(14.3 \% \) (A1)(ft) (C2)
Notes: Award (M1) for correctly substituted \(\% \) error formula. \(\% \) sign not required. Follow through from their answer to part (a). If \(100\) is missing and answer incorrect award (M0)(A0). If \(100\) is missing and answer incorrectly rounded award (M1)(A1)(ft)(AP).
[2 marks]
Examiners report
In parts (a) and (b), \(2.5\) was a common incorrect error for both parts as some candidates were confused as to the concept of both the mean and the median from tabular data and simply looked at the mean and median of the Number of goals, ignoring the weighting of the number of matches. Candidates faired a little better with part (c) and many correct answers (many as follow through answers) were seen in this part of the question.
In parts (a) and (b), \(2.5\) was a common incorrect error for both parts as some candidates were confused as to the concept of both the mean and the median from tabular data and simply looked at the mean and median of the Number of goals, ignoring the weighting of the number of matches. Candidates faired a little better with part (c) and many correct answers (many as follow through answers) were seen in this part of the question.
In parts (a) and (b), \(2.5\) was a common incorrect error for both parts as some candidates were confused as to the concept of both the mean and the median from tabular data and simply looked at the mean and median of the Number of goals, ignoring the weighting of the number of matches. Candidates faired a little better with part (c) and many correct answers (many as follow through answers) were seen in this part of the question.
