| Date | May 2010 | Marks available | 2 | Reference code | 10M.1.sl.TZ2.5 |
| Level | SL only | Paper | 1 | Time zone | TZ2 |
| Command term | Find | Question number | 5 | Adapted from | N/A |
Question
The mean of the ten numbers listed below is 6.8.
8, 5, 5, 10, 8, 4, 9, 7, p, q
Write down an equation in terms of p and q.
The mode of these ten numbers is five and p is less than q.
Write down the value of p.
The mode of these ten numbers is five and p is less than q.
Write down the value of q.
Find the median of the ten numbers.
Markscheme
\(\frac{{8 + 5 + 5 + 10 + 8 + 4 + 9 + 7 + p + q}}{{10}} = 6.8\) or equivalent (M1)(A1) (C2)
Note: Award (M1) for correct substituted mean formula, (A1) for correct substitution.
[2 marks]
p = 5 (A1)(ft)
[1 mark]
q = 7 (A1)(ft) (C2)
Note: Follow through from their answers to parts (a) and (b) (i).
[1 mark]
7 (M1)(A1)(ft) (C2)
Notes: Award (M1) for an attempt to order their numbers.
Follow through from their answers to parts (b)(i) and (ii).
[2 marks]
Examiners report
A large number of candidates gained full marks on this question. Many correct variations of the equation were given and the values of p, q and the median could then be found. Some candidates neglected the extra information of p less than q and lost a mark for having these values the wrong way around. Follow through marks could be awarded for the median, if working was shown, with incorrect values of p and q. It was pleasing to see that most candidates realised that a list had to be ordered, before finding the middle value.
A large number of candidates gained full marks on this question. Many correct variations of the equation were given and the values of p, q and the median could then be found. Some candidates neglected the extra information of p less than q and lost a mark for having these values the wrong way around. Follow through marks could be awarded for the median, if working was shown, with incorrect values of p and q. It was pleasing to see that most candidates realised that a list had to be ordered, before finding the middle value.
A large number of candidates gained full marks on this question. Many correct variations of the equation were given and the values of p, q and the median could then be found. Some candidates neglected the extra information of p less than q and lost a mark for having these values the wrong way around. Follow through marks could be awarded for the median, if working was shown, with incorrect values of p and q. It was pleasing to see that most candidates realised that a list had to be ordered, before finding the middle value.
A large number of candidates gained full marks on this question. Many correct variations of the equation were given and the values of p, q and the median could then be found. Some candidates neglected the extra information of p less than q and lost a mark for having these values the wrong way around. Follow through marks could be awarded for the median, if working was shown, with incorrect values of p and q. It was pleasing to see that most candidates realised that a list had to be ordered, before finding the middle value.
