1MA0 Foundation November 2014 Paper 2 Q10
10 Here is the number of goals scored by a football team in each of its first 10 games.
3 1 4 2 0 1 1 1 3 2
(a) Write down the mode. (1)
(b) Work out the mean number of goals for the first 10 games. (2)
In the 11th game the team scored 4 goals.
In the 12th game the team scored 2 goals.
(*c) Will the mean number of goals for the 12 games be greater than or less than the mean number of goals for the first 10 games?
You must explain your answer. (2)
You must explain your answer. (2)
| Answer | Mark | Notes |
|---|---|---|
| 1 | 1 | B1 cao |
| Answer | Mark | Notes |
|---|---|---|
| 1.8 | 2 | M1 for adding all 10 scores and dividing by 10 eg \(18 \div 10\) A1 cao |
| Answer | Mark | Notes |
|---|---|---|
| Greater and explanation | 2 | M1 (ft from (b)) adding all 12 scores and dividing by 12 or for comparing 4 and 2 with ‘1.8’ or comparing \(4 + 2\) with \(2 \times \text{‘}1.8\text{’}\) C1 (ft from (b)) for correct conclusion and correct explanation NB: if M1 A1 awarded in (b) comparison must be with 1.8 |