4400 Higher November 2005 Paper 3 Q4
4 The table shows information about the number of bananas the students in class 1B ate in one week.
| Number of bananas | Frequency |
|---|---|
| 0 | 1 |
| 1 | 6 |
| 2 | 5 |
| 3 | 2 |
| 4 | 7 |
| 5 | 4 |
(a) Find the mean number of bananas. (3)
There are 575 students in the school.
The numbers of bananas eaten by students in class 1B are typical of the numbers eaten by students in the whole school.
(b) Work out an estimate for the number of students in the whole school who will eat exactly one banana next week. (3)
| Scheme | Marks |
|---|---|
| (0×1) + (1×6) + (2×5) + (3×2) + (4×7) + (5×4) OR 6 + 10 + 6 + 28 + 20 | M1 |
| 70/25 | M1 |
| 2.8 | A1 |
| (3) |
Notes
M1: for no. bananas × frequency
M1: (dep on 1st M1) for sum and ÷ 25
| Scheme | Marks |
|---|---|
| 6/25 × 575 | B1 M1 |
| 138 | A1 |
| (3) | |
| (6 marks) |
Notes
B1: for 6/25 seen
M1: for 6/25 × 575