4MA0 Foundation June 2015 Paper 2R Q4
4 Ben throws a dice 20 times.
He records the score for each throw.
Here are his scores.
| 4 | 1 | 2 | 2 | 5 | 1 | 6 | 2 | 3 | 4 |
| 2 | 5 | 4 | 5 | 1 | 6 | 1 | 3 | 2 | 6 |
(a) Complete the frequency table for his scores.
(2)
| Score | Tally | Frequency |
|---|---|---|
| 1 | ||
| 2 | ||
| 3 | ||
| 4 | ||
| 5 | ||
| 6 |
(b) Write down the mode of his scores. (1)
(c) Find the range of his scores. (1)
Ben throws the dice again.
(d) Draw a circle around the word in the box that best describes the likelihood that his score will be 6
(1)
| Impossible | Unlikely | Likely | Certain |
| Scheme | Marks |
|---|---|
| Attempt to show tallies (correct for at least one of the scores). | M1 |
| 4, 5, 2, 3, 3, 3 | A1 |
| (2) |
Notes
M1: Accept any correct frequency.
| Scheme | Marks |
|---|---|
| 2 | B1 |
| (1) |
Notes
B1: ft their table dep on M1 in (a) and a single mode.
| Scheme | Marks |
|---|---|
| 5 | B1 |
| (1) |
| Scheme | Marks |
|---|---|
| Unlikely | B1 |
| (1) | |
| Total 5 marks |