Higher November 2021 Paper 6 Q5
5 Ling throws a six-sided dice 300 times.
The table shows the frequencies of their results.
(a) Complete the table to show the relative frequencies.
| Number on dice | 1 | 2 | 3 | 4 | 5 | 6 |
|---|---|---|---|---|---|---|
| Frequency | 42 | 27 | 57 | 60 | 39 | 75 |
| Relative frequency | 0.19 |
[2]
(b) Ling thinks that the dice may be biased.
(i) Explain why evidence from the table could support their opinion. [1]
(ii) Explain why the dice may, in fact, not be biased. [1]
| Answer | Marks | Part marks and guidance | |
|---|---|---|---|
| 0.14, 0.09, (0.19), 0.2[0], 0.13, 0.25 | 2 | B1 for three or four correct relative frequencies in the correct place | Accept fractions |
| Answer | Marks | Part marks and guidance | |
|---|---|---|---|
| (i) [Unbiased dice] would have each [rf =] 0.16–0.17 or [Unbiased dice] would have each [f =] 50 or comment about very unequal [relative] frequencies and implied comparison | 1 | Accept “about 0.16” Accept “about 50” Not enough to say one number was rolled the most Must say 6 [and 4] or some numbers are much higher, or 2 or 5 or some numbers are much lower | |
| (ii) Need larger sample oe | 1 | ||