Foundation November 2022 Paper 3 Q11
11 480 people are asked if they eat sushi.
20% say Yes.
\(\dfrac{2}{3}\) of the people who say Yes eat sushi at least once a month.
Complete the frequency tree. [4 marks]
| Answer | Mark | Comments |
|---|---|---|
| 96 in Eat sushi Yes | B1 | |
| 384 in Eat sushi No | B1ft | ft \(480 -\) their 96 if giving a value \(\gt 0\) |
| 64 in At least once a month Yes | B1ft | ft their \(96 \div 3 \times 2\) truncated to the nearest integer or rounded up to the nearest integer |
| 32 in At least once a month No | B1ft | ft their \(96 -\) their 64 if giving a value \(\gt 0\) or their \(96 \div 3\) truncated to the nearest integer or rounded up to the nearest integer |
Additional guidance
| Mark the four given diagram ovals only | |
| 240 240 160 80 | B0B1ft B1ftB1ft |
| Follow through values may be rounded up or down to whole numbers provided the total is correct eg 80 400 53 27 (53 is \(\tfrac{2}{3}\) of 80 rounded down) | B0B1ft B1ftB1ft |
| Follow through decimal values, withhold first B1, if applicable, at first use of decimal eg1 105.6 374.4 70.4 35.2 (105.6 is incorrect and first use of decimal) eg2 80 400 53.3 26.7 (53.3 is correct ft and first use of decimal) eg3 96 384 63.36 32.64 (63.36 is incorrect and first use of decimal) | B0B1ft B1ftB1ft B0B1ft B0ftB1ft B1B1 B0B1ft |
| Correct or ft relative frequencies shown out of 480 seen in appropriate places, withhold first B1 that would have been awarded eg1 \(\dfrac{96}{480} \;\; \dfrac{384}{480} \;\; \dfrac{64}{480} \;\; \dfrac{32}{480}\) eg2 \(\dfrac{45}{480} \;\; \dfrac{435}{480} \;\; \dfrac{30}{480} \;\; \dfrac{15}{480}\) eg3 \(\dfrac{90}{480} \;\; \dfrac{390}{480} \;\; \dfrac{30}{480} \;\; \dfrac{60}{480}\) | B0B1 B1B1 B0B0ft B1ftB1ft B0B0ft B0ftB1ft |