150 have a car 110 have a bicycle 65 of the people who have a bicycle do not have a car.
(a) Use this information to complete the frequency tree.(3)
(b) What percentage of the 150 people who have a car also have a bicycle? (2)
Mark scheme (a)
Answer
Mark
Mark scheme
Frequency tree
B3
for a fully correct frequency tree
(B2
for at least 4 figures correctly placed)
(B1
for at least 1 figure correctly placed)
Additional guidance
If probabilities used instead of frequencies award a maximum of B2
Answer
have a car 150
have a bicycle 45 do not have a bicycle 105
do not have a car 90
have a bicycle 65 do not have a bicycle 25
Mark scheme (b)
Answer
Mark
Mark scheme
30
M1
for eg \(\dfrac{45}{150}\) oe or \(45 \div 150\ (= 0.3)\) or for \(\dfrac{[\text{number of car owners who own a bicycle}]}{[\text{total number of people who own a car}]}\) ft diagram oe
A1
for 30 or ft diagram
Additional guidance
Must be values from their diagram with numerator < denominator
