(a) A hotel manager asked some people to choose their favourite breakfast fruit juice. They each chose one from Orange, Apple or Grapefruit.
20 men chose Orange
Equal numbers of men chose Apple and Grapefruit.
10 women chose Orange
Twice as many women chose Apple as Grapefruit.
Use this information to complete the frequency tree.
[4]
(b) In one week 200 men have breakfast at the hotel.
(i) How many men may be expected to drink Orange? [1]
(ii) Give one reason why the number of men who drink Orange in this week may be different to your answer to part (b)(i). [1]
Mark scheme (a)
Answer
Marks
Part marks and guidance
[total] 90 [men] Apple 15, Grapefruit 15 [women] Apple 20, Grapefruit 10
4
B3 for 4 correct or B2 for 3 correct or B1 for 2 correct
If 0 scored SC1 for their apple = 2 \(\times\) their grapefruit
Mark scheme (b)
Answer
Marks
Part marks and guidance
(i) 80
1
(ii) Orange juice might have run out or 50 is a small sample oe [so may not be representative] These are different men so may make different choices oe Scaling may not produce the exact number
1
Any valid practical reason. Eg running out, (others) being promoted.
Any valid statistical reason Eg Choices may be in different proportion [in this group]. Expectation so may be different
Do not accept any suggestion that men may have changed their mind.
Mark the best part of the statement and ignore any non-contradictory parts
