There are 4 rowers in a boat. The mode and median of their shoe sizes are both 11. The range of their shoe sizes is 4. One of the rowers has size 13 shoes.
What is the shoe size of each rower? [2]
(b)
A rowing club uses a bar chart to record the number of teams of rowers they have for each type of boat.
(i) How many teams does the rowing club have in total? [1]
(ii)
Rona is a junior rower at the club.
What is the probability that Rona rows in a junior 8-seater boat? [1]
Mark scheme (a)
Scheme
Marks
Comments
9, 11, 11, 13
B2
B1 for sight of 9 or for …., 11, 11, 13
Mark scheme (b)
Scheme
Marks
Comments
(i) 18
B1
(ii) 0
B1
Accept ‘zero’ or equivalent, do not accept ‘impossible’ or ‘none’ or equivalent. Allow \(\dfrac{0}{18}\) (teams) or \(\dfrac{0}{3}\) (8-seater boats) or \(\dfrac{0}{4}\) (junior teams)
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