6 16 people were asked to name their favourite fruit juice.
Here are the results.
Favourite juice
Frequency
Apple
6
Grapefruit
1
Orange
4
Mango
5
(a) One of the people was picked at random.
Work out the probability that their favourite juice was orange or mango. [1 mark]
(b) On the grid, draw a bar chart to represent the results. [3 marks]
Mark scheme (a)
Answer
Mark
Comments
\(\dfrac{9}{16}\)
B1
oe fraction, decimal or percentage eg 0.5625 or 56.25%
Additional guidance
Ignore incorrect simplification or conversion of a correct probability to a fraction, decimal or percentage but not a ratio
eg1 \(\dfrac{9}{16}\) 0.55
B1
eg2 \(\dfrac{9}{16}\) 9 : 16
B0
Ignore words alongside a correct probability
eg1 \(\dfrac{9}{16}\) unlikely
B1
eg2 9 out of 16 \(\dfrac{9}{16}\)
B1
Do not accept answer given in words or as a ratio eg 9 out of 16
B0
Mark scheme (b)
Answer
Mark
Comments
Linear scale starting at 0 and increasing in 1s or 2s on vertical axis Vertical axis labelled frequency or f or Number or How many Bars or horizontal axis labelled with four types of juice (accept A, G, O, M) Four bars with equal widths Equal gaps or no gaps between the four bars All four heights correct
B3
bar chart could be horizontal bars may be in any order B3 for all criteria met B2 for 4 or 5 criteria met B1 for 3 criteria met or a fully correct 2-bar or 3-bar chart
Additional guidance
Mark intention throughout
If axes and labels do not match the orientation of the bar chart then only criteria 4, 5 and 6 may be awarded
B1 max
All values not needed for axis scale. For example 0 can be implied, but spacing must be linear
Allow words after ‘Number’ on axis label, eg ‘Number chosen’ or ‘Number of people’
Condone a different gap between the vertical axis and the first bar to the other, equal gaps
If no scale or a non-linear scale is given, bars with heights 6, 1, 4, 5 squares meet the height criterion
Allow heights criterion if their heights match their labels for their non-linear scale and it is linear between 1 and 6
Points only or vertical lines can score the marks for criteria 1, 2, 3 and 6
