The bar chart shows the number of pupils absent from a small primary school on each day of one week.
(a)Write down the number of pupils absent on Thursday.(1)
(b)Write down the day on which the fewest pupils were absent.(1)
(c)Work out the total number of absences during the week.(2)
(Total for Question 1 is 4 marks)
2
The bar chart shows the number of books read by 5 friends during the summer holidays.
(a)Write down how many books Chen read.(1)
(b)Two of the friends read the same number of books as each other. Write down their names.(1)
(c)Work out how many more books Ellie read than Beth.(2)
(Total for Question 2 is 4 marks)
3
The dual bar chart shows the number of hours of sunshine recorded in Bristol and in Leeds each month from April to July.
(a)Write down the number of hours of sunshine recorded in Leeds in June.(1)
(b)Write down the month in which Bristol had the most hours of sunshine.(1)
(c)Work out the difference between Bristol's and Leeds' hours of sunshine in May.(2)
(d)Work out the total number of hours of sunshine recorded in Leeds over the four months.(2)
(Total for Question 3 is 6 marks)
4
40 customers were asked which type of milk they buy most often. The table shows the results.
Type of milk
Whole
Semi-skimmed
Skimmed
Plant-based
Frequency
9
16
6
9
On the grid, draw a bar chart to show this information.
(Total for Question 4 is 3 marks)
5
A researcher has collected data on the number of pupils in each of 6 tutor groups who Walk, Cycle, take the Bus, or are Driven to school. She wants to compare, in a single chart, both the total number of pupils in each tutor group and how each group is split between the four travel methods.
(a)State which type of chart would be most appropriate: a simple bar chart, a pie chart, or a composite (stacked) bar chart.(1)
(b)Give two reasons for your choice.(2)
(Total for Question 5 is 3 marks)
6
For each statement about bar charts, write down whether it is True or False.
(i)A composite (stacked) bar chart can show both the total for each category and how that total is split into parts, in a single bar.(1)
(ii)In a composite (stacked) bar chart, all the bars must be drawn to the same total height.(1)
(iii)A dual (comparative) bar chart, with two separate bars for each category, makes it easy to compare two data sets directly for each category.(1)
(Total for Question 6 is 3 marks)
7
A school recorded how many pupils attended after-school clubs, split into Sport, Music and Art. The composite bar chart shows the results for four year groups.
(a)Write down the number of Year 9 pupils who attended Art club.(1)
(b)Work out the total number of Year 8 pupils who attended a club.(2)
(c)Which year group had the greatest total attendance?(1)
(d)Work out how many more pupils attended Sport club in Year 9 than in Year 8.(2)
(Total for Question 7 is 6 marks)
8
Question 7 shows the after-school club data as a composite (stacked) bar chart.
(Total for Question 8 is 2 marks)
9
Question 7 shows the after-school club data as a composite (stacked) bar chart.
(Total for Question 9 is 2 marks)
10
A survey asked members of a gym how they usually travelled there, split into a Morning session and an Evening session. The composite bar chart shows Walk, Car and Public transport for each session, but the Public transport segment for the Morning session is missing.
(a)Given that 30 members used the gym in the Morning session in total, work out the number who used public transport in the Morning session.(3)
(b)Write down the number of members who used public transport in the Evening session.(1)
(c)Work out the total number of members who used public transport across both sessions combined.(1)
(Total for Question 10 is 5 marks)
11
The table shows the number of hot drinks and cold drinks sold at a cafe over three days.
Day
Monday
Tuesday
Wednesday
Hot drinks
18
22
15
Cold drinks
12
9
20
On the grid, draw a composite (stacked) bar chart to show this information. For each day, stack the cold drinks segment on top of the hot drinks segment.
(Total for Question 11 is 4 marks)
12
The composite bar chart shows the number of matches Won, Drawn and Lost by four football teams over a season, stacked in that order.
(a)Write down the number of matches drawn by Team Q.(1)
(b)Which team won the most matches?(1)
(c)Work out which team played the greatest total number of matches, and state that total.(2)
(d)Work out the total number of matches lost by all four teams combined.(2)
(Total for Question 12 is 6 marks)
13
A student wants to find out whether Year 10 and Year 11 pupils at her school spend their lunchtime differently, choosing between the Canteen, the Library, Outside, or a Classroom. She plans to survey a sample of pupils from each year group, then display her results as a composite (stacked) bar chart.
(a)The school has 90 Year 10 and 80 Year 11 pupils. State one suitable method the student could use to choose her sample, and give one reason to avoid bias when doing so.(2)
(b)Give one reason why a composite (stacked) bar chart is a suitable way to display this data.(1)
(c)Write down the number of Year 11 pupils who spend lunchtime in the Library.(1)
(d)Work out the total number of Year 10 pupils surveyed.(2)
(e)The student concludes: "Year 10 pupils are more likely to eat in the Canteen than Year 11 pupils." Use the chart to work out the proportion choosing the Canteen in each year group, and state whether her conclusion is supported.(3)
(Total for Question 13 is 9 marks)
14
The composite bar chart shows the number of Gold, Silver and Bronze medals won by three countries at an athletics competition.
(a)Write down the number of silver medals won by Country B.(1)
(b)Work out the percentage of Country C's medals that were gold.(3)
(c)Country A and Country B won the same total number of medals. If only gold medals counted, determine which of these two countries performed better, giving a reason.(2)
(Total for Question 14 is 6 marks)
15
The dual bar chart shows the average monthly rainfall, in mm, in Town X and Town Y for the first four months of the year.
(a)Work out the month in which Town Y had the greatest amount more rainfall than Town X.(2)
(b)A newspaper claims: "Town Y is wetter than Town X every month." Use the chart to show that this claim is not correct.(2)
(c)Work out the total rainfall in Town X over the four months.(2)
(Total for Question 15 is 6 marks)
16
A composite bar chart is being prepared from a survey of 200 adults about their preferred holiday type, split by age group. For the Under-40 age group, whose total was 150 adults, Beach holidays make up 40% of that group's total; the remaining Under-40 adults are split between City breaks and Countryside in the ratio 3:2.
(a)Work out the number of Under-40 adults who chose a Beach holiday.(2)
(b)The remaining Under-40 adults are split between City breaks and Countryside in the ratio 3:2. Work out how many chose each.(3)
(c)Of the 40-and-over age group (the remaining adults surveyed), 50 chose a Beach holiday. Work out what percentage of all 200 adults surveyed chose a Beach holiday in total.(3)
(Total for Question 16 is 8 marks)
Mark scheme · S19 Bar and Composite Bar Charts
Question 1
(a) B1 9 cao
(a) Answer: 9
(b) B1 Wednesday cao
(b) Answer: Wednesday
(c) M1 4 + 7 + 2 + 9 + 3, oe (adds all five frequencies)
(c) A1 25 cao
(c) Answer: 25
Question 2
(a) B1 4 cao
(a) Answer: 4
(b) B1 Amir and Dev cao
(b) Answer: Amir and Dev
(c) M1 11 - 9, oe
(c) A1 2 cao
(c) Answer: 2
Question 3
(a) B1 6 cao
(a) Answer: 6
(b) B1 July cao
(b) Answer: July
(c) M1 7 - 6, oe
(c) A1 1 cao
(c) Answer: 1
(d) M1 4 + 6 + 6 + 8, oe
(d) A1 24 cao
(d) Answer: 24
Question 4
B1 a suitable uniform scale chosen on the frequency axis, starting at 0
B1 all four bars drawn to the correct height: Whole 9, Semi-skimmed 16, Skimmed 6, Plant-based 9 (± half a small square)
B1 chart fully labelled, with both axes labelled and equal gaps left between bars
Answer: Bar chart with bars of height 9 (Whole), 16 (Semi-skimmed), 6 (Skimmed), 9 (Plant-based).
Question 5
(a) B1 a composite (stacked) bar chart cao
(a) Answer: A composite (stacked) bar chart
(b) B1 the height of each bar shows the total number of pupils in that tutor group, so totals can be compared directly across groups
(b) B1 each bar is split into segments, so the numbers travelling by each method can also be read and compared within a group, without needing six separate charts
(b) Answer: It shows each group's total (bar height) and its split by travel method (segments) together, avoiding six separate pie charts.
Question 6
(i) B1 True cao
(i) Answer: True
(ii) B1 False cao
(ii) Answer: False
(iii) B1 True cao
(iii) Answer: True
Question 7
(a) B1 5 cao
(a) Answer: 5
(b) M1 9 + 8 + 4, oe (sums the three stacked segments)
(b) A1 21 cao
(b) Answer: 21
(c) B1 Year 10 cao
(c) Answer: Year 10
(d) M1 14 - 9, oe
(d) A1 5 cao
(d) Answer: 5
Question 8
B1 identifies a genuine advantage, e.g. it shows each year group's total attendance (bar height) and its split across Sport/Music/Art (segments) in one chart
B1 links the advantage to this data, e.g. saves drawing four separate pie charts while still allowing totals to be compared across year groups
Answer: It displays each year group's overall total and the breakdown by activity together, so totals and composition can both be compared without four separate charts.
Question 9
B1 identifies a genuine disadvantage, e.g. only the bottom segment (Sport) sits on the axis, so the exact values of the Music and Art segments are harder to read precisely
B1 development/consequence, e.g. this makes it harder to compare the Music totals, or the Art totals, directly across year groups since they do not share a common baseline
Answer: Only the bottom segment starts from zero, so the middle and top segments (Music, Art) are harder to read and compare precisely across bars, since they do not share a common baseline.
Question 10
(a) M1 10 + 14 (= 24), oe (adds the two known segments)
(a) dM1 30 - 24 (dependent on the first method mark)
(a) A1 6 cao
(a) Answer: 6
(b) B1 5 cao
(b) Answer: 5
(c) B1 11 ft, from 6 (a) + 5 (b)
(c) Answer: 11
Question 11
B1 a suitable uniform scale chosen on the frequency axis, starting at 0, reaching at least 35
B1 hot drinks segment drawn correctly from 0 for all three days: Monday 18, Tuesday 22, Wednesday 15
B1 cold drinks segment stacked correctly on top, giving totals of Monday 30, Tuesday 31, Wednesday 35
B1 chart fully labelled, with both axes labelled and a key/legend distinguishing hot and cold drinks
(c) M1 totals compared: 30, 30, 32, 33 for Teams P-S
(c) A1 Team S, 33 matches cao
(c) Answer: Team S, 33 matches
(d) M1 7 + 8 + 9 + 11, oe
(d) A1 35 cao
(d) Answer: 35
Question 13
(a) B1 a valid sampling method, e.g. a random sample using pupil ID numbers, or a systematic sample from the school register
(a) B1 a valid reason to avoid bias, e.g. sample from both year groups in proportion to their size rather than only asking friends, so the sample represents the whole school
(a) Answer: Take a random sample (e.g. using pupil ID numbers) from each year group, in proportion to its size, rather than just asking friends, to avoid a biased sample.
(b) B1 it shows each year group's total surveyed (bar height) and how that total splits across the four locations (segments), together in one chart
(b) Answer: It shows each year group's total and its split across the four lunchtime locations in a single chart.
(c) B1 20 cao
(c) Answer: 20
(d) M1 40 + 15 + 25 + 10, oe
(d) A1 90 cao
(d) Answer: 90
(e) M1 Year 10 proportion: 40/90 (= 0.444..., awrt 44%)
(e) M1 Year 11 proportion: 30/80 (= 0.375, 37.5%)
(e) C1 correct conclusion consistent with the two proportions: yes, supported, since 44% > 37.5%
(e) Answer: Yes, supported: 40/90 is about 44% for Year 10, compared with 30/80 = 37.5% for Year 11.
Question 14
(a) B1 9 cao
(a) Answer: 9
(b) M1 12/20, oe
(b) M1 x100
(b) A1 60% cao
(b) Answer: 60%
(c) B1 Country A cao
(c) B1 correct reason: Country A won 8 gold medals compared with Country B's 5 gold medals, even though their totals (20 each) are equal
(c) Answer: Country A, because it won 8 gold medals compared with Country B's 5, despite both totals being 20.
Question 15
(a) M1 compares Town Y - Town X for each month: Jan 15, Feb 13, Mar -5, Apr -30
(a) A1 January cao
(a) Answer: January
(b) B1 identifies March or April as a counter-example
(b) B1 correct comparison given: e.g. in March Town X had 50mm and Town Y had only 45mm, so Town X was wetter that month
(b) Answer: In March, Town X (50mm) had more rainfall than Town Y (45mm), so the claim is false.
(c) M1 40 + 35 + 50 + 60, oe
(c) A1 185 cao
(c) Answer: 185mm
Question 16
(a) M1 40/100 x 150, oe
(a) A1 60 cao
(a) Answer: 60
(b) M1 150 - 60 (= 90), oe
(b) M1 90 / 5 (= 18), oe (finds one share)
(b) A1 City breaks 54, Countryside 36 cao
(b) Answer: City breaks 54, Countryside 36
(c) M1 60 + 50 (= 110), oe (total choosing Beach across both age groups)