The bar chart shows how 35 pupils travel to school.
(a)Write down the number of pupils who cycle to school.(1)
(b)Write down the mode of the method of travel.(1)
(c)Work out the total number of pupils shown on the bar chart.(2)
(Total for Question 1 is 4 marks)
2
The bar chart shows the number of goals scored by a football team in each of 5 matches.
(a)Write down the number of goals scored in Match 3.(1)
(b)Work out the total number of goals scored in all 5 matches.(2)
(Total for Question 2 is 3 marks)
3
The bar chart shows the number of each flavour of ice cream sold at a seaside cafe one afternoon.
(a)Which flavour of ice cream was the least popular?(1)
A) Vanilla
B) Chocolate
C) Strawberry
D) Mint
(b)How many more chocolate ice creams were sold than mint ice creams?(2)
(Total for Question 3 is 3 marks)
4
For each statement about bar charts, write down whether it is True or False.
(i)A bar chart can be used to display categorical (non-numerical) data, such as favourite colours.(1)
(ii)In a bar chart, the bars must always be drawn touching each other with no gaps between them.(1)
(Total for Question 4 is 2 marks)
5
24 pupils were asked to name their favourite fruit. The results are shown in the table.
Fruit
Apple
Banana
Orange
Grape
Frequency
9
6
5
4
On the grid provided, draw a bar chart to show this information.
(Total for Question 5 is 3 marks)
6
The bar chart shows the number of pupils who chose tea, coffee and juice as their favourite drink in a survey. The bar for water is missing. In total, 35 pupils took part in the survey.
(a)Work out the number of pupils who chose water as their favourite drink.(3)
(b)Draw the missing bar for water on the bar chart.(1)
(Total for Question 6 is 4 marks)
7
The dual bar chart shows the favourite sport of the boys and the girls in a class.
(a)Write down the number of boys whose favourite sport is football.(1)
(b)Work out the total number of girls who took part in the survey.(2)
(c)Work out how many more boys than girls chose football as their favourite sport.(2)
(Total for Question 7 is 5 marks)
8
The bar chart shows the number of cars sold by a garage in each of four months.
(a)Write down the number of cars sold in March.(1)
(b)Work out the total number of cars sold from January to April.(2)
(Total for Question 8 is 3 marks)
9
The horizontal bar chart shows how the 50 staff at a company travel to work.
(a)Write down which method of travel was used by the most staff.(1)
(b)Work out what fraction of the staff travel to work by bike. Give your answer in its simplest form.(2)
(Total for Question 9 is 3 marks)
10
The vertical line chart shows the number of siblings of each of 30 pupils in a survey.
(a)Write down the mode of the number of siblings.(1)
(b)Work out how many pupils have more than 2 siblings.(2)
(c)Work out the total number of pupils in the survey.(2)
(Total for Question 10 is 5 marks)
11
The dual bar chart shows the monthly rainfall, in mm, recorded in Cardiff and in Leeds during January, February and March.
(a)Write down the rainfall recorded in Leeds in February.(1)
(b)Work out the difference in rainfall between Cardiff and Leeds in March.(2)
(c)Work out the total rainfall in Cardiff over the three months.(2)
(Total for Question 11 is 5 marks)
12
The composite (stacked) bar chart shows the number of red cars and white cars sold by a dealership in May, June and July. Each bar is split into a red section and a white section.
(a)Work out the total number of cars sold in June.(2)
(b)Write down the month in which the greatest total number of cars was sold.(1)
(Total for Question 12 is 3 marks)
13
The bar chart shows the eye colour of 40 pupils in a survey.
(a)Work out the fraction of pupils with brown eyes. Give your answer in its simplest form.(2)
(b)Work out the percentage of pupils with green eyes.(2)
(Total for Question 13 is 4 marks)
14
Here are the shoe sizes of 20 pupils in a class: 4, 5, 6, 7, 5, 6, 4, 5, 6, 7, 5, 6, 4, 5, 6, 7, 6, 5, 6, 6
(a)Use a tally to complete a frequency table for shoe sizes 4, 5, 6 and 7.(2)
(b)Using your frequency table, draw a fully labelled bar chart to show this information.(3)
(Total for Question 14 is 5 marks)
15
The bar chart compares the total sales, in thousands of pounds sterling, of Company A and Company B last year. Company A had sales of 42 (thousand pounds) and Company B had sales of 48 (thousand pounds).
(Total for Question 15 is 1 mark)
16
The bar charts show the test grades (1 to 5) achieved by the 25 students in Class 7A and the 25 students in Class 7B.
(a)Write down the modal grade for Class 7A and the modal grade for Class 7B.(2)
(b)Make one comparison between the test results of Class 7A and Class 7B.(1)
(Total for Question 16 is 3 marks)
17
The bar chart shows the number of votes received by candidates A, B and D in a school council election. The bar for candidate C is missing. A total of 240 votes were cast, and candidate C received 25% of all the votes.
(a)Work out the number of votes candidate C received.(2)
(b)Draw the bar for candidate C on the bar chart.(1)
(Total for Question 17 is 3 marks)
18
The bar chart shows the number of items sold last week by each of 6 sales staff at a shop.
Any sales staff who sold more than 50 items receive a bonus of GBP15.
(a)Write down how many of the sales staff receive a bonus.(1)
(b)Work out the total amount of money paid out in bonuses.(2)
(Total for Question 18 is 3 marks)
Mark scheme · 2.15 Bar Charts
Question 1
(a) B1 6 cao
(a) Answer: 6
(b) B1 Walk cao
(b) Answer: Walk
(c) M1 15 + 6 + 9 + 5, oe (adds all four frequencies)
(c) A1 35 cao
(c) Answer: 35
Question 2
(a) B1 3 cao
(a) Answer: 3
(b) M1 2 + 0 + 3 + 1 + 2, oe
(b) A1 8 cao
(b) Answer: 8
Question 3
(a) B1 C cao
(a) Answer: C) Strawberry
(b) M1 22 - 14, oe
(b) A1 8 cao
(b) Answer: 8
Question 4
(i) B1 True cao
(i) Answer: True
(ii) B1 False cao
(ii) Answer: False
Question 5
B1 a suitable uniform scale chosen on the frequency axis, starting at 0
B1 all four bars drawn to the correct height: Apple 9, Banana 6, Orange 5, Grape 4 (± half a small square)
B1 chart fully labelled, with a title and both axes labelled
Answer: Bar chart with bars of height 9 (Apple), 6 (Banana), 5 (Orange), 4 (Grape).
Question 6
(a) M1 8 + 11 + 6 (= 25), oe
(a) dM1 35 - 25 (dependent on the first method mark)
(a) A1 10 cao
(a) Answer: 10
(b) B1 bar drawn to height 10, ft from (a)
(b) Answer: Bar of height 10 for Water
Question 7
(a) B1 14 cao
(a) Answer: 14
(b) M1 7 + 9 + 6 + 6, oe
(b) A1 28 cao
(b) Answer: 28
(c) M1 14 - 7, oe
(c) A1 7 cao
(c) Answer: 7
Question 8
(a) B1 20 cao
(a) Answer: 20
(b) M1 15 + 25 + 20 + 30, oe
(b) A1 90 cao
(b) Answer: 90
Question 9
(a) B1 Car cao
(a) Answer: Car
(b) M1 5/50, oe
(b) A1 1/10 oe (accept equivalent fractions, 0.1 or 10%)
(b) Answer: 1/10
Question 10
(a) B1 1 cao
(a) Answer: 1
(b) M1 3 + 1, oe (frequencies for 3 and 4 siblings identified)
(b) A1 4 cao
(b) Answer: 4
(c) M1 6 + 12 + 8 + 3 + 1, oe
(c) A1 30 cao
(c) Answer: 30
Question 11
(a) B1 62 (mm) cao
(a) Answer: 62 mm
(b) M1 64 - 40, oe
(b) A1 24 (mm) cao
(b) Answer: 24 mm
(c) M1 58 + 50 + 64, oe
(c) A1 172 (mm) cao
(c) Answer: 172 mm
Question 12
(a) M1 15 + 10, oe
(a) A1 25 cao
(a) Answer: 25
(b) B1 June ft (from (a))
(b) Answer: June
Question 13
(a) M1 18/40, oe
(a) A1 9/20 oe
(a) Answer: 9/20
(b) M1 6/40 x 100, oe
(b) A1 15% awrt
(b) Answer: 15%
Question 14
(a) B1 correct tally marks recorded for each shoe size, matching the data
(b) M1 a suitable uniform scale chosen on the frequency axis, starting at 0, ft from (a)
(b) M1 all four bars drawn to the correct height: 3, 6, 8, 3, ft from (a)
(b) A1 chart fully labelled, with a title and both axes labelled
(b) Answer: Bar chart with bars of height 3 (size 4), 6 (size 5), 8 (size 6), 3 (size 7).
Question 15
B1 correct reason, e.g. the vertical axis does not start at 0 (it starts at 40), so the difference between the bars is exaggerated / looks much bigger than it really is, oe
Answer: The vertical axis does not start at 0 (it starts at 40), so the difference in sales looks much bigger than it really is.
Question 16
(a) B1 Class 7A modal grade = Grade 3
(a) B1 Class 7B modal grade = Grade 4
(a) Answer: 7A: Grade 3, 7B: Grade 4
(b) C1 valid comparative statement supported by data, e.g. Class 7B generally did better than Class 7A because 7B's modal grade (4) is higher than 7A's (3), or more of 7B (9+6=15) achieved grade 4 or 5 than 7A (6+2=8), oe
(b) Answer: Class 7B generally performed better than Class 7A, since more students in 7B achieved grade 4 or 5 (15 out of 25) than in 7A (8 out of 25).