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Understand Bar Charts

In this worksheet, students practise reading bar charts

'Understand Bar Charts' worksheet

Key stage:  KS 4

GCSE Subjects:   Maths

GCSE Boards:   AQA, Eduqas, Pearson Edexcel, OCR

Curriculum topic:   Statistics

Curriculum subtopic:   Statistics, Interpreting and Representing Data

Difficulty level:  

Worksheet Overview

QUESTION 1 of 10

What is a bar chart?

Bar charts are a method of displaying data where the height of the bar tells you how much each category is worth.

 

The significant points on a bar graph.

There are four things that a examiner will look for when a bar graph is drawn.

1) The width of each bar must be the same

2) There must be a gap between each bar and it must be the same each time

3) Scales - Frequency (how often something occurs) must go up the side and the other category along the bottom. The bottom scale categorys must be written under the middle of each bar.

4) Each axis must have a label.

 

Example: The scores for a class in a maths test are shown below.

How many pupils are in the class.

All we have to do for this one is work out what each bar on the chart is worth. This is given by reading off the height on the side.

2 + 3 + 5 + 8 + 6 = 24

 

For the bar chart shown. Select which of the four key things have been done correctly.

Bars are all the same width

Gaps are all the same

scales on both axes are correct

Both axes have a title

For the bar chart shown. Select which of the four key things have been done correctly.

Bars are all the same width

Gaps are all the same

scales on both axes are correct

Both axes have a title

Jeff asked some people coming out of a sport centre what activity they had been doing.

He then drew a bar chart to show her data,

Which is the most popular sport?

 

Football

Swimming

The gym

Tennis

Badminton

Jeff asked some people coming out of a sport centre what activity they had been doing.

He then drew a bar chart to show her data,

How many people took part in her survey?

 

The grades achieved by a year 11 group in a school are put into a bar chart.

 

Anyone who achieved a grade 4 has passed the maths exam.

How many pupils passed the maths exam?

 

 

The grades achieved by a year 11 group in a school are put into a bar chart.

 

How many students are in the year group?

A teacher surveys the students in her class about how long it took them to do their homework. She produces the following bar chart.

 

How many pupils were in her class that day?

A teacher surveys the students in her class about how long it took them to do their homework. She produces the following bar chart.

 

It is recommended that you take half an hour or more to complete homework on a night.

 

What fraction of the pupils completed this?

 

(Give your answer as a fraction in the form a/b)

The maximum and minimum temperatures are taken in 5 cities across the UK.

 

Which cities had the highest maximum temperature and the lowest minimum temperature

 LondonManchesterBelfastCardiffEdinburgh
Highest Maximum
Lowest Minimum

The maximum and minimum temperatures are taken in 5 cities across the UK.

 

Which city had the biggest difference between the maximum and minimum temperatures?

London

Manchester

Belfast

Cardiff

Edinburgh

  • Question 1

For the bar chart shown. Select which of the four key things have been done correctly.

CORRECT ANSWER
Bars are all the same width
Both axes have a title
EDDIE SAYS
There are two things missing here. 1) The frequency doesn\'t have a scale 2) The bars for 41 - 60 and 61 - 80 are shown together so the gaps are incorrect.
  • Question 2

For the bar chart shown. Select which of the four key things have been done correctly.

CORRECT ANSWER
scales on both axes are correct
Both axes have a title
EDDIE SAYS
There are two things missing here. The bar for 21 - 40 has been drawn too wide, this also makes the gaps different sizes.
  • Question 3

Jeff asked some people coming out of a sport centre what activity they had been doing.

He then drew a bar chart to show her data,

Which is the most popular sport?

 

CORRECT ANSWER
Tennis
EDDIE SAYS
All we have to do here is to find the one with the tallest bar.
  • Question 4

Jeff asked some people coming out of a sport centre what activity they had been doing.

He then drew a bar chart to show her data,

How many people took part in her survey?

 

CORRECT ANSWER
52
EDDIE SAYS
To find the total, we need to find out what each of the bars is worth and then add them together.
  • Question 5

The grades achieved by a year 11 group in a school are put into a bar chart.

 

Anyone who achieved a grade 4 has passed the maths exam.

How many pupils passed the maths exam?

 

 

CORRECT ANSWER
74
EDDIE SAYS
We know that a student passes if they achieve a grade 4. All we need to do here is count up the bars for grades 4 - 9
  • Question 6

The grades achieved by a year 11 group in a school are put into a bar chart.

 

How many students are in the year group?

CORRECT ANSWER
103
EDDIE SAYS
If the question is asking for the total, all we have to do is add up the heights of all the bars,
  • Question 7

A teacher surveys the students in her class about how long it took them to do their homework. She produces the following bar chart.

 

How many pupils were in her class that day?

CORRECT ANSWER
30
EDDIE SAYS
Once again, we\'re looking for the total. Just add up the frequencies for each bar.
  • Question 8

A teacher surveys the students in her class about how long it took them to do their homework. She produces the following bar chart.

 

It is recommended that you take half an hour or more to complete homework on a night.

 

What fraction of the pupils completed this?

 

(Give your answer as a fraction in the form a/b)

CORRECT ANSWER
13/30
EDDIE SAYS
We know that there are 30 pupils in the class. Out of these the last 3 bars did more than half an hour. If there are 13 in these last three bars, what does that make the fraction?
  • Question 9

The maximum and minimum temperatures are taken in 5 cities across the UK.

 

Which cities had the highest maximum temperature and the lowest minimum temperature

CORRECT ANSWER
 LondonManchesterBelfastCardiffEdinburgh
Highest Maximum
Lowest Minimum
EDDIE SAYS
This question is just asking if you can spot the tallest and the smallest bars.
  • Question 10

The maximum and minimum temperatures are taken in 5 cities across the UK.

 

Which city had the biggest difference between the maximum and minimum temperatures?

CORRECT ANSWER
Edinburgh
EDDIE SAYS
Note that the keyword is the difference here. For example: London's highest temp is 28 and it's lowest temp is 12. This gives a difference of 16 degrees.
---- OR ----

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