# 10.06 Horizontal bar graphs and vertical column graphs

Lesson

## Ideas

Can you read information from  dot plots  ?

### Examples

#### Example 1

The following dot plot shows the number of students in each section of the school band:

a

Which section has the least members?

A
B
Woodwind
C
Brass
D
Strings
Worked Solution
Create a strategy

Choose the section with least of dots.

Apply the idea

Looking at the dot plot, percussion has the least dots.

So the correct answer is option A.

b

How many people are in the band?

Worked Solution
Create a strategy

Count all the dots for each section, and then add the results together.

Apply the idea

Each dot represent 1 person.

So there are 23\,people in the band.

c

How many more people are there in the Strings section than the Brass section?

Worked Solution
Create a strategy

Subtract the number of dots for the brass section from the number of dots for the strings section.

Apply the idea

Each dot represent 1 person.

So there 3 more people in the Strings section than in the Brass section.

Idea summary

Dot plots show us how many of something, using dots. The key is really important, because it tells us if each dot is worth 1, or more than 1.

## Create and interpret column graphs

This video uses a number of column graph examples and explores some strategies about how to interpret them.

### Examples

#### Example 2

This table shows the number of badges five students sold for a local charity.

a

Create a column graph which shows the number of badges by student.

Worked Solution
Create a strategy

Use the table to know how high each column should go.

Note that the ticks on the vertical axis go up by 5s not 1s.

Apply the idea

When drawing each column, the tick for the name should be in the center of the column. Each column should be the same width. There should be gaps between each column.

From the table, Derek sold 70 badges. So the column above Derek's name should go up to 70. We can use the same method for the rest of the columns.

b

Which student sold the same number of badges as Tara?

A
Frank
B
Derek
C
William
Worked Solution
Create a strategy

Look for another column which has the same height as Tara's column.

Apply the idea

Looking at the column graph, we can see that William's column has the same height as Tara's.

So the correct answer is option C.

Idea summary

When drawing a column graph, the tick for the category should be in the center of the column. Each column should be the same width. There should be gaps between each column.

The height of the column is equal to the number of times that category occurs.

## Horizontal bar graphs

This video introduces horizontal bar graphs as an avenue for displaying and interpreting data. Similarities to column graphs are noticed.

### Examples

#### Example 3

The bar graph shows the merit points received by four students in a class.

a

How many points in total were earned by Tari and Emily?

Worked Solution
Create a strategy

Add the points that the two columns reach.

Apply the idea

Tari's bar goes up to 10 so she earnt 10 points. Emily's bar goes up to 8 so she earnt 8 points.

b

How many more points did Nayan earn than Ivan?

Worked Solution
Create a strategy

Subtract Ivan's points from Nayan's.

Apply the idea

Nayan's bar goes up to 16 so he earnt 16 points. Ivan's bar goes up to 12 so he earnt 12 points.

So Nayan earned 4 more points than Ivan.

Idea summary

A horizontal bar graph works in a similar way to a vertical bar graph, but the axes are switched around. The category is on the left axis, and the results are on the bottom axis. Instead of seeing how tall a bar is, we look at how far to the right the bar extends.

### Outcomes

#### VCMSP206

Construct displays, including column graphs, dot plots and tables, appropriate for data type, with and without the use of digital technologies

#### VCMSP207

Describe and interpret different data sets in context