# 10.02 Picture graphs

Lesson

## Ideas

Do you know how to interpret information in a  table  ?

### Examples

#### Example 1

Avril asks her friends what they like to eat when they go out with their family. She puts her results in the following table.

a

How many friends did Avril ask?

Worked Solution
Create a strategy

Add all the numbers in the 'Number of Friends' column.

Apply the idea
b

Which food do Avril's friends like the least?

A
Kebab
B
Hamburger
C
Taco
Worked Solution
Create a strategy

Choose the food in the given table with the smallest number of friends.

Apply the idea

The food with the smallest number of friends is Kebab with 3 friends.

So the correct answer is option A.

Idea summary

We can organise how many times something occurs in a table and use it to answer questions.

## Picture graphs

This video shows what a picture graph is (also called a pictograph) and the key components of title, key, rows and columns. Here we will look at an example where each image represents one thing, such as a person or object.

### Examples

#### Example 2

A class were asked to vote which sport they would like to play in their next lesson. The votes are shown in the picture graph.

Each image represents 1 vote.

a

How many students are in the class?

Worked Solution
Create a strategy

Each image represents 1 vote by 1 student. Count the images in the graph.

Apply the idea
b

A
Soccer
B
Worked Solution
Create a strategy

Choose the sport that has most images next to it.

Apply the idea

Idea summary

Picture graphs display data using pictures. It is important to read the key to understand what each picture represents.

## Key features of picture graphs

This video uses an example of a picture graph to understand all the important elements of this type of graph including the rows, columns, title and key. Here we will look at an example where each image represents more than one thing, such as a group of people or objects.

### Examples

#### Example 3

A group of children are going to the mall and are asked, "What is your favourite shop?" This picture graph shows the store they chose.

a

Complete the frequency table below for the number of children.

Worked Solution
Create a strategy

Use the data given in the table and remember that 1 image represents 5 children.

Apply the idea

For the Sweets store, there are 9 images. So, 9 \times 5 = 45.

For the Games store, there are 4 images. So, 4 \times 5 = 20.

For the Toy store, there are 7 images. So, 7 \times 5 = 35.

Filling in the table, we get:

b

How many children prefer the Sweets shop over the Games shop?

Worked Solution
Create a strategy

Subtract the number who chose the Games shop from the number that chose the Sweets shop.

Apply the idea

The Sweet shop is preferred by 25 children over the Games shop.

Idea summary

If each picture in a picture graph represents more than 1 item, then we need to multiply the number if pictures by the number of items it represents to find the frequency.

## Interpret picture graphs

This video shows us how we can use a picture graph to answer questions.

### Examples

#### Example 4

It’s "Back to school" time and a shop recorded the number of pens they sold this week.

a

How many pens were sold on Wednesday?

Worked Solution
Create a strategy

Count the number of pens for Wednesday and use the key.

Apply the idea

Each image of a pen represents 5 pens.

Wednesday has 4 pen images. So, 4 \times 5=20 pens.

The total number of pens sold on Wednesday is 20.

b

How many more pens were sold on Saturday than on Wednesday?

Worked Solution
Create a strategy

Subtract the number of pens sold on Wednesday from the number of pens sold on Saturday.

Apply the idea

Each image of a pen represents 5 pens.

Saturday has 5 pen images. So, 5 \times 5=25 pens.

5 more pens were sold on Saturday compared to Wednesday.

Idea summary

Another name for a picture graph is a pictograph. These graphs use pictures to represent data. One picture can have a value greater than 1, so we need to check the key to make sure we know what it represents.

### Outcomes

#### MA2-18SP

selects appropriate methods to collect data, and constructs, compares, interprets and evaluates data displays, including tables, picture graphs and column graphs M