Broken Line Graphs - Cycle 3

| Mathematics

What Is a Broken Line Graph?

Definition

A broken line graph shows the results of a survey as a broken line that changes over time (months, days, hours, etc.).

Example:

Example of a broken line graph.

What Are the Parts of a Broken Line Graph?

The title of a broken line graph presents the subject of a study.

Example

The title indicates that this broken line graph represents the number of book club participants from January to April.

Example of a title in a broken line graph.

A broken line graph has 2 axes: the vertical axis and the horizontal axis. Each axis is labelled to show what it represents.

The horizontal axis represents time units. It shows when and how often the data was collected.

The vertical axis represents the number of each of the data values collected.

Example

In this graph, the horizontal axis shows the time in months. Data was collected once a month from January and April.

The vertical axis shows the number of book club participants.

Vertical and horizontal axes of a broken line graph.

The scale on each of the axes must have equal intervals.

Example

The intervals between the numbers on the vertical axis of this broken line graph are + 2. The horizontal axis increases one month at a time. (+1)

Example of equal intervals on the axes of a broken line graph.

In a broken line graph, the data values (results) are represented by points connected by segments. The number associated with the position of each point indicates the amount of the data for each unit of time.

Examples

You can see the position of the point for Monday corresponds to 3 on the vertical axis. This lets you know that William ate 3 fruits on Monday.

The position of the point for Sunday corresponds to 2 on the vertical axis. This means that William ate 2 fruits on Sunday.

Example of data in a graph.

Important!

The vertical axis normally starts at 0. However, it is possible to make a larger jump between 0 and the first value by placing an “axis break.”

Example:

Example of an axis break in a broken line graph.

How to Interpret a Broken Line Graph

To interpret a broken line graph, you must analyze all the parts of the graph while keeping the question of the study in mind.

Example

What was the warmest day this week?

Example of interpreting a broken line graph-1.

  1. Find the point that is the highest on the broken line, since this represents the warmest temperature.

    The point that is highest represents a temperature of 12 degrees Celsius.

Example of interpreting a broken line graph.
  1. Look at the horizontal axis to identify the day with the highest point.

    The day corresponding to the highest point is Thursday.

Example of interpreting a broken line graph.

The warmest day was Thursday.

Example

What was the temperature on Wednesday?

Example of interpreting a broken line graph-1.

  1. Find Wednesday on the horizontal axis.
Example of interpreting a broken line graph.
  1. Find the point associated with Wednesday.
Example of interpreting a broken line graph.
  1. Look at the vertical axis to identify the temperature corresponding to the point.

    If the point is equally distanced between the 4 and the 6, you know the temperature is 5 degrees Celsius.

Example of interpreting a broken line graph.

On Wednesday, the temperature was 5 degrees Celsius.