 Everyday maths for Construction and Engineering 1

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# 6 Line graphs

Now that you’ve had a look at pie charts and bar charts, let’s take a look at line graphs. These are drawn by marking (or plotting) points and then joining them with a straight line. You might have seen them used in the workshop.

Hint: It is best to use graph or squared paper when drawing line graphs because it makes it easier to plot the points.

## Example: The estate agent

How would you present information as a line graph? Watch the following video to find out. Skip transcript

#### Transcript

Here is a table showing the number of houses sold by an estate agent over a six-month period. How could you represent this information as a line graph?

To draw this in a graph, you need to first draw the axes. The months go on the bottom (horizontal) axis, and the house sales go up the left-hand side on the vertical axis.

Next, we need to decide on how we divide up these axes. There are six months, so there will be six marks on the horizontal axis. The highest number of house sales was 9, so the vertical axis will go from 0 to 10.

Now we can begin to mark our points. Starting with the first row of the table, you go up the line marked January, and then when you get to the line going across marked 2, you make a small cross. You then do this for the other points. Finally, you join the points using a ruler, and add your title.

Here’s a summary. To draw a line graph, you need to draw the horizontal and vertical axes and label them. Divide these axes into suitable scales to do this, you need to look at the data and find out what the smallest and largest numbers are. Plot the points from your data using a pencil to make small crosses. Join the points using a ruler, and give your graph a title.

End transcript

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Now try the following activity. Remember to check your answers once you have completed the questions.

## Activity 10: Creating a line graph

Line graphs are often used to show temperatures or hours of sunshine at a particular location. If you are working as a site foreman you will need to be aware of the predicted hours of sunshine or daylight in order to schedule the different trades.

The following table shows the hours of sunshine at a new site. Draw a line graph using the data from the table and then answer the questions below.

MonthHours of sunshine
May6
June7
July8
August9
September8
October7
1. What month was the sunniest and therefore the best month to schedule all outside work?
2. What month had the least sunshine?

When drawing your line graph you should:

• draw the horizontal axis, labelling it ‘Months’, and the vertical axis, labelling it ‘Hours of sunshine’
• divide these axes into suitable scales – your smallest and largest numbers are 6 and 9, so your scale could be one square for one hour
• plot the points from your data, using a pencil and make small crosses
• join the points using a ruler
• give your graph a title, such as ‘Hours of sunshine at a site location over a six-month period’.

The finished line graph should look something like this: Figure 11 Sunshine line graph

1. August is the sunniest month.
2. May is the least sunny month.

Self-check: always remember the following statements

Before moving on, you need to make sure you are able to collect, organise and show data in the forms of tables, diagrams, charts and graphs. Ask yourself the following questions:

• When I draw tables, diagrams, charts and graphs, is my data displayed clearly so that the information is easy to understand?
• Do I always include titles, scales, labels and keys when they are needed?

If you are not sure about these points, show your work to someone else and ask if they understand the data.

## Summary

In this section you have learned about how to present data in line graphs.

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