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Unit E2 Section 2
Line Graphs

A line graph is drawn by plotting data points and joining them with straight lines. It is really only the actual data points that count, but by drawing the lines you get a better impression of the trend in the data points. This method of representation is particularly useful when illustrating trends over time.

Worked Examples

1

Samuel recorded the temperature in his shed at 6 am each day for a week. His records are shown on this line graph.

(a)

What was the temperature on Wednesday?

For Wednesday the temperature can be read as 25°C.

(b)

What was the lowest temperature recorded?

The lowest temperature occurred on Friday and was 19°C.

(c)

What was the highest temperature recorded?

The highest temperature occurred on Sunday and was 30°C.

2

As part of a science project Evan records the height of a plant every week. His results are shown in this table.

Draw a line graph to show the data.

First draw a suitable set of axes.

Then plot a point for each measurement as shown on the following graph.

The points can then be joined with straight lines as shown in the next graph.

Exercises

The line graph shows the monthly rainfall for a town.

(a)

How much rain was there in September?

cm
(b)

In which month was the rainfall 5 cm?

(c)

Which months were the wettest?

(d)

Which months were the driest?

A mug was filled with hot water and the temperature was recorded every 5 minutes. The graph below shows the results.

(a)

What was the temperature after 25 minutes?

°C
(b)

What was the temperature at the start of the experiment?

°C
(c)

When was the temperature 45°C?

mins after filling the mug
(d)

How long did it take for the temperature to drop from 68°C to 36°C?

mins

The following graph shows how the height of a sunflower plant changed in the weeks after it was planted in a garden.

(a)

What was the height of the plant when it was planted in the garden?

cm
(b)

How much did the plant grow in the first week?

cm
(c)

What is the greatest height that the graph shows?

cm
(d)

How long did it take for the height to increase from 54 cm to 78 cm?

weeks