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Interpret Time Series Graphs

In this worksheet, students will plot and interpret time series graphs.

'Interpret Time Series Graphs' worksheet

Key stage:  KS 3

Year:  Year 8 Maths worksheets

Curriculum topic:   Statistics

Curriculum subtopic:   Construct/Interpret Appropriate Representations for Data

Difficulty level:  

Worksheet Overview

When do you think you would sell more ice-cream - in the summer or the winter?

 

ice creams

 

A local ice cream van recorded its sales (in £100s) for each quarter of the year for the three years it's been in business, and organised its data into a frequency table:

 

Quarter Sales (in £100)
1 12
2 24
3 17
4 5
5 14
6 26
7 20
8 7
9 18
10 28
11 20
12 10

 

Each year has four quarters so e.g. quarter 5 is the first quarter of the second year!

 

This is an example of time series data, i.e. data points collected or recorded at successive time intervals (like year quarters here!).

 

By plotting it onto a graph where the time is on the x-axis, we get the time series graph:

 

a time series graph

 

We can use time series graphs to spot patterns and make predictions.

 

For example, we can see that the sales peaked at quarters 2, 6 and 10, i.e. the second quarters of the years (the summer!).

 

Then it dips in the last quarter of each year (quarters 4, 8 and 12 which was the winter).

 

The peaks were between 26 and 28, i.e. £2,600 and £2,800

 

The peaks increased each time - so the next peak is likely to be around £2,900 in quarter 14 (i.e. the second quarter of the 4th year).

 

chocolate ice cream

 

Ready to have a go at some questions?

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