Lesson 4 Lesson Objective Nod y wers To analyse questionnaire data in order to identify if your school is sustainable To use your research to identify and make decisions on ways to improve the schools sustainability ID: 912262
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Slide1
Global Citizenship Challenge
Lesson 4
Slide2Lesson Objective – Nod y
wers
To
analyse questionnaire data in
order to identify if your school is sustainable.
To use your research to identify and make decisions on ways to improve the schools sustainability.
Skills Objective -
Sgiliau
Critical Thinking, Problem
S
olving, Decision Making and Numeracy.
Slide3Starter Activity
In talking partners discuss and list the different types of graph you could use to display the results from your questionnaire. Think back to your maths/numeracy lessons to help you here. Write your answers
on page 11 of your booklet
.
Types of graphs to display data
Slide4How to analyse data
Make a tally table to show the data gathered for each closed questions.
i.e. Question 1 : Are you male or female?
Question 2 : What is your favourite fruit?
Male
Female
6
9
Apple
Orange
Pear
Banana
Grapes
Other
5
2
1
4
0
3
Slide5Bar charts
Use a bar chart to
compare two or more values with a small set of results
.
Drawing a bar chart
In a bar chart, the
height of the bar shows the frequency of the result
.
As the height of bar represents frequency, label the vertical axis 'Frequency'. The labelling of the horizontal axis depends on what is being represented by the bar chart.
Slide6Line graphs
A line graph is often used to
show a trend
over a number of days or hours. It is plotted as a series of points, which are then joined with straight lines. The ends of the line graph do not have to join to the axes.
Slide7Pie charts
Pie charts use different-sized sectors of a circle to represent data.
To construct a pie chart you need to work out the fraction of the total that the sector represents. You can then convert this to an angle and draw the sector on the chart.
Slide8Example
The table below shows the grades achieved by 30 pupils in their end-of-year exam.
To show this information in a pie chart, take the following steps:
Work out the total number of pupils
: 7 + 11 + 6 + 4 + 2 = 30
To work out the angle of each segment,
work out the fraction of the total that got each grade
.
Start with A grades:
7
/
30
There are 360° in a full turn, so to work out the angle,
multiply the fraction by 360
:
7
/
30
× 360 = 84°
The grade A sector has an angle of 84°Repeat this process to find the angle of the segments for the other grades Once you have calculated the angles of the segments, construct the pie chart
Constructing a pie charts
Slide9Make a graph for each tally table, (use a sensible graph)
i.e.
Question 1 : Are you male or female?
Male
Female
6
9
What graph do I use?
Slide10Analysing your data
Task 1:
Using these different strategies of analysing data, you must now look at your own questionnaires.
You must:
Create tally charts and input the data you have collected
Decide what graph is the most suitable to display the data you have collected
Slide11Analysing your results
Once you have displayed your results it is important to write about them. When we describe any results it is important that we pick out any trends or patterns, we call this an ANALYSIS.
When
we write an analysis it is important that we consider the following things:
The highest and lowest results
The overall trend
Any smaller trends
Mode, median, mean,
range
Task:
Using information from the following slides, write down the word equation for the terms listed on page
12.
Slide12Other methods of analysing data
T
he mean
The mean is the most common measure of average.
To calculate the mean add the numbers together and divide the total by the amount of numbers:
Mean = sum of numbers ÷ amount of numbers
Slide13Other methods of analysing data
T
he median
If you place a set of numbers in order, the
median number is the middle one
.
If there are two middle numbers, the median is the mean of those two numbers.
Slide14Other methods of analysing data
T
he mode
The mode is the
value that occurs most often
.
The mode is the only average that can have more than one value.
When finding the mode, it helps to order the numbers first.
Slide15Other methods of analysing data
T
he range
The range is the difference between the highest and lowest values in a set of numbers.
To find it,
subtract the lowest number in the distribution from the highest
.
Slide16Analysing a graph – good practice
The line graph shows that the temperature over seven days fluctuates. From Sunday to Monday the temperature increases by 2 degrees. From Monday to Thursday there is a decrease in temperature form 28 degrees to 19 degrees. From Thursday to Saturday the temperature again increases from 19 to 27 degrees. The range of temperature shown in the graph is 9 degrees; the mean temperature is 24.2 degrees. The highest temperature in the week was on Monday and the lowest temperature was on Thursday.
Fluctuate=to
rise and fall or go up and down randomly.
This line graph shows the midday temperature over a period of 7 days.
Slide17Plenary:
How did you use your decision making skills today?
How did you use your problem solving skills today?
How have you effectively analysed your data?
Can you give an example of analysing a graph? – What would you use?