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Introducing Averages

Introducing the concepts of the mean, median, mode and range
by

Douglas Noble

on 12 February 2014

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Transcript of Introducing Averages

23
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12
30
16
21
12
12
Averages
LI: We are learning about different
ways to work out averages
Mean
Why
What
Is an average?
is it useful?
the
is the most commonly used average
Add up all of the answers and divide the result by the number of answers
3
8
10
4
5
6
How many school lunches have you had this term?
3 + 8 + 10 + 4 + 5 + 6 = 36
There are 6 pupils so the mean number of school lunches is
36 ÷ 6 = 6
Median
the
is the middle number
Put all of the results in number order and the median is the one which is in the middle.
3
8
10
3
5
How many pencils are in your pencil case?
When the numbers are put in order 5 is in the middle so the median is
Mode
the
is the value which occurs most often
Count how many times each answer appears, the most common value is the mode.
5
8
10
4
5
2
How many house points do you have?
The value 5 appears twice all the other values only appear once so the mode is
5
3
4
5
6
8
10
5
If the sample size is an even number then the median is the MEAN of the two middle numbers.
6 + 5 = 11
11 ÷ 2 = 5.5
10
1
10
2
0
3
How many cousins do you have?
The value 10 appears twice all the other values only appear once so the mode is
10
red
What is your favourite colour?
The answer red is the most common answer so the mode is
red
red
pink
blue
red
green
Range
the
The difference between the largest
Subtract the smallest value from the largest value to find the range.
3
8
10
4
5
6
How many school lunches have you had this term?
10 - 3 = 7
The difference between the highest and lowest values is 7 so the range is
7
and the smallest value
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12
11
10
9
8
7
6
5
4
3
2
1
0
------------------------------------------------------------------------
Monday
Tuesday
Thursday
Wednesday
Days
Rainfall in millimetres
Daily rainfall for the week beginning 04/11/13
Averages
Add up all of the answers and divide by the number of answers
Put all of the answers in number in order and the median is the one which is in the middle
Count how many times each answer appears, the one that appears the most often is the mode
Subtract the smallest value from the largest value to find the range
Range
Mode
Median
Mean
Example of bar chart with mean
Progressive set of results for
advanced examples.

Lesson plan and resources for teaching about averages
Start here
3
8
10
3
5
Do you think the mode is a good way of finding the average number of cousins for this group?
You can use the mode for results which aren't numbers!
2
1
3
5
0
4
How many cousins do you have?
Everyone has a different answer
so there is no mode
Full transcript