1. Mode = the item that appears most often - the most common number
In this transport survey
CARS are the MODE.
There are more cars than
any other vehicle
In this group of fruit
APPLES are the MODE.
There are more apples
than any other fruit.
2, 3, 6, 4, 2, 2, 3, 6, 5
In this group of numbers
2 is the MODE.
2 appears more than any
other number
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2. What is the mode in each of the following? :-
MODE - continued
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What is the mode in each of the following? :-
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10, 11, 10, 8, 5, 8, 10, 8, 6, 7, 8, 8, 9, 12
10, 11, 10, 8, 5, 8, 10, 8, 6, 7, 8, 8, 9, 12 8
20, 20, 22, 25, 40, 13, 20, 21, 22, 20, 40,
20, 20, 22, 25, 40, 13, 20, 21, 22, 20, 40, 20
2, 4, 8, 2, 3, 3, 3, 2, 4, 4, 2, 2, 2, 9, 5, 2, 4
2, 4, 8, 2, 3, 3, 3, 2, 4, 4, 2, 2, 2, 9, 5, 2, 4 2
102, 105, 120, 102, 103, 104, 166, 124, 132
102, 105, 120, 102, 103, 104, 166, 124, 132
102
65, 61, 67, 66, 67, 66, 61, 66, 64, 66, 67, 65
65, 61, 67, 66, 67, 66, 61, 66, 64, 66, 67, 65 66

3. Median 10, 5, 2, 1, 8, 7, 6 First, put the numbers into order:- 1 2 5
The value of the middle number when they are arranged in order
10, 5, 2, 1, 8, 7, 6
First, put the numbers into order:- 1 2 5 6 7 8 10
middle
Now find the number that is in the middle
6 is the MEDIAN
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4. Median 4, 19, 3, 22, 15, 1, 9 First, put the numbers into order:- 1 3
The value of the middle number when they are arranged in order
4, 19, 3, 22, 15, 1, 9
First, put the numbers into order:- 1 3 4 9 15 19 22
middle
Now find the number that is in the middle
9 is the MEDIAN
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5. Find the MEDIAN in the following:-
Median - continued
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Find the MEDIAN in the following:-
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4, 9, 5, 2, 3, 10, 1 1 2 3 4 5 9 10
median
22, 16, 5, 29, 32, 10, 1 1 5 10 16 22 29 32
median
2, 6, 15, 24, 32, 10, 9 2 6 9 10 15 24 32
median

6. Now that you’ve got the idea of MEDIAN there’s just one more thing to remember!
If there are an EVEN amount of numbers you can’t find the middle straight away……
What’s the middle number?
To find the median ADD the two middle numbers together, then DIVIDE by 2.
7 + 9 = ÷ 2 = 8
So, the MEDIAN is 8
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7. Let’s find the median of this group of numbers
6, 5, 5, 7, 1, 4, 10, 7, 8
FIRST, put the numbers into ORDER
Make sure you’ve got the right amount – there are 9 numbers in this group
MEDIAN
NOW, find the middle
The MEDIAN is 6
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8. Let’s find the median of this group of numbers
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6, 5, 5, 7, 1, 4, 10, 7,
FIRST, put the numbers into ORDER
Make sure you’ve got the right amount – there are 8 numbers in this group
What is the MEDIAN?
Add the middle two numbers:
5 + 6 = 11
NOW, find the middle
Divide by 2
The MEDIAN is 5 . 5
11 ÷ 2 = (or 5 ½)

9. Try these: click the mouse when you are ready to see the answer
Find the middle
Find the MEDIAN 3 5 5 5 5 6 8 9 10 10 12
5, 9, 5, 3, 10, 5, 8, 6, 5, 10, 12
median
Make sure you’ve got 11 numbers in your list
Put into order
Find the middle 1 2 4 5 6 7 9 9 10 11 42
5, 9, 7, 2, 1, 4, 9, 6, 11, 10, 42
median
Make sure you’ve got 11 numbers in your list
Put into order
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10. Mean It’s easy to work out First, add all the numbers together:-
Mean is another word for AVERAGE
It’s easy to work out
First, add all the numbers together:-
Then, divide by the number of items (the number of ‘numbers’!) 6 4 5 6 2 8 4
= 35
35 ÷ 7 = 5
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5 is the MEAN

11. Mean First, add all the numbers together:-
Try this one – find the MEAN
First, add all the numbers together:-
Then, divide by the number of items (the number of ‘numbers’!) 8 4 20 8 2 8 4 2
= 56
56 ÷ 8 = 7
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7 is the MEAN

12. Find the MEAN of these numbers:-
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Find the MEAN of these numbers:-
10, 12, 3, 21, 4, 8, 12, 5, 9, 6
= 90
90 ÷ 10 = 9
The MEAN is 9
15, 22, 12, 9, 6, 10, 3
77 ÷ 7 = 11
= 77
The MEAN is 11
5, 7, 10, 3, 12, 6, 7, 19, 5, 1, 13
88 ÷ 11 = 8
= 88
The MEAN is 8
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13. 4 2 3 5 6 7 1 Questions on mode, median and mean
Find the MODE and MEDIAN shoe size of 15 children whose shoe sizes are:- 4 2 3 5 6 7 1
Don’t forget – put the numbers in ascending order
Check you have 15 numbers
The MODE is 4
4 occurs most often
The MEDIAN is 4
4 is the middle number
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14. 4 2 3 5 7 8 1 Questions on mode, median and mean
Find the Mean shoe size of 15 children whose shoe sizes are:- 4 2 3 5 7 8 1
Don’t forget – add all the shoe sizes together
Divide by the number of children
= 60
60 ÷ 15 = 4
The MEAN shoe size is 4
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15. Questions on mode, median and mean
Find the MODE, MEDIAN and MEAN of the following data:
Put in order; check you have 11 numbers
MEDIAN is 7
MODE is 0
MEAN: add all the numbers together
divide by number of items (11)
= 77
77 ÷ 11 = 7
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The MEAN is 7
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16. Questions on mode, median and mean
Find the MODE, MEDIAN and MEAN of the following data:
Put in order; check you have 9 numbers
MEDIAN is 11
MODE is 10
MEAN: add all the numbers together
divide by number of items (9)
= 108
108 ÷ 9 = 12
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The MEAN is 12
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17. Questions on mode, median and mean
Find the MODE, MEDIAN and MEAN of the following data:
Put in order; check you have 10 numbers
MEDIAN is
(8 + 10)÷ 2 = 9
MODE is 13
MEAN: add all the numbers together
divide by number of items (10)
= 90
90 ÷ 10 = 9
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The MEAN is 9
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18. The number of absences for each pupil in a class of 25 is shown in the table below.1 5 18 3 2 4 20 24
Calculate the MEAN number of absences per pupil
b. Find the MEDIAN number of absences per pupil
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19. a. Calculate the MEAN number of absences per pupil1 5 18 3 2 4 20 24
First, add together all the absences
Then, divide by the number of pupils (25)
= 102
It’s really important to include the 0s because you must count them in your total number of pupils
102 ÷ 25 = 4.08
The MEAN number of absences per pupil is 4·08
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20. b. Find the MEDIAN number of absences per pupil
First, put all the absences in order
Absences 1 5 18 3 2 4 20 24
Then, check that you have 25 numbers!
Now, find the middle number
median
The MEDIAN number of absences is 2
END