mode mode mode mode = the item that appears most often - the most common number in this group of...
TRANSCRIPT
MODEMODE
ModeMode = the item that appears most often
- the most common number
In this group of fruit
APPLES are the MODE.
There are more apples
than any other fruit.
In this transport survey
CARS are the MODE.
There are more cars than
any other vehicle
2, 3, 6, 4, 2, 2, 3, 6, 5In this group of numbers
2 is the MODE.
2 appears more than any
other number
Click mouse
MODEMODE - continued
What is the modemode in each of the following? :-
10, 11, 10, 8, 5, 8, 10, 8, 6, 7, 8, 8, 9, 12
Click the mouse when you want to see each answer
810, 11, 10, 8, 5, 8, 10, 8, 6, 7, 8, 8, 9, 12
20, 20, 22, 25, 40, 13, 20, 21, 22, 20, 40, 2020, 20, 22, 25, 40, 13, 20, 21, 22, 20, 40,
2, 4, 8, 2, 3, 3, 3, 2, 4, 4, 2, 2, 2, 9, 5, 2, 4 22, 4, 8, 2, 3, 3, 3, 2, 4, 4, 2, 2, 2, 9, 5, 2, 4
102, 105, 120, 102, 103, 104, 166, 124, 132 102102, 105, 120, 102, 103, 104, 166, 124, 132
65, 61, 67, 66, 67, 66, 61, 66, 64, 66, 67, 65 6665, 61, 67, 66, 67, 66, 61, 66, 64, 66, 67, 65
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MedianMedian
The value of the middle number when they are arranged in order
First, put the numbers into order:-10, 5, 2, 1, 8, 7, 6
1 10 8 2 5 6 7
Now find the number that is in the middle
middle
6 is the MEDIANMEDIANClick mouse
MedianMedian
The value of the middle number when they are arranged in order
First, put the numbers into order:-4, 19, 3, 22, 15, 1, 9
1 22 19 3 4 9 15
Now find the number that is in the middle
middle
9 is the MEDIANMEDIANClick mouse
Median - continued
Find the MEDIANMEDIAN in the following:-
Click the mouse to see the answers
4, 9, 5, 2, 3, 10, 1 1 2 3 4 5 9 10
medianmedian
22, 16, 5, 29, 32, 10, 1 1 5 10 16 22 29 32
medianmedian
2, 6, 15, 24, 32, 10, 9 2 6 9 10 15 24 32
medianmedian
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Now that you’ve got the idea of MEDIANMEDIAN there’s just one more thing to remember!
If there are an EVEN amount of numbers you can’t find the middle straight away……
4 6 7 9 12 15
What’s the middle number?
To find the medianmedian ADD the two middle numbers together, then DIVIDE by 2.
7 + 9 = 16 16÷ 2 = 8
So, the MEDIANMEDIAN is 8Click mouse for more
4 6 7 9 12 15
Click mouse
Let’s find the medianmedian of this group of numbers
6, 5, 5, 7, 1, 4, 10, 7, 8
FIRST, put the numbers into ORDER
1 4 5 5 6 7 7 8 10
Make sure you’ve got the right amount – there are 9 numbers in this group
NOW, find the middle
MEDIANMEDIAN
The MEDIANMEDIAN is 6Click mouse for more Click mouse
Let’s find the medianmedian of this group of numbers
6, 5, 5, 7, 1, 4, 10, 7,
FIRST, put the numbers into ORDER
1 4 5 5 6 7 7 10
Make sure you’ve got the right amount – there are 8 numbers in this group
NOW, find the middle
What is the MEDIANMEDIAN? Add the middle two numbers:
The MEDIANMEDIAN is 5 . 5
5 + 6 = 11
Divide by 2
11 ÷ 2 = 5 . 5 (or 5 ½)
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Try these: click the mouse when you are ready to see the answer
Find the MEDIANMEDIAN
5, 9, 5, 3, 10, 5, 8, 6, 5, 10, 12
3 55 55 6 8 9 1010 12
medimedianan
Put into order
Make sure you’ve got 11 numbers in your list
Find the middle
5, 9, 7, 2, 1, 4, 9, 6, 11, 10, 42
1 42 65 7 9 10 42
Put into order
Make sure you’ve got 11 numbers in your list
Find the middle
9 11
medimedianan
Click mouse
MeanMean
MeanMean is another word for AVERAGE
First, add all the numbers together:-
It’s easy to work out
6 4 8 4 5 6 2
Then, divide by the number of items (the number of ‘numbers’!)
5 is the MEANMEAN
6 + 4 + 5 + 6 + 2 + 8 + 4 = 35
1 2 3 4 5 6 7
35 ÷ 7 = 5
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MeanMean Try this one – find the MEANMEAN
First, add all the numbers together:-
8 4 8 4 20 8 2
Then, divide by the number of items (the number of ‘numbers’!)
7 is the MEANMEAN
8 + 4 + 20 + 8 + 2 + 8 + 4 + 2 = 56
1 2 3 4 5 6 7 8
56 ÷ 8 = 7
2
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Find the MEANMEAN of these numbers:-
Click the mouse for help / answers
10, 12, 3, 21, 4, 8, 12, 5, 9, 6
10 + 12 + 3 + 21 + 4 + 8 + 12 + 5 + 9 + 6 = 90
1 2 3 4 5 6 7 8 9 10
90 ÷ 10 = 9
The MEANMEAN is 915, 22, 12, 9, 6, 10, 315 + 22 + 12 + 9 + 6 + 10 + 3 = 77
1 2 3 4 5 6 7 77 ÷ 7 = 11
The MEANMEAN is 115, 7, 10, 3, 12, 6, 7, 19, 5, 1, 13
5 + 7 + 10 + 3 + 12 + 6 + 7 + 19 + 5 + 1 + 13 = 88
1 2 3 4 5 6 7 8 9 10 11 88 ÷ 11 = 8
The MEANMEAN is 8
Click the mouse for help / answersClick the mouse for help / answersClick the mouse for help / answers
Click mouse
Questions on mode, median and mean
Find the MODEMODE and MEDIANMEDIAN shoe size of 15 children whose shoe sizes are:-
4 2 3 4 4
5 3 6 3 7
5 4 4 3 1
Click mouse for help / answer
Don’t forget – put the numbers in ascending order
1 2 3 3 3 3 4 4 4 4 4 5 5 6 7Check you have 15 numbers
The MODEMODE is 4 4 occurs most often
1 2 3 3 3 3 4 4 4 4 4 5 5 6 7
The MEDIANMEDIAN is 44 is the middle number
Click mouse for moreClick mouse for more
Questions on mode, median and mean
Find the MeanMean shoe size of 15 children whose shoe sizes are:-
4 2 3 4 4
5 3 7 3 8
5 4 4 3 1
Click mouse for help / answer
Don’t forget – add all the shoe sizes together
Divide by the number of children
60 ÷ 15 = 4
4 + 2 + 3 + 4 + 4 + 5 + 3 + 7 + 3 + 8 + 5 + 4 + 4 + 3 + 1 = 60
The MEANMEAN shoe size is 4 Click mouse for moreClick mouse for more
Questions on mode, median and mean
Find the MODE, MEDIANMODE, MEDIAN and MEANMEAN of the following data:
17 13 11 9 7 10 0 0 1 3 6
Click mouse for help / answer
Put in order; check you have 11 numbers
MODE MODE is 0
0 0 1 3 6 7 9 10 11 13 17 0 0 1 3 6 7 9 10 11 13 17
MEDIAMEDIANN is 7
MEANMEAN: add all the numbers together
divide by number of items (11)
0 + 0 + 1 + 3 + 6 + 7 + 9 + 10 + 11 + 13 + 17 = 77
77 ÷ 11 = 7
The MEANMEAN is 7
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Questions on mode, median and mean
Find the MODE, MEDIANMODE, MEDIAN and MEAN of the following data:
14 15 11 12 10 11 10 10 15
Click mouse for help / answer
Put in order; check you have 9 numbers
MODEMODE is 10
10 10 10 11 11 12 14 15 15 10 10 10 11 11 12 14 15 15
MEDIAMEDIANN is 11
MEANMEAN: add all the numbers together
divide by number of items (9)
10 + 10 + 10 + 11 + 11 + 12+ 14 + 15 + 15 = 108
108 ÷ 9 = 12
The MEANMEAN is 12
Click mouse
Questions on mode, median and mean
Find the MODE, MEDIANMODE, MEDIAN and MEANMEAN of the following data:
17 13 1 3 10 6 11 13 8 7
Click mouse for help / answer
Put in order; check you have 10 numbers
MODEMODE is 13
1 3 6 7 8 10 11 13 13 17 1 3 6 7 8 10 11 13 13 17
MEDIANMEDIAN is
(8 + 10)÷ 2 = 9
MEANMEAN: add all the numbers together
divide by number of items (10)
1 + 3 + 6 + 7 + 8 + 10 + 11 + 13 + 13 + 17 = 90
90 ÷ 10 = 9
The MEANMEAN is 9
Click mouse
The number of absences for each pupil in a class of 25 is shown in the table below.
Absences
0 1 0 0 5
18 3 2 2 3
0 0 1 1 4
3 2 5 20 0
1 2 24 2 3
a. Calculate the MEANMEAN number of absences per pupil
b. Find the MEDIANMEDIAN number of absences per pupil
Click mouse for help on next page
Absences
0 1 0 0 5
18 3 2 2 3
0 0 1 1 4
3 2 5 20 0
1 2 24 2 3
a. Calculate the MEANMEAN number of absences per pupil
First, add together all the absences
0 + 1 + 0 + 0 + 5 + 18 + 3 + 2 + 2 + 3 + 0 + 0 + 1 + 1 + 4 + 3 + 2 + 5 + 20 + 0 + 1 + 2 + 24 + 2 + 3= 102
Then, divide by the number of pupils (25)
102 ÷ 25 = 4.08
The MEANMEAN number of absences per pupil is 4·08
It’s really important to include the 0s because you must count them in your total number of pupils
Click mouse for next page
Absences
0 1 0 0 5
18 3 2 2 3
0 0 1 1 4
3 2 5 20 0
1 2 24 2 3
b. Find the MEDIANMEDIAN number of absences per pupil
First, put all the absences in order
0 0 0 0 0 0 1 1 1 1 2 2 2 2 2 3 3 3 3 4 5 5 18 20 24
Then, check that you have 25 numbers!
The MEDIANMEDIAN number of absences is 2
Now, find the middle number
0 0 0 0 0 0 1 1 1 1 2 2 2 2 2 3 3 3 3 4 5 5 18 20 24
0 0 0 0 0 0 1 1 1 1 2 2 2 2 2 3 3 3 3 4 5 5 18 20 24
0 0 0 0 0 0 1 1 1 1 2 2 2 2 2 3 3 3 3 4 5 5 18 20 24
0 0 0 0 0 0 1 1 1 1 2 2 2 2 2 3 3 3 3 4 5 5 18 20 24
0 0 0 0 0 0 1 1 1 1 2 2 2 2 2 3 3 3 3 4 5 5 18 20 24
0 0 0 0 0 0 1 1 1 1 2 2 2 2 2 3 3 3 3 4 5 5 18 20 24
0 0 0 0 0 0 1 1 1 1 2 2 2 2 2 3 3 3 3 4 5 5 18 20 24
0 0 0 0 0 0 1 1 1 1 2 2 2 2 2 3 3 3 3 4 5 5 18 20 24
0 0 0 0 0 0 1 1 1 1 2 2 2 2 2 3 3 3 3 4 5 5 18 20 24
0 0 0 0 0 0 1 1 1 1 2 2 2 2 2 3 3 3 3 4 5 5 18 20 24
0 0 0 0 0 0 1 1 1 1 2 2 2 2 2 3 3 3 3 4 5 5 18 20 24
0 0 0 0 0 0 1 1 1 1 2 2 2 2 2 3 3 3 3 4 5 5 18 20 24
0 0 0 0 0 0 1 1 1 1 2 2 2 2 2 3 3 3 3 4 5 5 18 20 24
0 0 0 0 0 0 1 1 1 1 2 2 2 2 2 3 3 3 3 4 5 5 18 20 24
mediamediann
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