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The MODE
Of
A Set Of Numbers

IS THE ONE
WHICH

OCCURS MOST OFTEN
 
MODE
One which occurs most often

If numbers not in order
Put them in order

After numbers in order
Check all there

A set of numbers may be called
a set of data or a DATA SET

If all numbers occur once
There is no mode

If all numbers occur twice
There is no mode

If all numbers occurs equally
There is no mode

IF
more than one number
occurs most
THEN
there is more than one mode

IF
two numbers occur most
THEN
the data set is
BIMODAL
DIAGRAM ON EXTERNAL LINK Here

IF
three numbers occur most
THEN
the data set is
TRIMODAL

IF
more than one number
occurs most
THEN
the general name given
to such data sets is
MULTIMODAL

 Mode of
 1 2 3 4 4 4

 Mode of
 1 2 3 3 4 5 6

 Mode of
 3 4 4 5 6 7 7 7 8


QUESTION
What is the mode of the following set of numbers
2   2   3   3   3   4
 
THE MODE IS THE ONE
WHICH OCCURS MOST OFTEN

Example (1)
3, 4, 4
The number which occurs most often is 4
The mode is 4

Example (2)
3, 4, 6, 6, 9
The number which occurs most often is 6
The mode is 6

Example (3)
1, 2, 4, 5, 5, 5, 6, 8, 8
5 occurs three times
8 occurs twice
The number which occurs most often is 5
The mode is 5
 
       
       
       
 Mode of
 2 3 1 3

 Mode of
 2 5 4 5 7

 Mode of
 11 9 25 9 5 29

 

IF
the numbers are not in order
THEN
easier if you put them in order

WHEN
you put numbers in order
CHECK
that there as many as before
 
       
       
       
       
 Mode of
 2 3 1

 Mode of
 1 2 1 2

 Mode of
 1 2 3 1 2 3 1 2 3

 

IF
all numbers occur once
THEN
there is no mode
Example 2 4 6 8
There is no mode
if all numbers occur an equal number of times


IF all numbers occur twice
THEN there is no mode
Example 1 1 2 2 3 3
There is no mode
if all numbers occur an equal number of times

IF all numbers occur thrice
THEN there is no mode
Example 10 10 10 20 20 20 30 30 30
There is no mode
if all numbers occur an equal number of times

WHICH OF THE FOLLOWING IS CORRECT?
1   2   3   4   5

 






Created and Edited by Dr David Cornelius an Independent Private Maths Tutor with over 25 years of experience and The Secretary of The Association of Tutors in the UK for 15 years
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