Mean, median, mode and range

Mean, Median, Mode
& Range

By Monica Yuskaitis

Vocabulary Review
• Sum – the answer to an
addition problem.
• Addend – the numbers you
added together to get the
sum.
6 + 9 = 15
Copyright © 2000 by Monica Yuskaitis

Definition

Mean
Means
Average

Definition
• Mean – the average of a
group of numbers.

2, 5, 2, 1, 5
Mean = 3

Mean is found by evening out
the numbers
2, 5, 2, 1, 5


Mean is found by evening out
the numbers
2, 5, 2, 1, 5
mean = 3


How to Find the Mean of a
Group of Numbers
• Step 1 – Add all the numbers.

8, 10, 12, 18, 22, 26
8+10+12+18+22+26 = 96

Group of Numbers
• Step 2 – Divide the sum by
the number of addends.
8, 10, 12, 18, 22, 26
8+10+12+18+22+26 = 96
How many addends are there?

Group of Numbers
• Step 2 – Divide the sum by
the number of addends.
16
# of addends 6) 96 sum
6
36
36

Group of Numbers
The mean or average of these
numbers is 16.

8, 10, 12, 18, 22, 26


What is the mean of these
numbers?

7, 10, 16

11

numbers?

2, 9, 14, 27

13

numbers?

1, 2, 7, 11, 19

8

numbers?

26, 33, 41, 52

38

Definition

Median
is in the
Middle

Definition
• Median – the middle number
in a set of ordered numbers.

1, 3, 7, 10, 13
Median = 7

How to Find the Median in a
Group of Numbers
• Step 1 – Arrange the numbers
in order from least to greatest.
21, 18, 24, 19, 27
18, 19, 21, 24, 27

Group of Numbers
• Step 2 – Find the middle
number.
21, 18, 24, 19, 27
18, 19, 21, 24, 27

Group of Numbers
• Step 2 – Find the middle
number.

18, 19, 21, 24, 27
This is your median number.

Group of Numbers
• Step 3 – If there are two middle
numbers, find the mean of these
two numbers.

18, 19, 21, 25, 27, 28

Group of Numbers
• Step 3 – If there are two middle
numbers, find the mean of these
two numbers.
21+ 25 = 46
23 median
2) 46

What is the median of these
numbers?

16, 10, 7
7, 10, 16
10

numbers?

29, 8, 4, 11, 19
4, 8, 11, 19, 29
11

numbers?
31, 7, 2, 12, 14, 19
2, 7, 12, 14, 19, 31
13
12 + 14 = 26 2) 26

numbers?
53, 5, 81, 67, 25, 78
5, 25, 53, 67, 78, 81
60
53 + 67 = 120 2) 120

Definition

Mode
is the most
Popular

Definition
• A la mode – the most
popular or that which is in
fashion.

Baseball caps are a la mode today.

Definition
• Mode – the number that
appears most frequently in a
set of numbers.
1, 1, 3, 7, 10, 13
Mode = 1

How to Find the Mode in a
Group of Numbers
21, 18, 24, 19, 18
18, 18, 19, 21, 24

How to Find the Mode in a
Group of Numbers
• Step 2 – Find the number that
is repeated the most.
21, 18, 24, 19, 18
18, 18, 19, 21, 24

Which number is the mode?

29, 8, 4, 8, 19
4, 8, 8, 19, 29
8


1, 2, 2, 9, 9, 4, 9, 10
1, 2, 2, 4, 9, 9, 9, 10
9


22, 21, 27, 31, 21, 32
21, 21, 22, 27, 31, 32
21

Definition

Range
is the distance
Between

Definition
• Range – the difference between
the greatest and the least value
in a set of numbers.

1, 1, 3, 7, 10, 13
Range = 12

How to Find the Range in a
Group of Numbers
21, 18, 24, 19, 27
18, 19, 21, 24, 27

Group of Numbers
• Step 2 – Find the lowest and
highest numbers.
21, 18, 24, 19, 27
18, 19, 21, 24, 27

Group of Numbers
• Step 3 – Find the difference
between these 2 numbers.
18, 19, 21, 24, 27
27 – 18 = 9
The range is 9

What is the range?

29, 8, 4, 8, 19
4, 8, 8, 19, 29
29 – 4 = 25

What is the range?

22, 21, 27, 31, 21, 32
21, 21, 22, 27, 31, 32
32 – 21 = 11

What is the range?

31, 8, 3, 11, 19
3, 8, 11, 19, 31
31 – 3 = 28

What is the range?

23, 7, 9, 41, 19
7, 9, 23, 19, 41
41 – 7 = 34

Credits
•Clipart from ClickArt 125,000, T/Maker
Company of Broderbund Software, Inc.


Credits
• Clipart from ClickArt 125,000, T/Maker
Company of Broderbund Software, Inc.


Mean, median, mode and range

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