Post on 24-Dec-2015
Mean, Median, Mode and
Range
By Miss Setchell
Definitions
• Mean – Average• Median – Middle number• Mode – Number seen the most often• Range – Difference between the highest
and lowest number• Sum – The answer to an addition problem• Addend – The numbers you added together to
get the sum
MeanFinding the mean is like evening
out the numbers.
2, 5, 2, 1, 5
MeanFinding the mean is like evening
out the numbers.
2, 5, 2, 1, 5
MeanFinding the mean is like evening
out the numbers.
2, 5, 2, 1, 5mean = 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
How to Find the Mean of a 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?
How to Find the Mean of a Group of Numbers
• Step 2 – Divide the sum by the number of addends.
6)96 sum# of addends1
636
6
63
What is the Mean of this set of numbers?
The mean or average of these numbers is 14.
8, 10, 12, 18, 22, 26
What is the Mean of this set of numbers?
The mean or average of these numbers is 15.
9, 11, 13, 20, 24
Median
– the middle number in a set of ordered numbers.
1, 3, 7, 10, 13Median = 7Median = 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
How to Find the Median in a Group of Numbers
• Step 2 – Find the middle number.
21, 18, 24, 19, 27
18, 19, 21, 24, 27
How to Find the Median in a Group of Numbers
• Step 3 – If there are two middle numbers, find the mean of these two numbers.
18, 19, 21, 25, 27, 28
How to Find the Median in a Group of Numbers
• Step 3 – If there are two middle numbers, find the mean of these two numbers.
21+ 25 = 46
2) 46 23 median
What is the median of these numbers?
16, 10, 7
7, 10, 16
What is the median of these numbers?
18, 23, 8, 14, 6, 27
6, 8, 14, 18, 23, 27
Median is 16
What is the Mode of a group of numbers?
-The number that occurs the most often
22, 13, 24, 12, 12, 23, 12
What is the Mode of a group of numbers?
Step 1 – Put the numbers in order from least to greatest.
22, 13, 24, 12, 12, 23, 12
12, 12, 13,12, 22, 23, 24
What is the Mode of a group of numbers?
Step 2 – Find the number that occurs the most often.
12, 12, 13,12, 22, 23, 24
What is the Mode of a group of numbers?
- 12 is the number that occurs most often.
12, 12, 12,12
- 12 is the Mode.
What is the Mode of this group of numbers?
14, 15, 12, 11, 24, 15, 23
The Mode is 15.
What is the Mode of this group of numbers?
35, 21, 56, 35, 23, 14, 12
The Mode is 35.
What is the Mode of this group of numbers?
16, 12, 18, 29, 36, 11, 10
There is no number that occurs more than once.
So, there is no Mode for this group of numbers.
Range
– the difference between the greatest and the least value in a set of numbers.
1, 1, 3, 7, 10, 13Range = 12Range = 1213-1= __
How to Find the Range in a Group of Numbers
21, 18, 24, 19, 27
18, 19, 21, 24, 27
• Step 1 – Arrange the numbers in order from least to greatest.
How to Find the Range in a Group of Numbers
18, 19, 21, 24, 27
• Step – Find the lowest and highest numbers.
How to Find the Range in a Group of Numbers
, 19, 21, 24,
• Step 3 – subtract the lowest number from the highest number.
18 2727 – 18 = ___
The Range is 9.
What is the range?
29, 8, 4, 8, 19
29 – 4 = 25
4, 8, 8, 19, 29 range
What is the range?
22, 21, 27, 31, 21, 32
32 – 21 = 11
21, 21, 22, 27, 31, 32
range
Review
• Mean – Average• Median – Middle number• Mode – Number seen the most often• Range – Difference between the highest
and lowest number• Sum – The answer to an addition problem• Addend – The numbers you added
together to get the sum
Quiz
• Find the Mean, Median, Mode and Range of this group of numbers:
3, 6, 4, 2, 7, 1, 8, 3, 5
Mean-
Median-
Mode-
Range-
Hint: Put the numbers in order from least to greatest before you begin.
3, 6, 4, 2, 7, 1, 8, 3, 5