Transcript Mean, Median, Mode and Range

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
Mean
Finding the mean is like evening
out the numbers.
2, 5, 2, 1, 5
Mean
Finding the mean is like evening
out the numbers.
2, 5, 2, 1, 5
Mean
Finding the mean is like 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
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.
# of addends
16
6) 96
6
36
36
sum
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, 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
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
median
23
2) 46
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, 12, 13, 22, 23, 24
What is the Mode of a group of
numbers?
Step 2 – Find the number that occurs the most
often.
12, 12, 12, 13, 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?
The Mode is 15.
14, 15, 12, 11, 24, 15, 23
What is the Mode of this group of
numbers?
The Mode is 35.
35, 21, 56, 35, 23, 14, 12
What is the Mode of this group of
numbers?
There is no number that occurs more
than once.
16, 12, 18, 29, 36, 11, 10
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, 13
Range
= __
12
13-1=
How to Find the Range 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 Range in a
Group of Numbers
• Step – Find the lowest and highest numbers.
18, 19, 21, 24, 27
How to Find the Range in a
Group of Numbers
• Step 3 – subtract the lowest number from the
highest number.
18
27, 19,
– 1821,= 24,
___27
The Range is 9.
What is the range?
29, 8, 4, 8, 19
4, 8, 8, 19, 29
29 – 4 = 25
range
What is the range?
22, 21, 27, 31, 21, 32
21, 21, 22, 27, 31, 32
32 – 21 = 11
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
3, 6, 4, 2, 7, 1, 8, 3, 5
Hint: Put the numbers in order from least to
greatest before you begin.
MeanMedian-
ModeRange-