Module #14 of 15 Mean, Median, Mode, Range Grade 6 Math

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Module #14 of 15
Mean, Median, Mode, Range
Grade 6 Math
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Math Dragon Presents
“Mean, Median, Mode, Range”

Mean, Median, Mode,
Range
Mean
= Average
Median = Middle
Mode
= Most
Range = Biggest – Smallest
Hints: Median and
Middle both have a d
in the middle. Mode
and Most both have
four letters.

Mean
Mean is the average. To find the mean: add all the numbers in the data set and
divide by how many numbers there are.
15, 7, 9, 10, 9, 13, 7
15
7
9
10
7
9
13
7
The mean is 10.
70
7
10
To find the mean you
don’t have to put the
numbers in order but if
you are going to continue
to use the data set you
should do that first.

Median
The median is the middle number in a set of data. The data MUST be in order
before you find the median.
Example 1:
Find the median.
15, 7, 9, 10, 9, 13, 7
First, put the numbers in order: 7, 7, 9, 9, 10, 13, 15
Now find the number in the middle
The median is 9.
If you order the numbers
from least to greatest or
greatest to least, the
same numbers will be in
the middle.

Median
The median is the middle number in a set of data. The data MUST be in order
before you find the median.
Example 2:
Find the median.
21, 18, 16, 8, 23, 20
First, put the numbers in order: 8, 16, 18, 20, 21, 23
Now find the number in the middle.
In this problem, there are two
numbers in the middle…to find the
median, you need to add them
together and divide by 2.
18
20
2
38
2
19
The median is 19.
If you order the numbers
from least to greatest or
greatest to least, the
same numbers will be in
the middle.

Mode
Mode is the number that happens the most in a set of data.
Example 1:
Find the mode in the following set of numbers:
13, 6, 24, 32, 24, 13, 24, 22, 24, 27
Look for the number that happened the most. The mode is 24.
Example 2:
Find the mode in the following set of numbers:
5, 3, 7, 1, 5, 11, 5, 8, 3, 12, 3
This data set has two modes: 3 and 5
because they both happened the most.
It is possible to have no
mode, one mode, or
more than one mode.
Example 3:
Find the mode in the following set of numbers:
7, 12, 8, 13, 6, 5, 9, 3
This data set has no mode.

Range
The range is the biggest number in a data set minus the smallest number.
Find the range of the following set of numbers:
13, 28, 17, 19, 21, 8, 16, 23
Put the numbers in order
to find the biggest and
the smallest.
8, 13, 16, 17, 19, 21, 23, 28
Subtract the biggest minus the smallest: 28 -8 = 20
Range is always the
biggest number in a
data set minus the
smallest.
So the range is 20.

Time to Practice!!!

Mean, Median, Mode,
Range
Mean, Median, Mode and Range are called Measure of Central Tendency
because they all measure “centers” of the data in different ways.
Find the mean, median, mode and range.
7, 21, 15, 16, 20, 15, 8, 10
When you start with a list of data, the first thing you should always do is
put the numbers in order
7, 8, 10, 15, 15, 16, 18, 21
Mean = Average
Median = Middle
Mode = Most
Range = Biggest - Smallest
Mean:
Median:
7
15
8
15
2
10
2
15
15
8
16
18
21
8
Mode: Range: 21 – 7 =
13.75, 15, 15, 14

Mean, Median, Mode,
Range
Find the mean, median, mode and range.
50, 46, 51, 51, 50, 50, 52
When you start with a list of data, the first thing you should always do is
put the numbers in order
Mean:
Median:
46
50
46, 50, 50, 50, 51, 51, 52
50
50
7
51
51
52
7
Mean = Average
Median = Middle
Mode = Most
Range = Biggest - Smallest
Mode:
Range: 52 - 46 =
50, 50, 50, 6

Lets see how much
you have learned!!!

Mean, Median, Mode,
Range
Find the mean, median, mode and range for the set of data.
31, 35, 29, 30, 34
Mean:
The first thing you
need to do is put the
numbers in order.
Median:
Mode:
Range:
Mean = Average
Median = Middle
Mode = Most
Range = Biggest - Smallest

Mean, Median, Mode,
Range
Find the mean, median, mode and range for the set of data.
5, 3, 2, 7, 5, 3, 4, 3
Mean:
The first thing you
need to do is put the
numbers in order.
Median:
Mode:
Range:
Mean = Average
Median = Middle
Mode = Most
Range = Biggest - Smallest

How will TAKS ask this problem?
The graph to the right shows the number
of years that 5 families have lived in a
neighborhood.
What is the mean number of
years these families have lived
in this neighborhood?
A 10 years
B 6 years
C 12 years
D 5 years
To find the mean, add all the
numbers together and divide by
how many there are…beware of
the extra trick in this problem
…each house represents 2 years.

Another TAKS type problem?
The Q & R Band performed concerts from 1992 to 2001. The table shows the
number of concerts the band performed each year.
Remember to put the numbers in
order first. If there are two
numbers in the middle then add
them together and divide by two.
What is the median of the
number of concerts?
A 162
B 170
C 180
D 172

Now you will create a
Problem of your own!!!

Create Your Own
• You are going to write your own question about
mean, median, mode and range.
• To find the answer you must have to use the
information we’ve learned in this section.
• Extra points can be earned by drawing a picture
to go with your problem.
• Finally, you need to explain what the correct
answer is and WHY?
• Remember what you learned and don’t be afraid
to take a math adventure like our Math Dragon!!

Your Problem

CONGRATULATIONS!!!
JOB WELL DONE, and we will see you again soon in
“Math Dragon’s
Math Adventure!!”