# Mean_ Median_ Mode_ and Range

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```					Warm Up
   Solve the following:

1) 7  4  3  8  5    27
2) 87  19     68
48
3)    
5
4) 9  7=
Warm Up
   Solve the following:

1) 7  4  3  8  5    27
2) 87  19     68
48
3)    
5
4) 9  7=   63
Mean, Median, Mode, and Range

Mr. Swaner
How we usually think of
“averages”
   In baseball there are batting averages
   Kobe Bryant averaged 29.2 points per game
in 2010
   The average weight of an adult male is 189.2
lbs
   The average life span of a human is 67.2
years
   There are many different types of average.
   Mean, median, and mode are all
measurements of average.
Definitions
   Mean:
   What we think of when we say average. Add up all the
numbers and divide by how many we added together.
   Median
   The middle number if they are lined up consecutively. (1, 1, 2,
3, 5, 6, 6,)
   Mode
   The number that occurs most often. There can be more than
one mode in a set, or no mode at all
   Range
   The difference between the highest value and the lowest
value. (Subtract them)
   Outlier
   A value much higher or much lower than the rest of the data
Mean
Example: Find the mean

5

4  7  6  2 1             20

divide by how many we added together.

20
     4     The mean of this data set is 4
5
Try it out
   Find the mean

2  3  4  2 1 5  3  4               24
24
 3          The mean of this data set is 3
8
Median
   Find the median (the middle)
   Remember, the numbers must be in order

1,3,5,7,8,9, 2, 4,9
Better?

1, 2,3, 4,5,7,8,9,9
The median of this set is 5
What if…….
   What if when I order the numbers from least
to greatest, cross them out and end up with 2
numbers in the middle??????????

2,3, 4,5,7,8,9,9
You have to find the mean of those two numbers
(The number perfectly between both of them)

12
5  7  12               6             The median of this
set of data is 6
2
Try it
Put them in order first
   Find the median
7,5,9, 4, 2,1,6,8
1, 2, 4,5,6,7,8,9
5  6  11            You could have used division,
or recognized that 5.5 is perfectly
between 5 and 6.
11
 5.5
2                  The median is 5.5
Mode
   The number in the set that appears most
often. (order does not matter.)

20, 22, 27, 22, 26, 20, 22,35
Mode
   The number in the set that appears most
often. (order does not matter.)

20, 22, 27, 22, 26, 20, 22,35
22 appears three times. That is more
often than any other number appears

The mode of this set is 22
But What if…….
   But what if more than just one number shows up
the most (they show up the same number of times)

56, 40, 42,56,58, 40
But What if…….
   But what if more than just one number shows up
the most (they show up the same number of times)

56, 40, 42, 56, 58, 40
Both 56 and 40 showed up twice. That
makes the mode BOTH 56 AND 40

If no number is duplicated then there is no mode
Try

   Find the mode:

100,122,97,122,115,97,98,100
Try

   Find the mode:

100,122, 97,122,115, 97,98,100
100, 122, and 97 all showed up twice.

The mode for this set of data is 97, 100, and 122.
Range
   Find the range (subtract the smallest number
from the largest number)

100,116, 230, 27,95,150, 25,174
Range
   Find the range (subtract the smallest number
from the largest number)

100,116, 230, 27,95,150, 25,174
biggest          smallest

230  25  205               The range is 205
Try
   Find the range

50, 27,12,33,19,84
50, 27,12,33,19,84

84 12  72
The range for this set is 72
Outlier
   Find the outlier

15, 22,34,172,12,18, 28
Outlier
   Find the outlier

15, 22,34,172,12,18, 28
Upper and Lower Extreme
   Just like they sound.
   The upper extreme is the largest number in the
data set
   The lower extreme is the………………?
Closure
   I am hiring new workers at my store. Before
you start, I will let you decide which method
you will use to determine your hourly wage.

   You can have the mean hourly wage, the
median hourly wage, or the mode hourly
wage of the current employees.

   Take out a sheet of paper and write your
chosen method.
Here are the current hourly
wages
   12, 15, 8, 8, 12, 35, 8,
   Get together with your partner, determine the
mean, median, mode, and range.
   What was the best choice?
   Mean = \$14 Median = \$12 Mode = \$8
   Why is the mean so much more?
Homework
   You are going to ask 10 people how many
slices of regular crust, regular sized pizza
they think they could eat if they were in a
pizza eating competition. You can ask
anyone you want. I just want you to record
the data in a table and bring it to class
tomorrow.

   Here is an example
Example

Male/Female   # of slices
1.
2.
3.
4.
5.
6.
7.
8.
9.
10.

```
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tang shuming