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Statistics Unit
Mean, Median and Mode
Objective: To use a single number (mean, median, mode)
to describe a set of data.
Important Terms:
Mean
Median
Mode
Range
Outlier
Calculator permitted
for "mean" problems
ES: Gather and Organize Data
Mean
Number of Books in Each Classroom
43,
32, 40, 36, 38, 42, 35
Find the mean number of books in each classroom.
Median
Find the median of the following data set:
Example 1: When there is an ODD number of numbers
Number
1
of Cousins
2, 3, 6, 7, 6, 8, 9, 11, 20, 1, 3, 3, 18
Step one: List the numbers in order from least to greatest
Step two: Find the middle number
Example 2: When there is an EVEN number of numbers
Number
of Goals in One Season
20, 30, 21, 33, 26, 20, 30, 27, 28, 23, 21, 20
Step one: List the numbers in order from least to greatest
Step two: Find the two middle numbers
Step three: Find the average of the two middle numbers
ModeExample 1 :
Number of Stuffed Animals
2, 3, 6, 7, 6, 8, 3, 9, 11, 2, 1, 3, 3, 8, 3
Which number occurred the most often?
Example 2:
1, 8, 3, 4, 4, 8, 5, 2, 1, 4, 8, 5, 4, 8
What is the mode of the data?
Example 3:
11, 15, 9, 12, 13, 18, 20
What is the mode?
Baseball Pennants Won as of October 2001
Team: Cardinals
Pennants:
Dodgers
15
Marlins
18
1
Giants
17
The range of the data is the difference between the greatest
value and the least value. What is the range?
Answer:
An outlier is an item that is way above and/or way below the
other values in the data set. What is the outlier?
Answer:
Important note: There doesn't have to be an outlier in every data
set.
Example 1: Find the mean, median and mode of the
following data set.
Grade:
4th
Final Average:
Mean:
Median:
Mode:
88
5th
90
6th
88
7th
8th
9th
10th
97
98
91
92
B. Analyzing a Line Plot
1.) Find the mean 2.) Find the median 3.) Find the mode -
4.) Find the range 5.) Is there an outlier?