Mean, Median
and Mode
Mean, Median, and Mode
Measures of Central
Tendency
Mean, Median
and Mode
What is the mean?
Mean, Median, and Mode
The SUM of the data, divided by the
number of items in the set of data …..
commonly called “the average”.
Mean, Median
and Mode
What is the mode?
Mean, Median, and Mode
The data item that appears the
“MOST”
Mean, Median
and Mode
What if the data all appear the same
number of times?
Mean, Median, and Mode
1,1,2,2,3,3,4,4
1,1,2,2,3,3,4,4
Mean, Median, and Mode
There is NO mode
Can there be more than one mode?
1,2,2,3,4,4,5,6,7
Mean, Median, and Mode
1,2,2,3,4,4,5,6,7
Yes, there are two modes.
What are they?
Mean, Median, and Mode
2 and 4
Mean, Median
and Mode
What is the median?
Mean, Median, and Mode
What is the median?
The middle number in the set of
data when written “in order” (first
step we do)
Given: 2,14,28,0,1,1
Mean, Median, and Mode
Reorder from least to greatest
0,1,1,14,28
The middle number is 1
What if you have an
even set of numbers?
Given: 10, 0, 20, 30
Reorder from least to greatest
0,10,
20,
30
Mean, Median, and Mode
Add the two middle numbers
together.
Divide by 2. What is your median?
15
Mean, Median
and Mode
Which will an
outlier affect
the most: the
mean,
median or
What is an outlier?
mode? (Hint:
Think of class
Mean, Median, and Mode
test scores
A data item that is far apart from
the rest of the data items
Mean, Median
and Mode
What is the range?
Mean, Median, and Mode
The difference between the
largest and smallest data values
Mean, Median
and Mode
Let’s try one …
Step 1 –
Rewrite in
order from
least to
greatest
Mean, Median, and Mode
2, 1, 0, 1, 5, 3, 4, 2, 0, 3, 1, 2
Mean, Median and Mode
Mean 2
Median 2
Range 5
Mode 1 and 2
Mean, Median, and Mode
2, 1, 0, 1, 5, 3, 4, 2, 0, 3, 1, 2
Mean, Median and Mode
Test scores in an Algebra class:
99, 85, 80, 25, 99, 100
What is the mean, median, mode
and range?
Mean, Median, and Mode
Mean 81.3 Median 92
Mode 99 Range 75
Mean, Median and Mode
Write a paragraph about what
would be your most useful
indicator of central tendency in
this case: You are ordering a
small Mean,
number
of
shoes
for
your
Median, and Mode
shoe store based on the sales of
sizes from last year. Write why
you made your selection. Why
did you not choose the other