Transcript Mean Median Mode Range GLE – DP 2a 2b - Windsor C

Mean Median Mode Range
GLE – DP 2a 2b
Different representations using
Same information.
Measures of Center
Define
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Mean
Median
Mode
Range
Mean: The sum of all values divided
by the number of addends.
Median: the middle value when
values are written in numeric
order.
Mode: - in a data set the mode is the
value that occurs most often. A data set
can have no mode, one mode or more
than one mode
Range: - the difference between the greatest
value and the least value
What DO you do when someone asks you to find
the range, mean, median and mode of a set of
numbers?
A. I raise my hand and ask if I can go home now
B. I hide.
C. I get really quiet and hope the teacher doesn't
see me!
The answer is NONE OF THE ABOVE!
You simply follow these steps
to Success:
Step 1: Organize your data by
listing it from
the smallest to largest number!
For example, if your data set was
made up of the numbers
(4, 2, 1, 3, 5), you would list them
from smallest to largest as:
(1, 2, 3, 4, 5).
Step 2: Find the Range:
The range of the data set is the difference
between the largest and smallest number in the
set.
To find the range, you simply subtract the
smallest number from the largest number in the
set.
In our sample data set the largest
number is 5
and the smallest number is 1.
1, 2, 3, 4, 5)
5-1=4
The range of this set is 4.
1. Your data set is (3, 6, 2, 7, 1). What is the
range of this set of numbers?
2. Your data set is (24, 13, 67, 45, 78, 35)
3. 14, 8, 4, 21, 15, 10
Step 3: Find the Mean
The mean of the data set is its average.
To find the mean you add up all the numbers and
divide the answer by how many numbers you
have.
Try it! Add (1, 2, 3, 4, 5) on the calculator and then
divide the answer by 5. (The / key means divide.)
1. Your data set is (3, 6, 2, 7, 1).
What is the mean of this set of numbers?
2. Your data set is (24, 13, 67, 45, 78, 35)
3. 14, 8, 4, 21, 15, 10
Step 4: Find the Median:
The Median is the number which is in the
exact middle of the data set.
In our sample set (1, 2, 3, 4, 5), 3 is the
number which
is exactly in the middle, so 3 is the median of
this set
(1, 2, 3, 6, 7). What is the median of
this set of numbers?
2. Your data set is (13, 24, 45, 67, 78) What is the
median of this set of numbers?
3. Your data set is ( 4, 8, 10, 15, 21) What is the
median of this set of numbers?
4. Your data set is 1, 2, 5, 10, 39
Step 5: Find the Mode:
The Mode is the number that appears the most often
if you are working with only one variable.
We are working with one variable, a set of numbers.
To show how to figure out the mode, we need to change
our
sample set because each number only appears once in
it.
THE NEW SAMPLE SET: (2, 4, 4, 6, 8, 10).
4 appears more than any other number in this set so 4
is the mode of the set
1. Your data set is (4, 23, 5, 4, 7, 8).
What is the mode of this set of
numbers?
Your data set is
(13, 24, 10, 56, 13, 19)
(27, 12, 34, 21, 27, 34)
Mean median mode
interactive activity
Mean
Median
Mode
Range
I get it!!!
Homework
Page 103
# 12 #14 #16
#18 #19
Read pages 106-107