Transcript Mean, Median, Mode and Range - Mr. K`s Virtual World of Math

10 – 3 Data Distribution
Mean, Median, Mode and
Range
The Basics of Statistics
Mr. K
Did You Know…
That you
probably use
statistics such
as mean,
median, mode
and range
almost every
day without
even realizing
Today We Will Learn…
Mean 

Median 

Mode 
Range 
Measures
of
Central
Tendency
And how to use these in everyday
life, as well as the classroom!
To Help You Learn…
You should have a
pencil, a piece of
paper, and a
calculator if you
need one.
What Do We Already Know?
Sure, the words “Mean, Median, Mode
and Range” all sound confusing…
But what about the words we already
know, like “Average, Middle, Most
Frequent, and Difference”?
They are all the same ideas!
Ready to Play
Click on image
Directions: Use the clicker to match each word in the
left column with the correct statistics term on the right.
Match
1. Average
A. Mode
2. Middle
B. Range
3. Most Frequent
C. Median
4. Difference
D. Mean
Question 1
The following table shows the prices of six laptop computer models.
Laptop Prices
Laptop Model
Retail Price
PV 8500
$999.99
PV 8200
$899.99
PV 7800
$879.99
PV 7400
$849.99
PV 6900
$849.99
PV 6800
$749.99
Which statistical measurement does not increase when a new laptop model
that retails for $1,399.99 is added to the table?
F. Mode
G. Mean
H. Median
J. Range
Question 2
The prices, in dollars, of the cars sold by a used car salesperson one week are
shown below.
4300, 5400, 3200, 6200, 5400, 5500, 6400
The price of the next car sold by the salesperson was $14,000.
Which measure will have the greatest
change when the price of the last car
sold is included in the list?
A. Mean
B. Median
C. Mode
D. Range
Box-and-Whisker Plots
Step 1 – Order Numbers
1. Order the set of numbers from least to greatest
Step 2 – Find the Median
Find the median. The median is the middle
number. If the data has two middle numbers,
find the mean of the two numbers. What is the
median?
Step 3 – Upper & Lower Quartiles
Find the lower and upper medians or
quartiles. These are the middle numbers on
each side of the median. What are they?
Step 4 – Draw a Number Line
Now you are ready to construct the actual
box & whisker graph. First you will need to
draw an ordinary number line that extends
far enough in both directions to include all
the numbers in your data:
Step 5 – Draw the Parts
Locate the main median 12 using
a vertical line just above your
number line:
Step 5 – Draw the Parts
Locate the lower median 8.5
and the upper median 14 with
similar vertical lines:
Step 5 – Draw the Parts
Next, draw a box using the
lower and upper median lines
as endpoints:
Step 5 – Draw the Parts
Finally, the whiskers extend out
to the data's smallest number 5
and largest number 20:
Step 6 - Label the Parts of a
Minimum Box-and-Whisker Plot Maximum
Median
Lower Median
Upper
1
3
Median
(1 Quartile)
2
(Lowest Value)
4
(Highest Value)
st
5
(3rd Quartile)
Name the parts of a Box-and-Whisker Plot
Homework
PG. 690, 2 – 10 EVEN
PG. 697, 2 – 28 EVEN