10 – 3 Data DistributionMean, 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 it?!?

Today We Will Learn…

Measures of Central Tendency

And how to use these in everyday life, as well as the classroom!

Mean

Median

Mode

Range

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

Match1. Average

2. Middle

3. Most Frequent

4. Difference

A. Mode

B. Range

C. Median

D. Mean

Directions: Use the clicker to match each word in the left column with the correct statistics term on the right.

The following table shows the prices of six laptop computer models.

Laptop Prices

Which statistical measurement does not increase when a new laptop model that retails for $1,399.99 is added to the table?

F. ModeG. MeanH. MedianJ. Range

Laptop Model Retail PricePV 8500 $999.99

PV 8200 $899.99

PV 7800 $879.99

PV 7400 $849.99

PV 6900 $849.99

PV 6800 $749.99

Question 1

The prices, in dollars, of the cars sold by a used car salesperson one week areshown 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 greatestchange when the price of the last carsold is included in the list?A. MeanB. MedianC. ModeD. Range

Question 2

Box-and-Whisker Plots

Step 1 – Order Numbers

1. Order the set of numbers from least to greatest

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 2 – Find the Median

Find the lower and upper medians or quartiles. These are the middle numbers on each side of the median. What are they?

Step 3 – Upper & Lower Quartiles

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 4 – Draw a Number Line

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 5 – Draw the Parts

Step 6 - Label the Parts of a Box-and-Whisker Plot

123 54

Name the parts of a Box-and-Whisker Plot

Median

Upper Median (3rd Quartile)

Lower Median (1st Quartile)

Minimum

(Lowest Value)

Maximum(Highest Value)

PG. 690, 2 – 10 EVENPG. 697, 2 – 28 EVEN

Homework