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 it?!?

Today We Will Learn… 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

Match  Average  Middle  Most Frequent  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 Mean, Median, and Mode Card Game Rules 1.Using only the ace through 10 cards, deal out 7 cards to each player. (Be sure there is a maximum of 4 players!) 2.Ask each player to arrange their cards in sequential order. 3.Aces count as the number 1. 4.Depending upon which game you want to play, follow the directions below: A. Finding the Mean Game. Each player finds the total value of the digits on their cards, then divides the total by 7 (the total number of cards) to find the mean, which represents their point value for that round. B. Finding the Median Game. Each player finds the median card in their hand and that number is their point value for that round. C. Finding the Mode Game. Each player finds the mode in their hand of cards, which represents their point value for that round. If there is no mode, then they don’t score any points in that round. However, if there are two modes (two numbers occur the same number of times), then the player snags the point values for both modes! D. Finding the Range Game. Each player finds the range of their hand and that number is the point value for that round. The winner of the game is the first person who scores 30 points.

Let the Game Begin!

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 $1, is added to the table? F. Mode G. Mean H. Median J. Range Laptop ModelRetail Price PV 8500$ PV 8200$ PV 7800$ PV 7400$ PV 6900$ PV 6800$ Question 1

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 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 Name the parts of a Box-and-Whisker Plot Median Upper Median (3 rd Quartile) Lower Median (1 st Quartile) Minimum (Lowest Value) Maximum (Highest Value)

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