1. Visualization of Data
Lesson 1.2

2. One-Variable Data Data in the form of a list
Example, a list of test scores {78, 85, 93, 67, 51, 98, 88}
Possible to graph the data on a number line
Calculations on the data
Maximum, minimum
Arithmetic mean
Median
Range • • • • • • •

3. One-Variable Data Arithmetic mean Range Median  the middle score
If an even number of scores, the average of the middle two scores
Find mean, range, and median for {78, 85, 93, 67, 51, 98, 88}

4. Note how the word "range" has different meaning for two variable data
When you have a set of ordered pairs
Also considered a relation { (1, 75), (2, 78.3), (3, 72.4), (4, 76.1), (5, 77), (6, 75.2), (7, 78) }
Domain
All the first elements, the independent variable
Range
All the second elements, the dependent variable
Year 1 2 3 4 5 6 7
Avg. Temp 75
78.3
72.4
76.1 77
75.2 78
Note how the word "range" has different meaning for two variable data

5. This graph is referred to as a scatter plot
Two Variable Data
The data may be graphed
First elements are x-values
Second elements are y-values
This graph is referred to as a scatter plot

6. Two Variable Data Line Graph Discuss the meaning of the graph
Why does a graph tell you more than the table of values?

7. The Distance Formula
Finding the distance between two points on the graph
Use the ordered pairs in the Pythagorean formula

8. Use a decimal point to force an approximate answer
Distance Formula
Use the calculator to define a function
Calling the function
Use a decimal point to force an approximate answer

9. Assignment
Lesson 1.2A
Page 22
Exercises 1 – 27 odd

10. Visualizing Data with the Calculator
Press the APPS button
Choose 6 Data/Matrix and NEW

11. Starting Up
Choose DATA
Give it a variable name for saving in memory

12. Entering Data Enter numeric values in the cells
Enter a formula at the top, using column name
Note that this often constitutes a function
Cursor must be here

13. Viewing Data Note the results of the formula
We can do further calculations
We can also plot these points

14. Plotting Data Choose F2 for Plot Setup Screen Then F1 for Define
Choose line type
Specify the columns for x and y

15. Plotting Data Go to the Y= Screen to turn off any functions there
Then specify ZoomData
This fits the window to the limits of the data

16. Plotting Data
Note the graph includes the points we had in the data matrix
It is a line-graph, the points are represented by boxes

17. Assignment
Lesson 1.2B
Page 23
Exercises 29 – 55 Odd