Visualization of Data Lesson 1.2

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

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}

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 Avg. Temp Note how the word "range" has different meaning for two variable data

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

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

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

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

Midpoint Formula Finding the midpoint between two points on the graph Geogebra Demo

Assignment Lesson 1.2A Page 24 Exercises 1 – 45 EOO (every other odd)

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

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

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

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

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

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

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

Assignment Lesson 1.2B Page 26 Exercises 47 – 57 Odd 93 – 96 All