Graphing and Analyzing Scientific Data Write the following heading in your notebook and answer the bell work question. “Graphing and Analyzing Scientific Data” 8/26/2015 Homework: Graphing and Analyzing Scientific Data Worksheet (if not finished during class) BW: Sketch an example of a line graph, bar graph, and pie graph.
Objectives I will learn about different ways to graphically represent data. I will also learn how to analyze these graphs for scientific data. I will show that I can graphically represent data by constructing my own graphs and using these graphs to analyze a set of given data.
Types of Graphs Pie/Circle Graphs Bar Graphs Line Graphs Used to show parts of a whole. Bar Graphs Used to compare amounts Line Graphs Used to show the change of one piece of information as it relates to another change.
Parts of a Graph Title Independent Variable Dependent Variable Scales Summarizes information bing represented in ANY graph. Independent Variable Variable controlled by the experimenter. Placed on X axis. Dependent Variable Variable directly affected by independent variable. Placed on Y axis. Scales Tells you where to plot data points. Legend Describes the graph’s data.
Variables any item, factor, or condition that can be controlled or changed looking for a cause and effect relationship
So then… x is the … y is the… m and b are… Together they show a… Independent variable Dependent variable Constants Relationship
y=mx+b Are there any restrictions on what x can be? What determines the value of y? What happens when I plug x into that equation? Do m and b change? What is the result if I plug several values for x into that equation?
Mean, Median, Mode Mean Median Mode Determined by adding all the numbers in a data set together and then dividing by the number of values. EX: 2 + 4 + 6 = 12/3 = 4 Median Middle number in a set of data. If there is an even set of numbers in the data, then take the average of the two middle numbers. EX: 2, 3, 4, 8, 12, 16, 20 median = 8 EX: 3, 5, 8, 11, 17, 19, 27, 30 median is 11 + 17 = 28/2 Mode The number that occurs most often in a data set. EX: 3, 4, 6, 6, 7, 9, 9, 9, 12, 12, 15 mode = 9
Extrapolate & Interpolate
What would you expect pay for 30 Kg? Interpreting data Extrapolate: extending the graph, along the same slope, above or below measured data. What would you expect pay for 30 Kg?
Interpreting data Interpolate: predicting data between two measured points on the graph
Best fit line