Creating a Data Table Choosing the Right Graph Creating A Graph Data Tables Data Tables organize the data collected from observations and experiments. They are useful because the information is organized. Growth of Plant Over One-Week Period Day of the Week Height in cm Monday Tuesday Wednesday Thursday Friday Saturday Sunday 5 7 9 12 16 21 29 Data Tables She begins her data table by creating columns for the data she intends to collect. She needs two columns because she will be recording time and temperature. In this experiment, Amy will be collecting data as she heats Liquid A. She will be recording the temperature once every minute for 5 minutes. Data Tables Amy labeled her columns with a word or phrase that describes the data. She included appropriate units. Now she is ready to record the data. She added a title that represents the data she will collect. Change in the Temperature of Liquid A Over a 5-Minute Period Time in Minutes 1 2 3 4 5 Temperature Degrees Celsius Data Tables Tables are perfect for recording data because they keep your data organized. However, in data tables, trends and patterns may not be so easily seen… Change in the Temperature of Liquid A Over A 5-Minute Period Here is Amy’s data. How easy is it to spot the trend in temperature? Time in Minutes 1 2 3 4 5 Temperature Degrees Celsius 5 23 42 48 50 Graphs Temperature Change of Liquid A Over 5 Minutes 60 de gr ee sc Degrees Celsius A graph, which is a picture of the data, allows a quick look at the data. Usually the trend is apparent to the viewer immediately. 50 40 30 20 10 0 1 2 3 4 Time in Minutes 5 Graphs A title describes the data that has been collected. Temperature Change of Liquid A Over 5 Minutes 60 de gr ee sc Degrees Celsius By looking at the axis labels, which name the variables in the experiment, you can see that the temperature increases as time goes by. Axis Labels 50 40 30 20 10 0 1 2 3 4 Time in Minutes 5 Choose the Right Graph Bar Graph There are three commonly used graphs: Line Graph Pie Graph - is used for comparing data such as: types of cars, Number of Cars A Bar Graph… 90 80 70 60 50 40 30 20 10 0 Make and Number of Cars Found In the Parking Lot Ford or colors of balloons at a party. Chevy Dodge Honda Make of Car Toyota Other -is used for seeing the changes over time such as: growth of a plant over six weeks, Height in Centimeters A Line Graph… Growth of Plant Over a Six-Week Period 60 50 40 30 20 10 0 1 or the number of boxes of cereal sold in a month. 2 3 Week 4 5 6 A Circle or Pie Graph… - is used for showing percentages such as parts of a whole. Examples might be the percentages of the different elements that make up our air, or the percentages of various types of items you buy with your allowance. Elements That Make Up Our Air Other 1% Oxygen 21% Nitrogen 78% Creating A Line or Bar Graph For line and bar graphs, you will have an x- and y-axis. y-axis The independent variable is graphed along the x-axis and the dependent variable is graphed along the y-axis. x-axis Remember: Type of Food The independent variable is the variable that gets tested. It is the variable that is chosen. Month Time Amount of Fertilizer Grade Level And… The dependent variable is the variable that reacts to the independent variable. It depends upon the independent variable . Temperature Growth of Plant Number of Students Preferring a Certain Food Number of Umbrellas Sold Percentage Taking Algebra Line Graph After you have identified the independent and dependent variables, you are ready to choose a scale for the x- and y-axes. In this experiment, the temperature was recorded each minute for 15 minutes. 60 50 40 30 The scale values are evenly spaced intervals and the chosen range is able to accommodate all of the data. 20 10 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 Line Graph 60 Degrees Celsius The scale chosen for time was 1-minute intervals. The scale chosen for temperature was 10-degree intervals. 50 40 30 20 10 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 Time in Minutes Axis labels are added to identify the variables. Line Graph An appropriate title completes the graph. A good title describes what is being displayed and should include both the independent and dependent variables. 50 Degrees Celsius These guidelines are also useful for creating bar graphs. Temperature Change of Liquid B Over a 15-Minute Period 60 40 30 20 10 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 Time in Minutes Bar Graph A scale of evenlyspaced intervals is used. Types and Numbers of Cars Found In the Parking Lot of Pike Middle School 90 Number of Cars The independent variable is displayed on the x-axis. 80 70 60 50 40 30 20 10 0 Ford Labels are in place and a descriptive title is added. Chevy Dodge Honda Make of Car Toyota Other Creating A Pie Graph Data converted to percentages can be shown on a pie, or circle graph. The whole circle is equal to 100%, so each slice of ‘pie’ varies in size according to the data, and corresponds to the percentage of the whole. The independent variable is what the pie represents, while the dependent variable is the size of each slice. Creating A Pie Graph A pie graph should have a title which describes the independent variable. Elements That Make Up Our Air Other 1% Oxygen 21% Nitrogen 78% Each slice of the pie should be labeled or color-coded so the dependent variables and their corresponding percentages can be identified. A Line Graph From Start To Finish George collected the mass of his pet frog every other day for 2 weeks. What is the independent variable in George’s activity? That’s right! The day of the week is the independent variable. George chose to take the mass every other day. He could have chosen every day, or once a week. A Line Graph From Start To Finish What is the dependent variable in George’s activity? Yes! The mass is the dependent variable. The mass depends on which day the frog is being weighed. A Line Graph From Start To Finish Before George begins taking data, he must prepare a data table to record his data. He draws a 2-column table. The left side is for the independent variable. The right-hand column is for the dependent variable. Day of the Week Monday Wednesday Friday Sunday Tuesday Thursday Saturday Monday Mass of Frog in grams Notice how the column labels include the units. A Line Graph From Start To Finish Now George is ready to weigh his frog and record the data. Mass of My Pet Frog Over a 2Week Period Day of the Week Mass of Frog in grams Monday Wednesday Friday Sunday Tuesday Thursday Saturday Monday 89 91 92 94 97 99 101 101 Here is George’s completed data table. Graphing From Start To Finish You can tell from the data table that the frog has gained mass in the 2-week period. But, the data will be more readily interpreted if we create a picture of the data. Mass of My Frog Over a 2-Week Period Day of the Week Monday Wednesday Friday Sunday Tuesday Thursday Saturday Monday Mass of Frog in grams 89 91 92 94 97 99 101 101 Graphing From Start To Finish George chose to create a line graph because the data changed over time. George planned to locate the day of the week (independent variable) on the x-axis and the mass of his frog (dependent variable) on the y-axis. Graphing From Start To Finish George chose an appropriate scale of 2-gram intervals for the y-axis. Notice the absence of 0-80 grams. It is acceptable to create a graph this way. 102 100 98 96 94 92 90 88 86 84 82 George plotted his points and connected them with a line. Graphing From Start To Finish George chose a title that describes his activity. Mass in Grams Mass of My Frog Over a 2-Week Period 102 100 98 96 94 92 90 88 86 84 82 He labeled his axes and included units. Day of the Week Review Choose an appropriate graph to display your data. Choose an appropriate scale with evenly-spaced intervals. Label the axes, include units, and create a title that is descriptive. Represent the independent variable on the x-axis ,and the dependent variable on the y-axis for line and bar graphs. Plot your points. If using a pie graph, use the independent variable in your title. Label all ‘slices’ with the dependent variable and the percentage.