1|Marszalek – Science 7th & 8th grade – Making Graphs Creating Data Tables and Graphs How can you make sense of the data in a science experiment? The first step is to organize the data to help you understand them. Data tables and graphs are helpful tools for organizing data. • • • Data Tables: Read together as a class: You have gathered your materials and set up your experiment. But before you start, you need to plan a way to record what happens during the experiment. By creating a data table, you can record your observations and measurements in an orderly way. Why is it important to create a data table? Directions of making all graph: 1. 2. Now for bar and line graphs 3. 4. 5. Count 4 lines in from the left and draw a vertical, or y-axis (label) Count 4 lines up from the bottom and draw a horizontal, or x-axis (label lines) Write the names of the categories to be graphed along the x-axis. Include an overall label for the axis as well. For bar graphs only 6. 7. On graph paper: Put your first and last name, date, period on the top right hand corner. Place the title at the top middle of the paper. Label the vertical axis with the name of the responding and dependent variable. Include units of measurements. Then create a scale along the axis by marking off equally spaced numbers that cover the range of the data collected. Label the horizontal axis with the name of the manipulated and independent variable. For each category, draw a solid bar using the scale on the vertical axis to determine the height. Make all the bars the same width. For the line graphs only 6. Label the vertical axis with the name of the responding and dependent variable. Include units of measurements. Then create a scale along the axis by marking off equally spaced numbers that cover the range of the data collected. 7. Label the horizontal axis with the name of the manipulated and independent variable. Include units of measurements. Then create a scale along the axis by marking off equally spaced numbers that cover the range of the data collected. 1 2|Marszalek – Science 7th & 8th grade – Making Graphs Use the data of “Time spent on various activities in a week” Time Spent on Different Activities in a Week Days of the week Going to Classes Eating Meals Playing Soccer Watching Television Monday 6 2 2 0.5 Tuesday 6 1.5 1.5 1.5 Wednesday 6 2 1 2 Thursday 6 2 2 1.5 Friday 6 2 2 0.5 Saturday 0 2.5 2.5 1 Sunday 0 3 1 2 Total Hours Time Spent in Hours Time Spent on Different Activities in a Week 35 30 25 20 15 10 5 0 Going to Eating Meals Playing classes Soccer Type of Activity 2 Watching Television 3|Marszalek – Science 7th & 8th grade – Making Graphs Suppose, for example, that a scientist conducted an experiment to find out how many Calories people of different body masses burn while doing various activities. The data table shows the results. Calories Burned in 30 Minutes Body Mass Experiment 1: bicycling Experiment 2: Playing Basketball Experiment 3: Watching television 30 kg 60 Calories 120 Calories 21 Calories 40 kg 77 Calories 164 Calories 27 Calories 50 kg 95 Calories 206 Calories 33 Calories 60 kg 114 Calories 248 Calories 38 Calories • Calories Burned in 30 minutes 300 250 Calories Burned • Read together as a class Notice in this data table that the manipulated/independent variable (body mass) is the heading of one column. The responding variable (for Experiment 1, the number of Calories burned while bicycling) is the heading of the next column. Additional columns were added for related experiments. To compare how many calories a person burns doing various activities, you could create a bar graph. (copy in notes) A bar graph is used to display data in a number of separate, or distinct, categories. In this example, bicycling, playing basketball, and watching television are the three categories. 200 30 kg 150 40 kg 100 50 kg 50 60 kg 0 Bicycling Playing basket ball Activity 3 Watching T.V. 4|Marszalek – Science 7th & 8th grade – Making Graphs LINE Graphs: Read together as a class A line graph is used to display data that how one variable ( the responding/dependent variable) changes in response to another variable ( the manipulated variable). You can use a line graph when your manipulated/independent variable is continuous, that is, when there are other point between the ones that you tested. In this example, body mass is a continuous variable because there are other body masses between 30 and 40 kilograms (for example, 31 kilograms) Line graphs are powerful tools because they allow you to estimate values for conditions that you did not test in the experiment. For example, you can use the line graph to estimate that a 35kilogram person would burn 68 Calories while bicycling. Copy data into notes: Directions to making a line graph: Use the following data. Body Mass (kg) x-axis Calories Burned in 30 Minutes y-axis 30 60 40 77 50 95 60 114 X-axis vs. Leg Length (cm) Y-axis Time of 40 yard dash (sec) 24 9 31 9.2 37 11 38 10 39 8.2 42 8.4 51 8.1 55 9.3 62 9 71 10 4 5|Marszalek – Science 7th & 8th grade – Making Graphs Temperature (C’) Pressure (atmospheres) 31 1.8 27 1.6 26 1.4 22 1.2 19 1.0 17 0.9 14 0.9 14 0.8 11 0.7 Height (cm) Vertical Jump (cm) 59 12 60 17 61 16 62 24 65 21 65 35 67 27 68 36 71 31 74 11 5 6|Marszalek – Science 7th & 8th grade – Making Graphs Temperature (C’) Rain Fall(cm) 16 2 17 5 18 1 18 6 21 12 24 4 25 0 28 14 29 8 33 4 CIRCLE GRAPHS Circle graphs can only be used when you have data for all the categories that make up a given topic. A circle graph is sometimes called a pie chart. The pie represents the entire topic, while the slices represent the individual categories. The size of a slice indicates what percentage of the whole a particular category makes up. The data table below shows the results of a survey in which 24 teenagers were asked to identify their favorite sport. The data were then used to create the circle graph. Copy data into notes: Favorite Sports Sport Students Soccer 8 Basketball 6 Bicycling 6 Swimming 4 6 7|Marszalek – Science 7th & 8th grade – Making Graphs Copy and then follow directions 1. On graph paper: Put your full name, date, period on the top right hand corner. 2. Place the title at the top middle of the paper. 3. Fold graph paper into half vertically and then horizontally. Then place a dot at the center of the creases. 4. Place the protractor in the middle and then draw a circle. Then draw a line from the center point to the top of the circle. 5. Determine the size of each “slice” by setting up a proportion where x equals the number of degrees in a slice. (Note: a Circle contains 360 degrees.) For example, to find the number of degrees in the “soccer” slice, set up the following proportion: Students who prefer soccer Total number of students degrees in a circle = x_____ Total number of The “soccer” slice should contain 120 degrees. 6. Use a protractor to measure the angle of the first slice, using the line you drew to the top of the circle as the 0ᵒ line. Draw a line from the center of the circle to the edge for the angle you measured. 7. Continue around the circle by measuring the size of each slice with the protractor. Start measuring from the edge of the previous slice so the wedges do not overlap. When you are done, the entire circle should be filled in. 8. Determine the percentage of the whole circle that each slice represents. To do this, divide the number of degrees in a slice by the total number of degrees in a circle (360), and multiply by 100%. For the “soccer” slice, you can find the percentage as follows: 120 x 100% = 33.3% 360 9. Use a different color for each slice. Label each slice with the category and with the percentage of the whole it represents. Sport Students Degrees use protractor Soccer 8 8 𝑋 = 24 360 120 ∗ 360 100 = 33 Basketball 6 6 𝑋 = 24 360 90 ∗ 360 100 = 25 Bicycling 6 6 𝑋 = 24 360 90 ∗ 360 100 - 25 Swimming 4 4 𝑋 = 24 360 60 ∗ 360 100 = 17 7 Percents 8|Marszalek – Science 7th & 8th grade – Making Graphs Sports that Teens Prefer Swimming 17% Soccer 33% Basketball 25% Bicycling 25% In a class of 28 students, 12 students take the bus to school, 10 students walk, and 6 students ride their bicycles. Create a data table and a circle graph to display these data. In a class of 28 students, 12 students take the bus to school, 10 students walk, and 6 students ride their bicycles. Create a data table and a circle graph to display these data. Students Degrees use protractor Bus 12 12 𝑋 = 28 360 154 ∗ 360 100 = 43 Walk 10 10 𝑋 = 28 360 129 ∗ 360 100 = 36 Bicycling 6 6 𝑋 = 28 360 77 ∗ 360 100 = 21 Total student 28 8 Percents 9|Marszalek – Science 7th & 8th grade – Making Graphs Students bicycle 21% Bus 43% walk 36% 9