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Graphing - Pie Charts Page 1 of 3 Pie Chart Graphing Activity Pie charts paint a picture of relative size or portion. Consider a person who works at two jobs. She earns $500 per month working at a fast food restaurant and $500 working at a grocery store. ½ of her income or 50% comes from each source. A pie chart will shows this by picture. % = part x 100 whole part refers to what part of her income comes from each job whole refers to the total she earns from all her jobs % from fast food = $500 x 100 = 50% $1000 % from grocery store = $500 x 100 = 50% $1000 In the pie chart, the whole pie is 100%. Slices represent each portion. Sources of Income Grocery Store 50% Fast Food 50% Figure 1 Pie Chart Showing 50% or 1/2 A pie chart may have more than two slices. Consider this example. A group of friends go out to dinner. Four people order coke, three people order diet coke and five people order root beer. Find the percent of the people that order each beverage. Then make a pie chart. The total number of people is 12. % of people with coke = 4 x 100 = 33% 12 % of people with diet coke = 3 x 100 = 25% 12 % of people with root beer = 5 x 100 = 42% 12 Beverage Choices Root Beer 42% Coke 33% Diet Coke 25% Figure 2 Pie Chart Showing 1/4, 1/3 and 5/12 Copyright 2008 Russell W. Cramm Graphing - Pie Charts Page 2 of 3 The Pie Charts below how to divide the pie based on different percentages. Use the slice that matches the percentage that you calculate. 12.5% (one eighth), 25% (one quarter), 33% (one third), 50% (one half), 66% (two thirds), 75% (three fourths), 87.5% (seven eighths). One Eighth 13% One O ne F ou rth 25% Third 33% Two Thirds T hree F o urths 7 5% 67% Seven Eighths 87% Figures 3, 4 and 5 Pie Charts Showing 1/3 and 2/3, ¼ and ¾, and 1/8 and 7/8. Task 1. The atmosphere of the earth is about 80% nitrogen gas, N2, about 19% oxygen gas, O2 and about 1% other gases. For our purposes that means that air is about 4/5 nitrogen gas, just under 1/5 oxygen gas and a tiny sliver of other gases. Make a pie graph that shows this. Use the examples above to estimate the size of the slices of the pie for each portion. Label each slice, make a legend, and include a title. Task 2. Pure water is H2O. This means that there are two Hydrogen atoms and one Oxygen atom in each water molecule. When we measure by mass, or weight, there are 2 grams of Hydrogen for every 16 grams of Oxygen. Determine the total mass, then find the percent of hydrogen and the percent of oxygen. Finally make a pie chart showing the makeup of water, with labels, legend and title. Task 3. Collect information about students in your class. Complete the table of data. Count the number of students in your class. Count the number of male and female students. Determine the % of male and female students. Place your numbers in the sample setup and calculate the %’s. Use a calculator. % of male students = (# of male students) x 100 = ( Total Students ( % of female students = (# of female students) x 100 = ( Total Students Copyright 2008 Russell W. Cramm Total Students # of Male Students # of Female Students ) x 100 = ) ) x 100 = ( ) Graphing - Pie Charts Page 3 of 3 Make a Pie Chart based on the male and female student data. To do this, the %’s must be rounded. Choose the % closest to your results above. Task 4. The crust of the earth is the outer layer. The crust where the continents are located is composed of the elements listed below. Your task is to make a pie chart with slices representing the information in the table. Component Symbol % by Mass Oxygen O 46.6% Sodium Silicon Si 27.1% Potassium Aluminum Al 8.1% Magnesium Iron Fe 5.0% others Calcium Ca 3.6% Component Symbol % by Mass Na 2.8% K 2.6% Mg 2.1% 1.6% Data from http://hyperphysics.phy-astr.gsu.edu/Hbase/tables/elabund.html This picture is so that you know the layers of the earth. You will not graph it. The data to graph is in the paragraphs in task 4 and task 5. Geologic layers of the Earth[43] Depth[44] km Earth cutaway from core to exosphere. Not to scale. Task 5. Density Component Layer g/cm³ 0–60 Lithosphere[45] 0–35 ... Crust[46] 2.2–2.9 35–60 ... Upper mantle 3.4–4.4 35–2890 Mantle 3.4–5.6 100–700 ... Asthenosphere — — 2890–5100 Outer core 9.9–12.2 5100–6378 Inner core 12.8–13.1 Create a pie chart that shows the composition of the earth. The previous data covered only the outer layer of the earth, called the crust. The values here represent the best estimates of the make up of the entire earth. The Earth is composed mostly of iron (32.1%), oxygen (30.1%), silicon (15.1%), magnesium (13.9%), sulfur (2.9%), nickel (1.8%), calcium (1.5%), and aluminium (1.4%); with the remaining 1.2% consisting of trace amounts of other elements. Data from Wikipedia. Copyright 2008 Russell W. Cramm