TenMarks teaches you how to make a circle graph to represent data.
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How to Make a Circle Graph In this lesson let’s learn how to make a circle graph okay? The problem states as follows, Leo asked 24 of his classmates to name their favorite dessert. The frequency chart list has results. Nine of his friend said they like ice cream, six liked apple pie, six prefer cupcakes and three prefer chocolate. We need to display the results in a circle graph. So in order to draw a circle graph we need to note three things. First we need to name the circle graph, in this case what’s the name that one could give to the circle graph? Well it could be favorite desserts, right? We need to find the different sections and their values in fractions. We will compute that in a minute and third is we need to name each section or label each section, okay? So here is what I am going to do. First we are going to find the sections, what do we know? We know nine like ice cream and this is out of 24, so that is a fraction of 9/24 liked ice cream. Well 9/24 can also be represented as, if I divide both numerator and denominator by 3 to get it at its simplest form is 3 out of 8. So 3 out of 8 kids he surveyed liked ice cream. Now we also know six like apple pie. That is 6 out of 24 kids—6/24, if I divide both sides by 6 which is the GCF, I get ¼. So we get ¼ as the second fraction. Similarly, I am going to compute the other two fractions. 6 like—what was it—cupcakes. 6/24 we have just did that that is ¼ and three like chocolate, right? That’s 3/24 divide both sides by 3 it gives me 1/8. So the four fractions that represents the cupcakes, chocolate, apple pie and ice cream are—ice cream is 3/8, pie is ¼, the cupcakes is ¼, chocolates is 1/8. All four of them have different denominators, right? I’ve got 3/8, ¼, ¼, and 1/8. Let’s convert all of them so they have the same denominator. So 3/8 and 1/8 I can let it be because both have the same denominator. I can multiply most of these by 2 to get them to have the denominator of 8. 4 x 2 is 8, 1 x 2 is 2. Again, 8 and 2 so what do we have? We have ice cream is 3/8, apple pie is 2/8, cupcakes 2/8, and chocolate 1/8 right? So 1/8, 2/8, 2/8, and 3/8. We are ready to draw the circle graph. So let’s draw a circle, I am going to try in best using my freehand to hand to draw a circle and we are going to divide the circle into eight parts because the denominator is 8. That’s 4 parts, 5, 6, 7, 8 equal parts. So the name of this entire graph is favorite dessert right? What portion of this is ice cream? Ice cream is 3 parts out of 8, so we are going to take 3 parts, right? And this is going to be ice cream which is 3/8. Apple pie is 2/8, so we will take two parts and make that be apple pie which is 2/8 —two parts like cupcakes, so two parts will be cupcakes. And the remaining one part is chocolate which is 1/8. So you see all we did to draw a circle graph is follow the few simple principles. First, we rename the graph, second we converted all four of the data sets into fractions 9 out of 24, 6 out of 24, 6 out of 24, and 3 out of 24. We brought them to this simplest values which is ¼, ¼, 1/8 and 3/8 then since all of them had different denominators, we converted them to equivalent fractions so all of them have the same denominators and the result was 3/8, 2/8, 2/8, and 1/8. Since all of them have the denominator of 8, we could draw a circle, break it down into 8 different parts and then ice cream was three parts, apple pie was two parts, cupcakes was two parts and chocolate was one part and we labeled each one of the sections. That’s how you draw a circle graph.