1
Question
How can we draw a circle graph?
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Solution
Circle graph can better be explained with the help of an example.
Construct the circle graph for the data in the table below.
Sneakers Sold for November 1997 at The Shoe Source
Brand NameNumber soldAdidas150Nike192Reebok60Asics108Other90
1. Is the Data Suitable:
Determine whether there is a "whole" for the data. Then determine what the different parts, or data groups, of the whole are.
Define the whole--In this table, the whole is the total number of sneakers sold for the month of November 1997.
How many different parts, or groups, are there--There are five parts to the whole. Each data group is a category of sneaker brands (1) Adidas, (2) Nike, (3) Reebok, (4) Asics, (5) Other.
From the table we can calculate the whole, and we do have different parts. This means the data could be displayed in a circle graph.
2. Calculate Percentages
For data that is not already given as percentages, convert the amounts for each part, or data group, into a percentage of the whole.
Calculate the whole-This total can be found by adding up the numbers sold for each type of sneaker.
There are five different parts to our whole. The table lists the number sold in each part. To find the total sold we add up these parts. When we do this, we find the total number is 600.
150 + 192 + 60 + 108 + 90 = 600 total shoes sold
Calculate the percentage for each part--This means we must calculate the percentage of the whole for each of the five data groups. Since we now have the total number of sneakers sold, and we have the amount of each category sold, we can calculate the percentage of sales for each data group.
Once we find the total, we can convert each Number Sold into a percentage of the whole. Lets go through the calculation for Adidas shoes. If look at Adidas shoes, 150 of the 600 shoes sold are Adidas.
Brand NameNumber soldAdidas150
This means the fraction of shoes sold that are Adidas is 150600. To convert this fraction to a decimal, we divide the numerator by the denominator and then multiply by 100.
So Adidas accounts for 25\% of the sneakers sold last in November 1997. The table below has the percentages added for each category of sneakers
Brand NameNumber soldPercentage soldAdidas15025Nike19232Reebok6010Asics10818Other9015
3. Draw the Graph
First, draw a circle. Then, draw in the sectors of the circle. We need to try make each sector correspond to the percentage of whole that it represents. For this circle our sectors need to be 32%,25%,18%,15%, and 10%.
You can also add shading to the sectors. This helps to make them easier to distinguish.
4. Title and Label the Graph
Label the sectors with the data group name and percentage. Then add a title to the graph. This is the same as the title of the table.
At the right we have the completed circle graph. This allows us to evaluate the relative sizes of group quickly. We can see that Nike has the largest percentage of sales, and that, of the top four sellers, Reebok has the smallest, approximately 13 that of Nike.
Construct the circle graph for the data in the table below.
Sneakers Sold for November 1997 at The Shoe Source
Brand NameNumber soldAdidas150Nike192Reebok60Asics108Other90
1. Is the Data Suitable:
Determine whether there is a "whole" for the data. Then determine what the different parts, or data groups, of the whole are.
Define the whole--In this table, the whole is the total number of sneakers sold for the month of November 1997.
How many different parts, or groups, are there--There are five parts to the whole. Each data group is a category of sneaker brands (1) Adidas, (2) Nike, (3) Reebok, (4) Asics, (5) Other.
From the table we can calculate the whole, and we do have different parts. This means the data could be displayed in a circle graph.
2. Calculate Percentages
For data that is not already given as percentages, convert the amounts for each part, or data group, into a percentage of the whole.
Calculate the whole-This total can be found by adding up the numbers sold for each type of sneaker.
There are five different parts to our whole. The table lists the number sold in each part. To find the total sold we add up these parts. When we do this, we find the total number is 600.
150 + 192 + 60 + 108 + 90 = 600 total shoes sold
Calculate the percentage for each part--This means we must calculate the percentage of the whole for each of the five data groups. Since we now have the total number of sneakers sold, and we have the amount of each category sold, we can calculate the percentage of sales for each data group.
Once we find the total, we can convert each Number Sold into a percentage of the whole. Lets go through the calculation for Adidas shoes. If look at Adidas shoes, 150 of the 600 shoes sold are Adidas.
Brand NameNumber soldAdidas150
This means the fraction of shoes sold that are Adidas is 150600. To convert this fraction to a decimal, we divide the numerator by the denominator and then multiply by 100.
So Adidas accounts for 25\% of the sneakers sold last in November 1997. The table below has the percentages added for each category of sneakers
Brand NameNumber soldPercentage soldAdidas15025Nike19232Reebok6010Asics10818Other9015
3. Draw the Graph
First, draw a circle. Then, draw in the sectors of the circle. We need to try make each sector correspond to the percentage of whole that it represents. For this circle our sectors need to be 32%,25%,18%,15%, and 10%.
You can also add shading to the sectors. This helps to make them easier to distinguish.
4. Title and Label the Graph
Label the sectors with the data group name and percentage. Then add a title to the graph. This is the same as the title of the table.
At the right we have the completed circle graph. This allows us to evaluate the relative sizes of group quickly. We can see that Nike has the largest percentage of sales, and that, of the top four sellers, Reebok has the smallest, approximately 13 that of Nike.
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