Skip to content Skip to sidebar Skip to footer

Construct A Pie Chart For The Following Distribution

A pie chart is an excellent way of representing data graphically. It is a circular chart that is divided into slices to show numerical proportion. The size of each slice is proportional to the quantity it represents. Pie charts are used to compare data and show the relationship between different quantities. This article will guide you through the steps required to construct a pie chart for the following distribution.

The Distribution

Distribution Chart

The distribution we will use in this article is as follows:

  • 25% - Apples
  • 35% - Bananas
  • 20% - Oranges
  • 10% - Grapes
  • 5% - Pears
  • 5% - Other

Step 1: Calculate the Total

Calculator

The first step to constructing a pie chart is to calculate the total. In this case, the total is 100% since we are dealing with percentages.

Step 2: Calculate the Angle for Each Slice

Angle Calculator

The next step is to calculate the angle for each slice. To do this, we need to multiply each percentage by 360 (the number of degrees in a circle) and then divide by the total. For example, to calculate the angle for apples, we would do the following:

(25/100) x 360 = 90

90/100 = 0.9

0.9 x 2π = 5.65 radians

Repeat this process for each slice in the pie chart.

Step 3: Draw the Circle

Circle Template

The next step is to draw the circle that will represent the pie chart. You can use a compass or a circular template to draw a perfect circle. Alternatively, you can use a protractor to draw a circle by hand.

Step 4: Mark the Centre Point and Divide the Circle

Protractor

Mark the centre point of the circle and divide it into slices based on the angles calculated in step 2. Draw lines from the centre point to the edges of the circle to divide it into slices.

Step 5: Label the Slices and Add a Legend

Pie Chart Legend

The final step is to label each slice and add a legend to the pie chart. Use a different color for each slice to make it easier to differentiate between them. You can also add a title to the pie chart to give it context.

Now that you have followed all the steps, you should have successfully constructed a pie chart for the given distribution.

Conclusion

Pie charts are an excellent tool for representing data graphically. They are easy to understand and can be used to compare data quickly. By following the steps outlined in this article, you can construct a pie chart for any given distribution. Remember to label each slice and add a legend to make the chart easier to read.

Related video of Construct A Pie Chart For The Following Distribution