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Can anyone help?

In a survey, 72 people were asked to name their favourite fruit.

These are the results:

Fruit
Apple
Banana
Orange
Other
Number of people
25
20
12
15
Angle size
125

Work out the missing angle sizes and add them to the table above. Round the angle sizes to the nearest whole numbers.


Using you own paper, represent this information in a pie chart.

Discuss your answers with your tutor.

Can anyone help? In a survey, 72 people were asked to name their favourite fruit. These-example-1
User Marijus
by
8.4k points

1 Answer

5 votes

Missing angles: Banana 400°, Orange 267°, Other 308°. Pie chart: 125° Apple, 400° Banana, 267° Orange, 308° Other.

Sure, I can help you with this.

Step 1: Calculate the total angle

The sum of the angles in a pie chart should be 360°. In this case, we have already been given the angle size for one category, Apple, which is 125°.

Therefore, to find the total angle, we can use the following formula:

Total angle = Number of categories * 360°

In this case, there are 4 categories: Apple, Banana, Orange, and Other.

Therefore, the total angle is:

Total angle = 4 * 360° = 1440°

Step 2: Calculate the missing angle sizes

Now that we know the total angle, we can calculate the missing angle sizes for each category. We can do this by dividing the total angle by the number of people in each category and then multiplying by 360°.

For example, to calculate the angle size for Banana, we can use the following formula:

Banana angle size = (Number of people who like Banana / Total number of people) * Total angle

Banana angle size = (20 / 72) * 1440° ≈ 400°

We can repeat this process for the remaining categories:

* Orange angle size = (12 / 72) * 1440° ≈ 267°

* Other angle size = (15 / 72) * 1440° ≈ 308°

Step 3: Round the angle sizes

The instructions ask us to round the angle sizes to the nearest whole numbers. Therefore, the final angle sizes are:

* Apple: 125°

* Banana: 400°

* Orange: 267°

* Other: 308°

Step 4: Create a pie chart

You can use any method you like to create a pie chart. You can do it manually on paper, using a ruler and protractor to draw the different slices of the pie. Or, you can use a spreadsheet program or online tool to create the chart for you.

Once you have created your pie chart, you can discuss your answers with your tutor. They can help you check your calculations and make sure your pie chart is accurate.

User Izaban
by
7.5k points