Question

The results from the customer survey are being put together into different types of graph.

Help your colleagues by working out the degrees of a pie chart each result should be shown as.

Answer 1

Strongly Disagree: 24°

Somewhat Disagree: 16°

Neither Agree nor Disagree: 100°

Somewhat Agree: 350/900 = 140°

Strongly Agree: 200/900 = 80°

Explanation:

To find the degrees on a pie chart we need to find the proportion of each category over the total.

The total is: 60 + 40 + 250 + 350 + 200 = 900

The proportions of each category is going to be:

Strongly Disagree: 60/900 = 1/15.

Somewhat Disagree: 40/900 = 2/45.

Neither Agree nor Disagree: 250/900 = 5/18.

Somewhat Agree: 350/900 = 7/18.

Strongly Agree: 200/900 = 8/9.

We find the degrees by multiplying the proportions to 360 degrees as follows:

Strongly Disagree: 24°

Somewhat Disagree: 16°

Neither Agree nor Disagree: 100°

Somewhat Agree: 350/900 = 140°

Strongly Agree: 200/900 = 80°

The total should be 360°. Let's prove it:

24 + 16 + 100 + 140 + 80 = 360°.'