MATH SOLVE

3 months ago

Q:
# 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.

Accepted Solution

A:

Answer:Strongly Disagree: 24°Somewhat Disagree: 16°Neither Agree nor Disagree: 100°Somewhat Agree: 350/900 = 140°Strongly Agree: 200/900 = 80°Step-by-step 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 = 900The 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°.'