Question

PLS HELPPP THYANK UUU PLS The data below shows the colors preferred by a group of people. We want to plot this on a pie chart. What will be the central angles of each of these categories?

Red=
blue=
green=
purple=

Answer 1

Red 100

Blue 150

Green 50

Purple 60

Explanation:

The total number of people surveyed
= 20 + 30 + 10 + 12
= 72

The relative area of each pie in the pie chart will be in the ratio of

number of people who prefer a color ÷ total number of people

The central angles of each pie category = above ratio x 360°

• Fraction of people who prefer red = 20/72
  Central angle = 20/72 x 360 = 100°
  
• Fraction of people who prefer blue = 30/72
  Central angle = 30/72 x 360 = 150°
  
• Fraction of people who prefer green = 10/72
  Central angle = 10/72 x 360 = 50°
  
• Fraction of people who prefer purple = 12/72
  Central angle = 12/72 x 360 = 60°
  
  

These angles should add up to 360°

100 + 150 + 50 + 60 = 360