10.5 Problem Solving Skills: Circle Graphs

Date ___________________

Circle Graph: Compares data that are parts of a wholeUses percents to divide the circle into sectors

Make a circle graph of the following data:

Housing type Number

Single-family home 9070

Two-family home 3023

Three-to-six family home 756

Seven or more units buildings 2267

Steps:

1) Add all of the data to find the total

2) Find what percent each number is of the total by dividing part by whole and multiplying by 100

3) Find the central angles that correspond to each percent by multiplying percent by 360

4) Estimate the angles in the circle graph for each type of data

Total:

Housing type Number Percent

Single-family home 9070

Two-family home 3023

Three-to-six family home

756

Seven or more units buildings

2267

9070 + 3023 + 756 + 2267 = 15,116

Steps 1 and 2:

9070/15,116 = 0.6060%

3023/15,116 = 0.19920%

756/15,116 = 0.05005%

2267/15,116 = 0.149915%

Housing type Percent Central Angle

Single-family home

60%

Two-family home 20%

Three-to-six family home

5%

Seven or more units buildings

15%

Steps 3:

0.6(360) = 216o

0.2(360) = 72o

0.05(360) = 18o

0.15(360) = 54o

Steps 4:

Single-family home

Two-family home

Three-to-six family home

Seven or more units buildings