University:
Glendale Community College
Course:
MAT142 | College Mathematics
Academic year:

2022
Views:

469

Pages:

21
Author:

layslipstw

Circle graphs (also known as pie charts) are often used to compare parts of one or more components of the whole to the whole. It will be important to know the relative sizes of regions we are constructing when we are creating circle graphs. Here are some common percent graphed. 50% takes up half of the graph 25% takes up a quarter of the graph. 12.5% takes up 1/8 of the graph 12.50% 12.50% 25% 50.00% Here is a representation of 90% and 10% 10% 90% For the most part I just eyeball it when I create circle graphs. I generally know about how large I need to make a region and I just try to get close. I never measure. Example: 600 people exiting the AMC movie theatre at Arrowhead Mall were asked what type of movie they just watched. The results can be seen below… Movie Type Action Comedy Drama Science Fiction # of People 150 300 75 75 Use this information to create a circle graph To do this “by hand” we have to do a little math. We need to change each number to a percent, or if you like a degree. I won’t show how to use degrees as percent seems to be more common. Movie type tenth Action # of people Comedy 300 Drama 75 Science Fiction 75 Totals 150 600 % of total to nearest 150 600 300 600 75 600 75 600 = 0.25 = 25% = 0.50 = 50% = 0.125 = 12.5% = 0.125 = 12.5% 100% Note: The percent column must add up to 100%. Lastly, create a reasonable picture. The Comedy sector must take up half of the graph. It can be the top of the graph, the bottom or like I showed the right side of the graph. The Action region needs to take up 25% or one quarter of the graph. Chart Title 12.50% 12.50% 50% 25% Action Comedy Drama Science Fiction Homework #9-11: Construct a Circle graph from the given data. 9) Type of cell phone IPhone Galaxy Flip Phone Other No cell phone Number of users 50 25 10 10 5 10) IQ 85 - 100 100 - 115 115 - 130 Higher than 130 Number of people 40 30 10 5 11) Height 5 feet – 5 feet 6 inches 5 feet 7 inches to 6 feet Over 6 feet 1 inch Number of people 100 80 20 Example: A survey was given to 200 people. The results are summarized in the circle graph below. a) How many peoples favorite sport is Tennis? Simply multiply the total number of people by the percent (in decimal form) that say their favorite sport is tennis. 200 * 0.18 = 36 Answer: 36 people b) How many more people favored soccer than basketball? Find out how many favored each. Number that favored soccer: 200*.29 = 58 Number that favored basketball: 200*.22 = 44 Then subtract the amounts. Answer 58 – 44 = 14 more people favored soccer than basketball. Homework: 12 - 19 12) Andrew spends 25 hours a week doing leisure activities. The results are summarized in the circle graph below. a) How many hours a week does Andrew spend watching television? (Round to 2 decimals.) b) How much more time does Andrew spend playing sports than he does reading? (Round to 2 decimals.) 13) A survey was given to 500 students. The results are summarized in the circle graph below. a) How many students favorite type of music is country? b) What is the most popular type of music and how many students say it is their favorite? 14) The current population of the USA is approximately 320 million people. The following circle graph summarizes the population of the USA. (0-17 10%, 18-44 30%, 45 – 64 40% 65 and older 20%) Ages of people living in the USA 20% 10% 30% 40% 0-17 18-44 45-64 65 and older a) How many people in the USA are 45 or older? b) How many are under 45? 15) 300 people attended a concert. The circle graph below summarizes the ages of the people who attended the concert. a) How many people at the concert were 30 or older? b) How many were under 50? 16) This frequency histogram represents the salary of employees in a certain company. You will have to estimate some of the numbers, and your answer could be slightly different than mine if your estimates are different. a) How many employees made at least 44 thousand dollars per year? b) How many made less than 33 thousand per year? 17) The ages of people attending a school assembly are summarized in the histogram below. You will have to estimate some of the numbers, and your answer could be slightly different than mine if your estimates are different. Chart Title 90 80 number of students 70 60 50 40 30 20 10 0 8 9 10 11 12 13 14 15 16 age in years a) How many people were at least 15? b) How many were under 12? 17 18) 200 students took a final exam and the results are displayed in the histogram below. a) What percent of the students got an A on the final exam? b) How many students got an A on the final exam? c) How many students failed the final, if a grade of a D or F is considered failing? 19) 300 men were measured. The results (in percent) are summarized in the histogram below. 20 18 Number with the height 16 14 12 10 8 6 4 2 0 63 64 65 66 67 68 69 70 71 72 73 74 Height in inches a) How many men had heights between 68 and 70 inches inclusive? b) How many men had heights greater than 72 inches? Answers: number of families 1) Histogram 20 15 10 5 0 0 1 2 3 4 5 6 7 8 9 Number of Children Number of families Frequency polygon 20 15 10 5 0 0 1 2 3 4 5 6 7 8 9 Number of children Number of families 3) Histogram 20 15 10 5 0 Income in thousands of dollars Number of families Frequency polygon 20 15 10 5 0 16-22 23-29 30-36 37-43 44-50 Income in thousands of dollars Total 5) Stem 1 2 3 4 Leaves 8889 00158 156 49 7) Stem 4 5 6 7 Leaves 2589 015789 0124567 3 9) 5% 10% 10% 50% 25% IPhone Galaxy Flip Phone Other No cell phone 11) 10% 40% 5 feet – 5 feet 6 inches 50% 5 feet 7 inches to 6 feet Over 6 feet 1 inch 13a) 15 13b) pop, 320 15a) 198 15b) 270 17a) 70 17b) 130 19a) 37 19b) 7