TwoWay Tables Skill 18 Objectives Understand what is

Two-Way Tables Skill 18

Objectives • Understand what is a two-way frequency table. • Properly use a two-way frequency table. • Properly construct a two-way frequency table.

Example- Two-Way Table An insurance company selected drivers in a particular city to find a relationship between the age of the driver and the number of car accidents. Complete the following table. Age of Driver Accidents in Year (in years) 1 2 3 Total 17 – 25 15 23 40 78 26 – 40 50 44 56 150 Above 40 62 22 11 95 Total 127 89 107 323

Example-Complete the questions A) Find the probability of total accidents attributed to the 17 to 25 year old age group of drivers. Solution: P(17 to 25 yr. old) = (17 to 25 yr. old) Total = 78 =. 24 = 24% 323 B) Find the probability of an accident in year 2 was attributed to the 26 to 40 year old age group of drivers. Solution: P(26 to 40 yr. old | yr. 2) = (26 to 40 yr. old) Year 2 = 44 =. 494 = 49. 4% 89

Example- Two-Way Table An insurance company selected drivers in a particular city to find a relationship between the age of the driver and the number of car accidents. Complete the following table. Cooking Dancing Painting Other Total Boys 15 40 33 42 130 Girls 30 35 38 39 142 Total 45 75 71 81 272

Example-Complete the questions A) What is the probability of all the students that joined the dance class? Solution: P(Dance) = All Dance = 75 Total 272 =. 2757 = 27. 57% B) What is the probability that the person picked is girl that joined the painting class? Solution: P(Girl and Painting) = Girl Painting Total = 38 =. 1397 = 13. 97% 272

Example-Complete the questions A) What is the probability that given we know the person is a boy, he joined the painting class? Solution: P(Painting | Boy) = Boy Painting Total Boy = 33 130 =. 2538 = 25. 38%

Example- Two-Way Table A survey was conducted for part-time and full-time boys and girls enrolled at Henkey College. It was found that the total number of boys enrolled was 72. From these 52 boys were full-time. There were 25 full-time girls and 15 part-time girls. Create a two-way table using the information above. Students Full-Time Part-Time Boys Girls Total 52 25 77 20 15 35 Total 72 40 112

Example- Two-Way Table Students were planning on going on a school picnic. The teacher was taking a survey of who was going and who was not. She found that of the 39 boys in the class, 14 were planning on attending the picnic. Also, of the 21 girls in the class, 5 were not going to the picnic. Create a two-way table using the information above. Students Boys Girls Total Going to Picnic Not Going to Picnic 14 16 25 30 Total 39 21 60

Example- Two-Way Table It was found that 33 students are taking math, and 18 of those students are not taking physics. Sixty-seven students are not taking math, but 35 of those students are taking physics. Create a two-way table using the information above. Students Math Class Not in Math Total Physics Class 20 35 50 Not in Physics 18 32 50 Total 33 67 100

18: Two-Way Tables � Summarize � Questions? � Homework ◦ Worksheet Notes