Skill 21: Representing Data

Why do we have to know how to represent the data differently? A baseball diamond is a square with sides of 90 feet. What is the shortest distance between first base and third base? The beauty of math is the ability to represent the problem in many different ways

Venn Diagram

Identify elements of the set

General Additional Rule

Identify elements of the set Example #2: Police report that 78% of drivers stopped on suspicion of drunk driving are given a breath test, 36% a blood test, and 22% both tests. What is the probability that a randomly selected DWI suspect is given a test?

Identify elements of the set

YOU TRY

Mutually Exclusive Events

c) What is the probability that the student is either a sophomore or a junior?

Mutually Exclusive Events

YOU TRY 1.Let A, B, and C are mutually exclusive events. What would the Venn Diagram look like? 2.If the probability of obtaining zero defectives in a sample of 40 items is 0.34, while the probability of obtaining 1 defective item in the sample is What is the probability of obtaining more than 1 defective items in a sample?

You Try: (Recap of Monday’s Class!) Out Of 20 students, 9 are taking English composition and 14 students are taking Chemistry. 7 students are taking both classes. a)Draw a Venn diagram. b)How many students are taking either English composition or Chemistry? c)How many students aren’t taking either class?

Two Way Table Two-way Table is similar to Venn diagram. It represents __________________________. Total

Two-way Table Building ABuilding BTOTAL Married Not married Total Example #6: The two-way table is shown below about teachers and their marital statuses. What is the probability that a teacher is single? What is the probability that a teacher is married and in building B? What is the probability that a teacher is in building B?

YOU TRY 1.How many total students do chores? 2.What is the probability of randomly choosing a student that does chores? 3.What is the probability that a student does not do chores but receives an allowance? 4.What is the probability that a student does not receive an allowance?

Two-way Table TOTAL Total Example #7: Use Example 1 to construct a two-way table using probability.

Two-way Table TOTAL Total Example #8: From the city of Herron, 100 are men and 120 are women. There are 80 men who own cell phone. Sixty women do not own cell phone. Construct a two-way table using probability. What are the two categories?

YOU TRY The Venn diagram shows the number of students that exercise in different ways. Construct a two-way table using probability.

Our Own Two-Way Table & Venn Diagram # Students w/ Job: # Students w/ Driver’s License: # Students w/ Job AND Driver’s License: Total Students in this Class:

EXIT TICKET 1.A check of dorm rooms on a large college campus revealed that 38% had refrigerators, 52% had TVs, and 21% had both. What is the probability that a randomly selected dorm room has a TV OR a refrigerator? [Use a Venn diagram to solve] 2.Use the two-way table below to answer. a)What is the probability that a man has high blood pressure? b)What is the probability that a man has high blood pressure AND high cholesterol? High blood pressureLow blood pressure High cholesterol Not high cholesterol.16.52

Exit Quiz 1.What is the probability that a man has high blood pressure? 2.What is the probability that a man has high blood pressure AND high cholesterol? 3.What is the probability that a man does NOT have high cholesterol? High blood pressureLow blood pressure High cholesterol Not high cholesterol