EOC Practice #1 Sophia is a student at Windsfall High School. These histograms give information about the number of hours spent volunteering by each of the students in Sophia’s homeroom and by each of the students in the tenth-grade class at her school. a) Find the medians and quartiles for the 2 groups.

EOC Practice #2 Old Faithful, a geyser in Yellowstone National park, is renowned for erupting fairly regularly. In more recent times, it has become less predictable. It was observed that the time interval between eruptions was related to the duration of the most recent eruption. The distribution of its interval times for 2011 is shown below. Does the distribution seem normal, skewed, or uniform? What does the distribution tell you about the time between eruptions?

EOC Practice #3 The top five salaries and bottom five salaries at Technology Incorporated are shown in the table below. Find the mean absolute deviation for each set of data. Round to the nearest hundredth. b) Compare the variations of the data sets. 7.46, 2.14

EOC Practice #4 A teacher determined the median scores and interquartile ranges of scores for a test she gave to two classes. In Class 1, the median score was 70 points, and the interquartile range was 15 points. In Class 2, the median score was 75 points, and the interquartile range was 12 points. Which range of numbers includes only third quartile of scores for both classes? 70 to 87 points 70 to 85 points 75 to 87 points 75 to 85 points D

is the measure of how likely an event is (written as a ratio) Probability is the measure of how likely an event is (written as a ratio)

Probability of an event The number of ways the event can occur divided by the total number of possible outcomes P(A) = The number of ways an event can occur Total number of possible outcomes

Example#1: You roll a six-sided die whose sides are numbered from 1 through 6. a) What is the probability of rolling an ODD number? P(odd) =

P(“t”) = b) What is the probability of rolling a number that starts with the letter “t”? P(“t”) =

Example #2: A jar contains 6 red, 5 green, 8 blue and 3 yellow marbles. P(red) = P(green) = P(blue) = P(yellow) =

Example#2: A jar contains 6 red, 5 green, 8 blue and 3 yellow marbles. P(orange) =

Example #3: A deck of cards contains 52 cards made up of 4 different suits – Hearts, Diamonds, Spades, and Clubs. a) What is the probability of drawing a heart?

b) What is the probability of drawing a 3 b) What is the probability of drawing a 3? c) What is the probability of drawing a face card?

Practice #4 The table gives the handedness and eyedness of a randomly selected group of 100 people. Right-Eyed Left-Eyed Right-Handed 57 31 Left-Handed 6 What is the probability of getting a left-handed person?

Practice #4 The table gives the handedness and eyedness of a randomly selected group of 100 people. Right-Eyed Left-Eyed Right-Handed 57 31 Left-Handed 6 What is the probability of getting someone who is left-eyed?

Practice #4 The table gives the handedness and eyedness of a randomly selected group of 100 people. Right-Eyed Left-Eyed Right-Handed 57 31 Left-Handed 6 What is the probability of getting someone who is left-handed and is also left-eyed?

Practice #4 The table gives the handedness and eyedness of a randomly selected group of 100 people. Right-Eyed Left-Eyed Right-Handed 57 31 Left-Handed 6 What is the probability of getting someone who is right-handed and is also right-eyed?

Practice #5 The chart shows favorite subjects of students based on their gender. Math Science English SS Male 46 42 13 25 Female 12 21 45 36 What is the probability that a randomly chosen student likes Social Studies the most?

Practice #5 The chart shows favorite subjects of students based on their gender. Math Science English SS Male 46 42 13 25 Female 12 21 45 36 What is the probability that a randomly chosen student is female?

Practice #5 The chart shows favorite subjects of students based on their gender. Math Science English SS Male 46 42 13 25 Female 12 21 45 36 What is the probability that a randomly chosen student both likes science and is a male?

Practice #5 The chart shows favorite subjects of students based on their gender. Math Science English SS Male 46 42 13 25 Female 12 21 45 36 d) What is the probability that a randomly chosen student likes social studies and is a female?

Classwork!

Probability Tables

A Little Vocabulary Athletics Music/Arts SGA Other Total Male   Athletics Music/Arts SGA Other Total Male Male total Female Female total Athletics total Music/arts total SGA total Other total Table total

Joint Probability

Marginal Probability

Conditional Probability

Example 1 Using the table below, what is the joint probability of a female that is involved in SGA? 0/30 = 0%   Athletics Music/Arts SGA Other Total Male 10 5 1 2 18 Female 6 12 15 11 3 30

Example 2 Using the table below, what is the marginal probability of choosing someone who is involved with athletics? 15/30 = 50%   Athletics Music/Arts SGA Other Total Male 10 5 1 2 18 Female 6 12 15 11 3 30

Example 3 Using the table below, what is the conditional probability given that a person is male, that they are involved in Music/Arts? 5/18 = 28%   Athletics Music/Arts SGA Other Total Male 10 5 1 2 18 Female 6 12 15 11 3 30

Classwork Task Handout

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