EOCT Practice #1 Sophia is a student at Windsfall High School. These histograms give information about the number of hours spent volunteering by each of.
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EOCT Practice #1Sophia 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.
EOCT Practice #2Old 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.
a) Does the distribution seem normal, skewed, or uniform?
b) What does the distribution tell you about the time between eruptions?
EOCT Practice #3The top five salaries and bottom five salaries at Technology Incorporated are shown in the table below.
a) 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
EOCT Practice #4A science teacher recorded the pulse rates for each of the students in her classes after the students had climbed a set of stairs. She displayed the results, by class, using the box plots shown.
Which class had the highest pulse rate after climbing the stairs? 3
EOCT Practice #5A 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?a) 70 to 87 pointsb) 70 to 85 pointsc) 75 to 87 pointsd) 75 to 85 points
D
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
P(odd) =
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?
36
.5
P(“t”) =
b) What is the probability of rolling a number that starts with the letter “t”?
26
.33
Example #2: A jar contains 6 red, 5 green, 8 blue and 3 yellow marbles.
P(red) =
P(green) = P(blue) = P(yellow) =
622
522
822
322
.27
.23 .36 .14
Example#2: A jar contains 6 red, 5 green, 8 blue and 3 yellow marbles.
P(orange) = 0 0
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?
13
P Heart52
.25
b) What is the probability of drawing a 3?
c) What is the probability of drawing a face card?
4
P a 352
.08
12
P face52
.23
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 6
a) What is the probability of getting a left-handed person?
12100
.12
Right-Eyed
Left-Eyed
Right-Handed
57 31
Left-Handed
6 6b) What is the probability of getting
someone who is left-eyed?37
100
Practice #4 The table gives the handedness and eyedness of a randomly selected group of 100 people.
.37
c) What is the probability of getting someone who is left-handed and is also left-eyed?
Right-Eyed
Left-Eyed
Right-Handed
57 31
Left-Handed
6 6
6100
Practice #4 The table gives the handedness and eyedness of a randomly selected group of 100 people.
.06
d) What is the probability of getting someone who is right-handed and is also right-eyed?
Right-Eyed
Left-Eyed
Right-Handed
57 31
Left-Handed
6 6
57100
Practice #4 The table gives the handedness and eyedness of a randomly selected group of 100 people.
.57
Practice #5The chart shows favorite subjects of students based on their gender.
Math Science
English
SS
Male 46 42 13 25Female
12 21 45 36
a) What is the probability that a randomly chosen student likes Social Studies the most? 61
240.25
Math Science
English
SS
Male 46 42 13 25Female
12 21 45 36
b) What is the probability that a randomly chosen student is female?
Practice #5The chart shows favorite subjects of students based on their gender.
.475114240
Math Science
English
SS
Male 46 42 13 25Female
12 21 45 36c) What is the probability that a
randomly chosen student both likes science and is a male?
Practice #5The chart shows favorite subjects of students based on their gender.
.17542240
Math Science
English
SS
Male 46 42 13 25Female
12 21 45 36d) What is the probability that a
randomly chosen student likes social studies and is a female?
Practice #5The chart shows favorite subjects of students based on their gender.
.1536240
Classwork!
Probability Tables
A Little Vocabulary Athletics Music/Arts SGA Other Total
Male Male total
Female Female total
Total Athletics total
Music/arts total
SGA total Other total
Table total
Joint Probability
individual celltable total
Marginal Probability
column or row totaltable total
Conditional Probability
Example 1• Using the table below, what is
the joint probability of a female that is involved in SGA?
Athletics Music/Arts SGA Other Total
Male 10 5 1 2 18
Female 5 6 0 1 12
Total 15 11 1 3 30
0/30 = 0%
Example 2• Using the table below, what is
the marginal probability of choosing someone who is involved with athletics?
Athletics Music/Arts SGA Other Total
Male 10 5 1 2 18
Female 5 6 0 1 12
Total 15 11 1 3 30
15/30 = 50%
Example 3• Using the table below, what is
the conditional probability given that a person is male, that they are involved in Music/Arts?
Athletics Music/Arts SGA Other Total
Male 10 5 1 2 18
Female 5 6 0 1 12
Total 15 11 1 3 30
5/18 = 28%
CLASSWORK
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CLASSWORK/HOMEWORK
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