Ohio Graduation Test

1
Mathematics Standard
Data Analysis and Probability
2
Data Analysis Probability
Probability
__________ tells the likelihood that something
will happen, but not when it will happen.
What is the probability of rolling a prime
number on a single die?
Probability of rolling a 2, 3, or 5
3
Data Analysis Probability
When an event MUST happen, the probablity of
the event happening is ____.
What is the probability of rolling an even or odd
number on a die?
1
When an event physically can NOT happen, the
probablity of the event happening is ____.
The probability of rolling a 7 with a single die
is ___.
0
4
Data Analysis Probability
Experimental probability
_____________________ is different than
theoretical probability because the results come
from an actual experiment.
What is the experimental probability of rolling a
3 on a die?
5
Data Analysis Probability
odds
The _____ of an event occurring are written as
What are the odds of rolling a 3 on a single
die?
15
6
Data Analysis Probability
To find all possible outcomes of an event, make
a ____________.
tree diagram
How many different meals could you create from a
choice of 2 meats (ham, turkey), 3 vegetables
(corn, peas, green beans), and 2 breads (wheat,
rye)?
7
Data Analysis Probability
permutation
A ___________ rearranges the order of items in a
group to form a new group. (Order does matter!)
Find all permutations for the word CAT.
CAT CTA
ACT ATC
TAC TCA
8
Data Analysis Probability
When finding permutations, a shortcut notation,
called a _________, may be used.
factorial
How many permutations of the word MATH can be
made?
OR
9
Data Analysis Probability
combination
A ___________ is a group of items. Order does
NOT mattter!
Find all combinations of 2 person groups that can
be made if you have Abby, Ben, Carrissa, Dan, and
Erica from which to choose.
10
Data Analysis Probability
Check out another combination problem
Find all combinations of 3 person groups that can
be made if you have Abby, Ben, Carrissa, Dan, and
Erica from which to choose.
4
11
Data Analysis Probability
Thus, to find the number of ____________ (or how
many different groups can be made when order does
NOT matter), divide
combinations
12
Data Analysis Probability
Graphs
Line Graph
Histogram Its like a bar graph with no space
between the bars.
A line graph shows how data changes over time.
13
Data Analysis Probability
Graphs
Scatterplot
Line Plot
14
Data Analysis Probability
Circle Graph
Graphs
360
There are ____ degrees total in any circle.
A circle graph is useful for comparing part to
whole.
15
Data Analysis Probability
Stem-and-Leaf Plot
Graphs
Stem
Leaves
What was the mean score?
Shown are the test scores of one class. What was
the highest score?
9 8 7 6
0, 3, 4, 6 1, 2, 7, 8, 9 3, 5, 5, 9 6, 8
96
What was the lowest score?
What was the median score?
66
What was the mode of the scores?
What was the range of the scores?
75
96 66 30
16
Data Analysis Probability
On a Box-and-Whisker Plot, the data is
divided into fourths.
Graphs
17
Data Analysis Probability
Graphs
Box-and-Whisker Plot
18
Data Analysis Probability
Graphs
Box-and-Whisker Plot
Make a box-and-whisker plot of the following
test scores 66, 68, 73, 75, 75, 79, 81, 82,
87, 88, 89, 90, 93, 94, 96
19
Data Analysis Probability
If a set of data has one entry that is far away
from the rest of the data, it is called an
________.
outlier
For example, if a really low test score were
included in the group of tests scores as shown
35, 66, 68, 73, 75, 75, 79, 81, 82, 87, 88, 89,
90, 93, 94, 96, then the test score of 35 would
be called an outlier.
So, watch out for outliers because they can
effect the _____ and ______ dramatically!
mean
range
20
Data Analysis Probability
We can use the Interquartile Range, or IQR, to
decide if a number is an outlier.
Given the data 35, 66, 68, 73, 75, 75, 79, 81,
82, 87, 88, 89, 90, 93, 94, and 96, we can figure
out that Q174 and Q389.5.
21
Data Analysis Probability
Find the average deviation from the mean of the
set of data shown below.
First find the mean
Finally, find the average of the deviations
22
Data Analysis Probability
low
high
23
Data Analysis Probability
When choosing whether to use the mean, median, or
mode
mean
median
mode
24
Data Analysis Probability
When finding the mean, median, or mode, a set of
data must have
only one ________ or ________
mean
median
but, the data could have
absolutely no mode, exactly one mode, 2
modes, 3 modes, or many modes!
No mode!