Mrs' Janice Osterloh

1
Ohio Graduation Test Mathematics

• Mrs. Janice Osterloh
• Fort Recovery High School
• Fort Recovery, Ohio

2
Mathematic Standards

• Number, Number Sense and Operations
• Measurement
• Geometry and Spatial Sense
• Patterns, Functions and Algebra
• Data Analysis and Probability
• Mathematical Processes

3
Mathematics Standard
Number, Number Sense and Operations
4
Scientific Notation
Use scientific notation to rewrite each of
these very small numbers 1. 0.00347 2.
0.0000006075
3.47 x 10-3 6.075 x 10-7
Use scientific notation to rewrite each of
these very large numbers 1. 12,000 2.
705,000,000
1.2 x 104 7.05 x 108
5
Sets of Numbers
6
Sets (of Numbers)
It is both a Rational Number a Real Number!
-3 is a member of which set of numbers?
It is an Integer, a Rational Number, and a
Real Number!
7
Number?
Pi is an Irrational Number!
3.14 22/7
8
Properties
9
Comparing Real Numbers
Where are the following Real Numbers
located on the number line?
10
Comparing Real Numbers
Where are the following Real Numbers located on
the number line?
11
Mathematics Standard
Measurement
12
Conversions
1 ton _ pounds
2000
1 pound _ ounces
16
1 mile _ feet
5280
13
Conversions
1 gallon _ quarts
4
1 quart _ pints
2
1 pint _ cups
2
1 cup _ fluid ounces
8
14
Conversions
Is your school milk ½ pint?
______ ½ pint
pint
__ cups 1 quart
___ cups 1 gallon
15
Conversions
1 kilometer _ _ meters
1000
1 meter _ _centimeters
100
1 centimeter ___ millimeters
10
16
Conversions
Which is longer, a mile or a kilometer?
1 mile _ _ kilometers
17
Conversions
Which is longer, an inch or a centimeter?
1 inch _ _ centimeters
18
Conversions
Which is larger, a quart or a liter?
1 quart _ liters
19
Conversions
Which is larger, 2 liters or a gallon?
A liter is just a little bigger than a ______.
So 2 liters is just a little more than half of a
gallon!
quart
20
Conversions
Which is larger, 4 liters or a gallon?
1 gallon _ _ liters
21
Conversions
Which is heavier, an ounce or a gram?
1 ounce _ _ grams
22
Conversions
Which is heavier, a ton or 1,000 kilograms?
1 ton _ __ kilograms
23
Conversions
To convert, use the factor-label method.
A car traveling 30 miles/hour is traveling how
many feet per second?
24
Conversions
A person jogging 4 miles/hour is traveling how
many feet per second?
25
Conversions
How many 8 ounce cups can be filled by 3 ½
gallons of punch?
26
Conversions
4.7 meters is equal to how many millimeters?
27
Converting Using a Formula
If you are given Fahrenheit, use this formula to
convert to Celsius
28
Converting Using a Formula
Which is warmer, 72 degrees Fahrenheit or 25
degrees Celsius?
29
Trigonometry
What is trigonometry???
Trigonometry is the study of the ratios of the
lengths of any two sides of a right triangle.
(Ratios are created by dividing the length of one
side of a right triangle by another side of that
same triangle.)
30
Trigonometry
10 cm
8 cm
6 cm
31
Trigonometry
10 cm
8 cm
6 cm
32
Trigonometry
10 cm
8 cm
6 cm
33
Trigonometry
How tall is the tree?
30 feet
34
Trigonometry
24 ft
7 ft
What is the measure of angle A?
35
Mathematics Standard
Geometry and Spatial Sense
36
Coordinate Geometry
Any point can be written as _______.
(x, y)
If there are two points, use subnumbers and write
the points as _______ and _________.
37
Formulas for finding Length
distance
The _______ formula is used to find the distance
between any 2 points.
38
Finding Distance
Find the distance between these points (-2, -3)
and (6, 3).
39
Formulas for finding Coordinates
The ________ formula is used to find the
coordinates of the midpoint of a segment.
midpoint
40
Finding Coordinates
Find the coordinates of the midpoint of this
segment.
M
41
Formulas for finding Length
Pythagorean Theorem
The ___________________ is used to find the
lengths of the sides of a right triangle.
hypotenuse
leg
leg
42
Finding Length
What is the length of the hypotenuse of this
right triangle?
12
16
43
Finding Length
What is the length of the missing leg of this
right triangle?
15 cm
9 cm
44
Formulas for finding Length
The ________ of a figure is the sum of the
lengths of the sides of the figure.
perimeter
45
Length
How much would it cost a community to enclose
their playground that is shaped as a regular
hexagon if one side is 15 yards and the cost of
the fence averages 12/foot.
46
Formulas for finding Length
The ____________ is the distance around a circle.
circumference
Note Formula is provided.
47
Length
The circumference of a tree is 42 inches. What
is the diameter of the tree?
48
Reading Geometric Symbolism
is read as
point B
49
Reading Geometric Symbolism
is read as
segment AB
50
Reading Geometric Symbolism
is read as
ray AB
51
Reading Geometric Symbolism
is read as
line AB
52
Reading Geometric Symbolism
is read as
angle CAT
53
Reading Geometric Symbolism
is read as
the measure of angle CAT
54
Reading Geometric Symbolism
is read as
segment AB is parallel to segment CD
55
Reading Geometric Symbolism
segment AB is perpendicular to segment CD
is read as
56
Reading Geometric Symbolism
segment AB is congruent to segment CD
is read as
57
Geometric Terminology
Congruent
__________ figures have the same size and the
same shape.
58
Geometric Terminology
Use the corner of a piece of paper to determine
if an angle is right, obtuse, or acute!
59
Geometric Terminology
acute
is an _____ angle.
60
Geometric Terminology
obtuse
is an _______ angle.
61
Geometric Terminology
right
is a _____ angle.
62
Geometric Terminology
straight
is a ________ angle.
63
Geometric Terminology
1
2
complementary
are _ _______ angles.
64
Geometric Terminology
1
2
supplementary
are _ _______ angles.
65
Geometric Terminology
k
j
t
Given j // k
Line t is called a _ ____.
transversal
66
Geometric Terminology
k
1
2
3
4
5
j
6
7
8
Given j // k
alternating interior
are _ __________ angles.

67
Geometric Terminology
k
1
2
3
4
5
j
6
7
8
Given j // k
alternating interior
are _ __________ angles.

68
Geometric Terminology
k
1
2
3
4
5
j
6
7
8
Given j // k
corresponding
are _ _______ angles.

69
Geometric Terminology
k
1
2
3
4
5
j
6
7
8
Given j // k
corresponding
are _ _______ angles.

70
Geometric Terminology
k
1
2
3
4
5
j
6
7
8
Given j // k
corresponding
are _ _______ angles.

71
Geometric Terminology
k
1
2
3
4
5
j
6
7
8
Given j // k
corresponding
are _ _______ angles.

72
Geometric Terminology
k
1
2
3
4
5
j
6
7
8
Given j // k
alternating exterior
are _ __________ angles.

73
Geometric Terminology
k
1
2
3
4
5
j
6
7
8
Given j // k
alternating exterior
are _ __________ angles.

74
Geometric Terminology
polygon
A _______ is a 2-D figure named according to the
number of sides it has.

• 7 - Heptagon
• 8 - Octagon
• 9 - Nonagon
• 10 - Decagon

• 3 - Triangle
• 4 - Quadrilateral
• 5 - Pentagon
• 6 - Hexagon

75
Geometric Terminology
An acute triangle has ______ angles.
3 acute
76
Geometric Terminology
A right triangle has ____________ angle.
exactly 1 right
77
Geometric Terminology
An obtuse triangle has _____________ angle.
exactly 1 obtuse
78
Geometric Terminology
Triangles can also be named according to the
lengths of their sides
A scalene triangle has ____ sides of equal
length.
no
79
Geometric Terminology
An isosceles triangle has ___ sides of equal
length.
2
80
Geometric Terminology
In an isosceles triangle, the base angles are
______ or _________.
81
Geometric Terminology
An equilateral triangle has _____ equal sides.
3
82
Geometric Terminology
An equilateral triangle is also ___________,
meaning all 3 angles are equal in measure.
equiangular
83
Geometric Terminology
This triangle is _______ and
.
84
Geometric Terminology
This triangle is _______ and
.
85
Geometric Terminology
This triangle is _____ and .
86
Geometric Terminology
This triangle is ______ and .
87
Geometric Terminology
This triangle is ______ and _ .
88
Geometric Terminology
This triangle is ______ and _ .
89
Geometric Terminology
This triangle is ______ and _ .
90
Geometry Facts
3
1
2
The sum of the measures of ____ triangle is 180
degrees.
any
91
Geometric Terminology
altitude
This is called the _______ of a triangle.
The length of the altitude is called the
_______ of the triangle.
height
92
Geometry Facts
Corresponding parts of congruent triangles are
__________.
congruent
93
Geometry Facts
Five ways to tell if two triangles are congruent
include
SSS, SAS, ASA, AAS, and HL
94
Geometry Facts
To use ____, check to see if all 3 pairs of
corresponding sides are congruent.
SSS
95
Geometry Facts
To use ____, check to see if 2 pairs of
corresponding sides and the included angle are
congruent.
SAS
96
Geometry Facts
To use ____, check to see if 2 pairs of
corresponding angles and the included side are
congruent.
ASA
97
Geometry Facts
To use ____, check to see if 2 pairs of
corresponding angles and a nonincluded side are
congruent.
AAS
98
Geometry Facts
To use ___, check to see if a pair of
corresponding hypotenuses and a pair of
corresponding legs in right triangles are
congruent.
HL
99
Geometry Facts
Corresponding parts of congruent figures are
_______.
congruent
(Wow! Its not just true for triangles!)
7
8
6
9
10
100
Geometric Terminology
Similar
_______ figures have the same shape, but they do
NOT have to have the same size (although they
could).
101
Reading Geometric Symbolism
triangle CAT is similar to triangle DOG
is read as
102
Geometry Facts
similar
In ______ figures, corresponding angles are
congruent corresponding sides are in proportion.
103
Geometric Terminology
In similar figures, the ratio of 2 corresponding
sides is called the _____ factor.
scale
104
Geometry Facts
In similar figures, the ratio of the perimeters
is the same as the _____ factor.
scale
12
9
Wow! We do NOT even need to know the lengths of
ALL of the sides!
105
Geometry Facts
One way to tell if two triangles are similar is
to check to see if
106
Geometry Facts
If a line segment in a triangle is ________ to
one of the sides, the two triangles created are
similar.
parallel
107
Geometry Terminology
parallelogram
A ___________ is a quadrilateral with both pairs
of opposite sides being parallel.
108
Geometry Facts
In a parallelogram, both pairs of opposite sides
are not only parallel, but also _________.
109
Geometry Facts
In a parallelogram, both pairs of opposite angles
are _________.
110
Geometry Facts
In a parallelogram, the diagonals _______ each
other.
111
Geometry Terminology
rectangle
A _________ is a parallelogram with 4 right
angles.
112
Geometry Terminology
rhombus
A _________ is a parallelogram with 4 congruent
sides.
113
Geometry Terminology
square
A _______ is a parallelogram with 4 right angles
and 4 congruent sides.
114
Geometry Facts
Relationship of special quadrilaterals
parallelogram
rhombus
rectangle
square
115
Geometry Terminology
trapezoid
A _______ is a quadrilateral with 1 pair of
parallel sides.
116
Geometric Terminology
isosceles
In an ________ trapezoid, the legs are
congruent.
117
Geometry Facts
median
118
Geometry Facts
In these special quadrilaterals, the diagonals
are congruent
119
Geometry Facts
In these special quadrilaterals, the diagonals
are perpendicular
120
Geometric Terminology
regular
A _______ polygon is both equilateral and
equiangular.
121
Geometric Terminology
interior
exterior
180
1
2
122
Geometry Facts
To find the sum of the degrees of the interior
angles of any polygon, divide the figure into
_______ and multiply by ___ .
180
?
?
?
?
?
123
Geometry Facts
The sum of the degrees of one set of exterior
angles of any polygon, is always ___ .
360
360
124
Reading Geometric Symbolism
is read as
circle P
125
Geometric Terminology
A _____ is a line segment which has both
endpoints on the circle.
chord
126
Geometric Terminology
A chord that passes through the center of the
circle is called a ________.
diameter
127
Geometric Terminology
The diameter of the circle is twice the length of
the ______.
radius
128
Geometric Terminology
tangent
A _______ line intersects a circle in exactly one
point.
129
Geometric Terminology
central
A ______ angle is formed by two radii. Its
vertex is located at the center of the circle!
130
Geometric Terminology
semicircle
A __________ is half of an arc of a circle.
131
Geometric Terminology
A ______ arc is smaller than a semicircle.
minor
132
Geometric Terminology
A ______ arc is larger than a semicircle.
major
133
Geometry Facts
360
In any circle, there are ____ .
360
134
2-D Geometric Figures
You are expected to be able to use the following
formulas for 2-dimensional figures
135
Geometry Terminology
transformation
A _____________ maps a geometric figure to a
second figure with the exact same size and shape,
called its ______.
image
136
Types of Transformations
reflection
A __________ creates a mirror image of the
original figure. The mirror line is called the
______________.
line of symmetry
original
137
Types of Transformations
rotation
A ________ turns the original figure a certain
number of degrees.
A ________________ rotation is positive!
counterclockwise
original
A ____________ rotation is negative!
clockwise
138
Types of Transformations
translation
A _________ slides the original figure some
distance in some direction.
original
139
3-D Geometric Figures
You are expected to be able to use formulas for
finding the Volume and Surface Area of
3-dimensional figures. In order to do so, you
need to know this symbolism
140
3-D Geometric Figures
prism
The object shown below is a ______.
bases
The ______ are 2 congruent triangles.
lateral
The ______ faces connect the bases.
The _______ is the height of the prism.
141
3-D Geometric Figures
cylinder
A _______ is shown here.
bases
The ______ are the 2 circles.
The _______ is the height of the cylinder.
142
3-D Geometric Figures
rectangular prism
A box, or _______________ is shown below.
cube
143
3-D Geometric Figures
You are expected to be able to use the following
formulas for 3-dimensional figures such as those
shown
144
3-D Geometric Figures
pyramid
The object shown below is a ________.
The _____ is a polygon a triangle here.
lateral
The ______ faces connect the base to the
vertex.
The _______ is the height of the pyramid.
145
3-D Geometric Figures
cone
A _____ is shown here.
base
The _____ is the circle.
The _______ is the height of the cylinder.
146
3-D Geometric Figures
You are expected to be able to use the following
formulas for 3-dimensional figures such as these
147
3-D Geometric Figures
To be able to find the lateral area (or the area
of the faces that are not the base), you may need
to know the _______ height.
slant
148
3-D Geometric Figures
sphere
A _______ is the set of all points a fixed
distance from a given point called the center.
You are expected to be able to use the following
formula to find the volume of a sphere
149
2-D versus 3-D
A ____ is a two dimensional drawing that forms a
three dimensional object when cut out and
assembled properly.
net
This is a net of a _________.
cylinder
150
Mathematics Standard
Patterns, Functions and Algebra
151
Algebra Facts
Please Excuse My Dear Aunt Sally is a saying
used to help remember the ________________
Order of Operations

• Parenthesis
• Exponents
• Multiplication and Division (left to right)
• Addition and Subtraction (left to right)

152
Algebra Facts
When adding positive and negative numbers, try
153
Algebra Facts
When subtracting positive and negative numbers,
change subtraction to _______ first by
________________. And then add!
addition
154
Algebra Facts
When multiplying or dividing positive and
negative numbers if the signs are the same,
the answer is _______. if the signs are
different, the answer is ________.
155
Algebra Key Words
Words or phrases that indicate you should add
156
Algebra Key Words
Words or phrases that indicate you should
subtract
157
Algebra Key Words
Watch out for this phrase that indicates you
should subtract
less than
Its tries to trick you! Lets see if you can be
tricked. Write Five less than twice x
correctly. Is it
158
Algebra Key Words
Words or phrases that indicate you should
multiply
159
Algebra Key Words
Words or phrases that indicate you should divide
160
Algebra Terminology
term
A _____ is an algebraic expression that is either
a numeral, a variable, or the product of a
numeral and one or more variables.
Different examples of a term
161
Algebra Terminology
A word that means
Examples
monomial

• 1 term is ________.

binomial

• 2 terms is ________.

trinomial

• 3 terms is ________.

• many terms
• is ___________.

polynomial
162
Algebra Terminology
We can add like terms!
like
To be ____ terms, the bases (typically
variables) and their exponents must be the same.
163
Algebra Terminology
We can NOT add terms if they are NOT like terms!
164
Algebra Facts
We can multiply terms together even if they
are not like terms!
When multiplying terms, multiply the
coefficients and then ___ the exponents of terms
with the same base.
add
165
Algebra Facts
Heres another way to multiply terms. Rewrite
each term, getting rid of all exponents. Then
count how many times each variable appears.
166
Algebra Facts
We can _______ terms, by first reducing the
coefficients
divide
and then asking ourselves two questions
on top
2
2. How many more?
167
Algebra Facts
Heres another way to divide terms. Rewrite
each term, getting rid of all exponents.
168
Algebra Key Words
Words or phrases that indicate you should write
an equation which has an equal sign () in it

• is
• equals
• is equal to
• is the same as

169
Reading Algebraic Symbolism
Words or phrases that indicate you should
write an inequality

• is less than

• is greater than

• is less than or equal to

• is greater than or equal to

• is not equal to

170
Algebra Key Words
Again, watch out for the phrase ________ that
indicates you should subtract.
less than
Its different than the phrase __________ which
indicates you should write an inequality!
is less than
171
Patterns
Elizabeth read M minutes total at the end of W
weeks as shown in the table below. How many
total minutes will Elizabeth have read at the end
of 5 weeks if she continues to read as shown in
the table? At the end of 12 weeks?
Recognize the pattern that the number of minutes
increases by 70 each week.
172
Algebra Key Words
Direct variation
______________ is a relationship between two
variables, x and y, of the form y (some number)
x, where y varies directly as the independent
variable x.
In real life, an example of direct variation
could be as simple as The more candy bars
Sheila wants to buy, the ______ it will cost her.
more
173
Algebra Key Words
Indirect variation
______________ is a relationship between two
variables, x and y, of the form y (some number)
x, where y varies indirectly as the
independent variable x.
In real life, an example of direct variation
could be as simple as The more Tom eats, the
____ hungry he will be.
less
174
Algebra Parent Functions
y
x
175
Algebra Parent Functions
y
x
176
Algebra Parent Functions
y
x
177
Algebra Parent Functions
y
x
178
Algebra Parent Functions
y
x
179
Algebra Parent Functions
y
x
180
Algebra Parent Functions
y
x
181
Circles?
y
x
Is a circle a function?
NO!
182
Coordinate Grid
or y-axis
A coordinate grid is divided into four
__________ by the 2 axes.
vertical axis
quadrants
horizontal axis
183
Coordinate Grid
y
To graph a point, start at the _______ and
x
184
Plot the point (-3,6)
Lines
y
To graph a line, make a _____ and plot each point
in the table.
x
Directions Graph the line y -2x.
185
Lines
y
Information about the ______ of a line
slope
x
186
Lines
y
The slope of a line is
_______ if you can imagine yourself hiking up it
from left to right.
x
187
Lines
y
The slope of a line is
_______ if you can imagine yourself sliding down
it from left to right.
x
188
Lines
y
The slope of a line is
____ if you can imagine yourself walking on a
balance beam (from left to right).
This is a horizontal line!
x
Try it! Pretend you are walking along a balance
beam. Where do your arms go?
Straight out! Your arms form a horizontal line
also!
189
Lines
y
A line has ___ slope if the line is vertical or
if
you can imagine yourself trying to climb a
vertical mountain wall covered in ice.
x
190
Lines
line
The equation of any _____ can be written in
__________ form. Write each of the following
equations in slope-intercept form. Then find the
slope and y-intercept.
191
Lines
If possible, write each of the following linear
equations in slope-intercept form. Then find the
slope and y-intercept.
192
Lines
y
We can graph a _____ by using
line
x
193
Lines
y
The equation of a horizontal line
is always ________________.
x
194
Lines
y
The equation of a vertical line
is always ________________.
x
We can not write this in ymxb form because
there is _________!
NO SLOPE
195
Algebra Terminology
y
zeros
The _____, or _____, of a function are located
where the function intersects the x-axis.
roots
x
196
Algebra Terminology
To find the zeros, or roots, of a function when
given only the equation, set ___ equal to zero
and solve for ___.
y
x
(-3,0) is the zero, or root of this line.
197
The equation of a parabola is
Algebra
Quadratic
y
x
198
Algebra Story Problems
The sum of two consecutive integers is -9. Find
both of those consecutive integers.

• Let n the first consecutive integer
• n1 the second consecutive integer

• (n) (n 1) -9

• 2n 1 -9
• 2n -10
• n -5 (If n -5, then n1 -4.)

• Check Does -5 -4 -9? Yes!

• The 2 consecutive integers are 5 and 4.

199
Algebra Story Problems
The sum of two consecutive even integers is 14.
Find both of those consecutive even integers.

• Let n the first consecutive even integer
• n2 the second consecutive even integer

• (n) (n 2) 14

• 2n 2 14
• 2n 12
• n 6 (If n 6, then n2 8.)

• Check Does 6 8 14? Yes!

• The 2 consecutive even integers are 6 and 8.

200
Mathematics Standard
Data Analysis and Probability
201
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
202
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
203
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?
204
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
205
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)?
206
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
207
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
208
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.
209
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
210
Data Analysis Probability
Thus, to find the number of ____________ (or how
many different groups can be made when order does
NOT matter), divide
combinations
211
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.
212
Data Analysis Probability
Graphs
Scatterplot
Line Plot
213
Data Analysis Probability
Circle Graph
Graphs
360
There are ____ degrees total in any circle.
A circle graph is useful for comparing part to
whole.
214
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
215
Data Analysis Probability
On a Box-and-Whisker Plot, the data is
divided into fourths.
Graphs
216
Data Analysis Probability
Graphs
Box-and-Whisker Plot
217
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
218
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
219
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.
220
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
221
Data Analysis Probability
low
high
222
Data Analysis Probability
When choosing whether to use the mean, median, or
mode
mean
median
mode
223
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!
224
Mathematics Standard
Mathematical Processes
225
Business Math
A dozen eggs costs 1.20. What is the unit price
of an egg?
226
Business Math
Ethan paid for a pair of jeans with two twenty
dollar bills. If the jeans cost 24.99 and
there was a 7 sales tax, how much change did he
receive back?
227
Business Math
Sarah wanted to buy a birthday card that is 15
off. If the card originally cost 3.20, how much
money would she save?
228
Percents Proportions
32 of what is 16?
229
Percents Proportions
If 68 of the registered voters in a city turned
out to vote in Novembers election and 92,412
people actually voted, how many registered voters
are in that city?
230
Percents Proportions
If there are 1,249 students enrolled in American
HS with 637 of them being boys, what percent of
the students are girls?
231
Business Math
If the price of a Radio Fence for dogs
decreases in price from 150 to 120, what is the
percent of decrease?
232
Business Math
If a store marks up a vented kitchen exhaust hood
from 120 to 168, what is the percent of
increase?
233
Business Math
The Fort Pioneers had a gross income from their
4-H Pioneer Days Carnival of 6,785. If their
expenses totaled 3,940, did they earn a profit
or a loss? How much of a profit or loss did
they have?
Since their gross income was more than their
expenses, they earned a profit.
234
Business Math
Ben worked 48 hours this past week, and he
earned a wage of 9.20/hour. What was Bens
gross pay if earned overtime pay (at a rate of
time and a half) for any hours above 40?
235
Business Math
If Savannah earned 456 gross pay, but had 91.20
deducted for taxes, 63.84 deducted for health
care, and 45.60 deducted for savings, what was
her net pay?
236
Business Math
Cheryl had a balance of 1,352.45 in her
checkbook last month. She used her debit card to
buy groceries for 82.35. She wrote checks out
for 132.50, 278.97, and 49.75. And she
deposited a check for 458.95. If the banks
service charge for the month was 2.50, what was
Cheryls new balance?
237
Business Math
When Dan loans 3500 from the bank, is it true
that he will have to pay exactly 3500 back to
the bank?
No! He will have to pay back 3500 plus interest!
238
Business Math
How much interest did Carol earn if she placed
2,350 in a certificate of deposit, or CD, for 24
months at an interest rate of 3¼?
239
The End?