Data
Displays
Probability
and Sample
Spaces
Independent
and
Dependent
Events
Probability
Experiments
Unbiased and
Biased Samples
Data Displays
Probability
and Sample
Spaces
Independent
and
Dependent
Events
Probability
Experiments
Unbiased and
Biased
Samples
$100 $100 $100 $100 $100
$200 $200 $200 $200 $200
$300 $300 $300 $300 $300
$400 $400 $400 $400 $400
$500 $500 $500 $500 $500
The circle graph shows the results of s
survey in which middle school students
were asked to name one of their
favorite pizza toppings. What percent of
the people surveyed named mushrooms
as their favorite topping?
16
The following graph shows a poll
of how people in an urban city
travel to work each day. What
percent of those polled drive
alone to work each day? Round to
the nearest whole percent.
28%
A group of mothers reported
when their children got their first
tooth. What fraction of the
number of children reported got
their first tooth when they were
six months or older?
4/5
The stem-and leaf plot shows the
points scored by the Harding
Middle School basketball team.
Which measure of central
tendency is most affected?
The mean is
most affected.
The stem-and-leaf plot below
shows the ages of students in a
pottery class. Find the median,
mode, and range of the data.
11, 11, 5
What is the probability,
as a percent, of the
spinner landing on a
number less than 3?
37.5%
The records of a sporting
goods store show that one
out of every 4 balls
purchased is a football.
What is the probability
that a football will NOT be
purchased when a ball is
purchased?
¾
An ice cream parlor offers
two different flavors of ice
cream: chocolate or vanilla; 3
types of syrups: fudge,
caramel, or marshmallow;
and 2 choices of topping:
with or without sprinkles.
How many possible choices
are there?
12
Joe’s Jerseys sells 9 different
styles of hats in several
different colors for 2 different
sports teams. If the company
makes 108 kinds of hats, how
many different colors do they
make?
6
A bakery offers white, chocolate, or
yellow cakes with white or
chocolate icing. There are also 24
design that can be applied to the
cake. If all orders are equally likely,
what is the probability that a
customer will order a white cake
with white icing in a specific
design?
1/144
Mr. Bruen is holding four straws of
different lengths. He has asked four
students to each randomly pick a
straw to see who goes first in a
game. Max picks first, gets the
second longest straw, and keeps it.
What is the probability that
Brandon will pick the longest straw
if he picks second?
1/3
Each customer at a sporting goods
store gets to spin the arrow on the
spinner twice for a discount on their
total purchase. If the sections on
the spinner are congruent, what is
the probability that the spinner will
land on a section for $10 off and
then on a sections for $5 off?
3/32
The spinners below are each
spun once. What is the
probability of spinning 2 and
white?
1/16
A jar of beads contains 6
aqua beads, and 4 black
beads. If two beads are
selected at random, with
replacement, what is the
probability that both
beads will be aqua?
9/25
Raul used the method for
dependent events. Spinning
the spinner twice represents
two independent events. The
probability of getting an even
number is 2/5 each time. So
the correct answer is 4/25.
A number cubes is rolled
20 times and lands on 1
two times and on 5 four
times. Find the
experimental probability
of landing on 5.
1/5
A number cubes is
rolled 20 times and
lands on 1 two times
and on 5 four times.
Find the experimental
probability of not
landing on 1.
9/10
A spinner with three equalsized sections marked A, B,
and C is spun 100 times.
What is the theoretical
probability of landing on A?
1/3
A spinner with three equal-sized
sections marked A, B, and C is
spun 100 times. The results of
the experiment are shown in the
table. What is the experimental
probability of landing on A? of
landing on C?
6/25 and 13/50
The experimental
probability of a coin
landing on heads is
7/12. If the coin landed
on tails 30 times, find
the number of tosses.
72
Name three
ways to conduct
an unbiased
sample.
Simple Random Sample
Stratified Random
Sample
Systematic Random
Sample
To determine how much money the
average American family spends to
cool their home, 100 Alaskan
households are surveyed at random.
Of the households, 85 said that they
spend less than $75 per month on
cooling. The researcher concluded
that the average American
household spends less than $75 on
cooling per month. Is this valid?
Justify your answer.
The conclusion is invalid.
This is a biased sample,
since people in other
states would spend much
more than those in
Alaska. The sample is a
convenience sample
since all the people are
from the same state.
To determine the most important
company benefit, one our of every
five employees is chosen at random.
Medical insurance was listed as the
most important benefit by 67% of
the employees. The company
managers conclude that medical
insurance should be provided to all
employees. Is the conclusion valid?
Justify your answer.
The conclusion
is valid. This is
an unbiased,
stratified
random
sample.
Maci surveyed all the members or her softball
team about their favorite sport. From these
results, Maci concluded that softball was the
favorite sport among all her classmates. Which
is the best explanation for why her conclusion
might NOT be valid?
1. The softball team meets only on weekdays
2. She should have asked only people who do
not play sports
3. The survey should have been done daily for a
week
4. The sample was not representative of all of
her classmates
4. The sample was
not representative
of all of her
classmates
Ms. Gibbs determined that 60% of the students in her
classes brought an umbrella to school when the
weather forecast predicted rain. If she has a total of 10
students, which statement does NOT represent Ms.
Gibbs’ data?
1.
On days when the rain is forecast, less than 2/5 of
her students bring an umbrella to school
2.
On days when rain is forecast, 90 of her students
bring an umbrella to school
3.
4.
On days when rain ins forecast, most than ½ of
her students bring an umbrella to school
On days when rain is forecast, 60 of her students
do not bring an umbrella to school
1. On days when the
rain is forecast,
less than 2/5 of
her students
bring an umbrella
to school