Name:________________________________________________________________________________Date:_____/_____/__________
Compound Probability: INDEPENDENT EVENTS
1. The table to the right shows the types of dessert
and drink selections at a party. Mark will
randomly select one type of dessert and one drink
from these choices. What is the probability that he
will select cake and punch?
Type of Dessert
Drink
Cake
Punch
Fruit Kabob
Water
______ x ______ = ______
2. You have a bag of 15 marbles. Five are red and 10 are purple. What is the
probability of drawing a red marble, putting it back in the bag (replacing it), and
then drawing a purple marble?
______ x ______ = ______
Compound Probability: DEPENDENT EVENTS
3.
You have a bag of 15 marbles. Five are red and 10 are purple. What is the
probability of drawing a red marble, putting it aside (no replacement), and then
drawing a purple marble?
______ x ______ = ______
4.
You have a bag of 15 marbles. Five are red and 10 are purple. What is the
probability of drawing a red marble, putting it aside (no replacement), and then
drawing ANOTHER red marble?
______ x ______ = ______
5.
If there are 13 Diamonds in a deck of 52 shuffled cards, what is the probability of
drawing a Diamond, keeping it (no replacement), and then drawing ANOTHER
Diamond?
______ x ______ = ______
Today’s Lesson:
What:
analyzing graphs and
histograms
Why:
To review and analyze the circle
graph, line plot, stem-and-leaf plot,
and frequency table; and to create
and analyze histograms (emphasis on
histograms).
Vocabulary:
Circle Graph-- used to show parts out of a larger
whole
___________________
. The entire circle represents
100%.
frequency
Line Plot– used to show _______________________
of
data along a number line.
Stem-and-Leaf Plot– used to organize data by
place value
______________________________.
The stem represents
the greatest place value digits, and the leaves
represent the ____________________
place value digits.
smallest
Frequency Table– used to organize intervals of
numerical data according to how often each
interval ________________________
(frequency).
occurs
Histogram-- uses bars to represent equal
____________________
of numerical data. Each bar
intervals
represents an interval. Bars in a histogram MUST
_________________
!
TOUCH
Examples:
1. CIRCLE GRAPH:
ANALYZE THE GRAPH:
1. What category represents the smallest part of the
Milton’s family budget? Savings (6%)
2. What category represents the largest part of the Milton’s
family budget? Food (33%)
3. Using this graph, is it possible to know the
specific amount of money spent on food
each month?
No
2.
STEM-AND-LEAF PLOT:
REMEMBER! For a group of numbers, the MEAN means
AVERAGE; the MEDIAN means MIDDLE; and the MODE
means MOST FREQUENT!!!
ANALYZE THE GRAPH:
1. How many total temperatures were recorded in this plot?
9
2. How many temperatures were between 70-79 degrees?
3
3. What is the mode of the data? 63 degrees
4. What is the range of the data?38 degrees
5. Is it possible to calculate the mean of the data? yes
3.
LINE-PLOT:
ANALYZE THE GRAPH:
1. How many students are represented in this line plot?
27 students
2. What is the mode of the data?
7
3. What is the range of the quiz scores?
7
4. Is it possible to calculate the mean of the data?
yes
5. Is there an outlier in the data? If so, what?
Yes. The outlier is “3.”
histograms:
Again, a histogram is a type of bar graph– except
intervals
that the bars show equal ______________
of numerical
data. The height of each bar represents the
_____________________,
while the width of each bar
frequency
represents how big each interval is.
We often use a frequency table of data in order to
create a histogram.
Create a histogram from a frequency table:
The below frequency table is using intervals of
five
_______________________.
Fill-in the frequency column
and create the histogram. REMEMBER, the bars
TOUCH
must ______________________________!!
Height
Of trees
(ft.)
Tally
Frequency
60-64
3
65-69
3
70-74
8
75-79
10
80-84
5
85-89
2
Fill-in a frequency table from a histogram:
The below histogram is using intervals of ___________________
ten
.
Use the height of the bars to fill-in the missing information
in the frequency table.
score
20-29
30-39
40-49
50-59
60-69
70-79
80-89
90-99
(plus 100%)
Tally
Frequency
1
2
1
2
6
9
13
5
Create a histogram from our class data!!
Let’s survey the students in our class to see how many pets
we own! We will record our data in the below frequency
table. Then, we will create a histogram from the data.
# of Pets
0-2
3-5
6-8
9-11
12 and
above
Tally
Frequency
ANALYZE THE GRAPH:
1. What are the intervals being used in this graph?
intervals of 10
2. How many students scored below an 80%?
11
3. How many students scored an 80% or above?
19
4. What conclusion(s) can be drawn about the overall
performance of the class on this particular quiz/test?
Overall, the class performed well. The majority scored
a B or higher, while only 3 scored below a C.
homework
IXL: AA.8
AA.9
NAME:_________________________________________________________________________________ DATE: ______/_______/_______
Math-7 NOTES
What:
analyzing graphs and histograms
Why: To review and analyze the circle graph, line plot, stem-and-leaf plot, and
frequency table; and to create and analyze histograms (emphasis on histograms).
Vocabulary:
Circle Graph-- used to show parts out of a larger ___________________ . The entire circle
represents 100%.
Line Plot– used to show _______________________ of data along a number line.
Stem-and-Leaf Plot– used to organize data by ______________________________. The stem
represents the greatest place value digits, and the leaves represent the
____________________ place value digits.
Frequency Table– used to organize intervals of numerical data according to how often
each interval ________________________ (frequency).
Histogram-- uses bars to represent equal ____________________ of numerical data. Each
bar represents an interval. Bars in a histogram MUST _________________ !
Examples:
1.
CIRCLE GRAPH:
ANALYZE THE GRAPH:
1. What category represents the smallest part
of the Milton’s family budget?
2. What category represents the largest part of
the Milton’s family budget?
3. Using this graph, is it possible to know the
specific amount of money spent on food
each month?
REMEMBER!
For a group of numbers, the MEAN means AVERAGE; the MEDIAN means MIDDLE;
and the MODE means MOST FREQUENT!!!
2.
STEM-AND-LEAF PLOT:
ANALYZE THE GRAPH:
1. How many total temperatures were
recorded in this plot?
2. How many temperatures were between
70-79 degrees?
3. What is the mode of the data?
4. What is the range of the data?
5. Is it possible to calculate the mean of the
data?
3.
LINE-PLOT:
ANALYZE THE GRAPH:
1. How many students are represented in
this line plot?
2. What is the mode of the data?
3. What is the range of the quiz scores?
4. Is it possible to calculate the mean of the
data?
5. Is there an outlier in the data? If so, what?
histograms:
Again, a histogram is a type of bar graph– except that the bars show equal ______________
of numerical data. The height of each bar represents the _____________________, while the
width of each bar represents how big each interval is.
We often use a frequency table of data in order to create a histogram.
Create a histogram from a frequency table:
The below frequency table is using intervals of _______________________. Fill-in the frequency column
and create the histogram. REMEMBER, the bars must ______________________________!!
Height
Of trees
(ft.)
Tally
Frequency
60-64
65-69
70-74
75-79
80-84
85-89
Fill-in a frequency table from a histogram:
The below histogram is using intervals of ___________________ . Use the height of the bars to fill-in the
missing information in the frequency table.
score
20-29
30-39
40-49
50-59
60-69
70-79
80-89
90-99
(plus 100%)
Tally
Frequency
Create a histogram from our class data!!
Let’s survey the students in our class to see how many pets we own! We will record our data in the
below frequency table. Then, we will create a histogram from the data.
# of
Pets
Tally
Frequency
0-2
3-5
6-8
9-11
12 and
above
ANALYZE THE GRAPH:
1. What are the intervals being used in this
graph?
2. How many students scored below an
80%?
3. How many students scored an 80% or
above?
4. What conclusion(s) can be drawn about
the overall performance of the class on
this particular quiz/test?
IXL: AA.8 and AA.9
NAME: _______________________________________________________________________________ DATE: ______/_______/_______
Remember, a line
graph shows
change over time.
NAME: _______________________________________________________________________________ DATE: ______/_______/_______
Compound Probability: INDEPENDENT EVENTS
PROBLEM/WORK
1. The table to the right shows the types of
dessert and drink selections at a party.
Joe will randomly select one type of
dessert and one drink from these choices.
What is the probability that he will select
a cupcake and milk?
ANSWER
Type of Dessert
Drink
Brownie
Milk
Cupcake
Juice
CHECK
Cookie
2. If there is one King of Diamonds in a deck of 52 shuffled cards, what
is the probability of drawing the King of Diamonds, putting it back in
the deck (replacing it), shuffling the deck, and then drawing the same
card again?
______ x ______ = ______
3. You have a bag of 10 marbles. Three are green and 7 are black. What
is the probability of drawing a black marble, putting it back in the
bag, and then drawing a green marble?
Compound Probability: DEPENDENT EVENTS
PROBLEM/WORK
4. You have a bag of 10 marbles. Three are green and 7 are black. What
is the probability of drawing a black marble, putting it aside (no
replacement), and then drawing a green marble?
______ x ______ = ______
5.
You have a bag of 10 marbles. Three are green and 7 are black. What
is the probability of drawing a black marble, putting it aside, and
then drawing ANOTHER black marble?
______ x ______ = ______
6. If there are 13 Hearts in a deck of 52 shuffled cards, what is the
probability of drawing a Heart, keeping it, and then drawing
ANOTHER Heart?
ANSWER
CHECK
Experimental vs. Theoretical Probability
PROBLEM/WORK
ANSWER
1. There are 4 red skittles, 2 yellow skittles, 6 green skittles, and 8
orange skittles in a bag. What is the probability of randomly
selecting a red or yellow skittle – P(red or yellow) ?
2. Is problem #1 (above) an example of experimental or theoretical
probability?
3. Marissa has attempted 55 free throws. Of those attempted, 15 have
gone in the basket. What is the probability that Marissa’s next free
throw attempt will go in the basket?
4. Is problem #3 an example of experimental or theoretical
probability?
5. If a standard number cube is rolled 25 times, what is the expected
number of times a “2” or “3” will land face up (round answer to the
nearest whole number)?
______ = ______
6. The spinner shown was spun 20 times. Out of 20 spins, it landed on
the number “3” 4 times. Compare the experimental probability with
thetheoretical probability.
Experimental probability: ________
Theoretical probability: ________
COMPARE THE RESULTS HERE:
WRITE
YOUR
ANSWERS
IN THE
SPACE TO
THE LEFT.
NOT HERE.
CHECK