# Module 4 Unit 2 Notes by kccervenka

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```									                                           November 30, 2012

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PROBLEM OF THE WEEK!
November 30, 2012
November 30, 2012

Frequency Tables, Stem-and-Leaf Plots, and Line Plots
The table below shows how many cars of each color were parked at
a shopping mall at 10 AM on a Saturday.

Color of Car                           Tally                             Frequency

Red                 1111 1111 1111 11
Blue                1111 1111 1111 1111 1
Gray                1111 1111 1111 1111 1111 1111 1
Gold                1111 1111 1
Green               1111 1111
Black               1111 1111 1111 1111

1. Create a frequency table by writing the numbers for each frequency.

You can organize the frequency numbers using a stem-and-leaf plot. For
example, the stem for 17 (the number of red cars) will be 1, the leaf will be 7.
2. Complete the stem-and-leaf plot. For each
stem, order the leaves from least to greatest.                           Stems      Leaves

0        9
1

2

3

Example 1:                                                                                 Key:

The list shows the average high temperatures for 20 cities on one February day. Make a
cumulative frequency table of the data. How many cities had average high temperatures
below 59 degrees?

69, 66, 65, 51, 50, 50, 44, 41, 38, 32, 32, 28, 20, 18, 12, 8, 8, 4, 2, 2

February Temperatures in 20 Cities
Average Highs             Frequency          Cumulative Frequency

__________cities had average high temperatures below 59 degrees.

Example 2:

The data shows the number of years coached by the top 15 leaders in alltime NFL
coaching victories. Make a stem-and-leaf plot of the data. Then find the number of
coaches who coached fewer than 25 years.
33, 40, 29, 33, 21, 23, 23, 22, 19, 21, 18, 23, 15, 15, 15

Example 3:
Make a line plot of the data. How many hours per day did Morgan babysit
most often?

M       T      W      Th         F    S      Su
Wk 1        0       6       4      6     5        8        2
Wk 2        2        7      7      7         0    6        8
Wk 3        0       6       8      5         6    1        2
Wk 4        4       8       4      3         3     6       0

0    1     2    3       4   5   6   7   8
November 30, 2012
November 30, 2012

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Mean, Median, Mode, and Range Notes

Mean-­‐
______________of
the
values
_____________________by
total
numbers

Median-­‐
_________________________number

Mode-­‐
value
occurs
the
_____________________
(most
popular)

Range-­‐
diﬀerence
between
the
largest
and
the
_______________________________values

Outlier-­‐
an
_______________________
value
(number
that
does
not
ﬁt
in
with
the
rest
of
the
data)

Example
1:

Find
the
mean,
median,
mode,
and
range
of
the
data
set.
4,

7,

8,

2,

1,

2,

4,

2

Mean:                                                                                                                   Mode:

Median:                                                                                                                   Range:

Example
2:

The
line
plot
shows
the
number
of
miles
each
of
the
17
members
of
the
cross-­‐country
team
ran
in

a
week.

Which
measure
of
central
tendency
best
describes
these
data?

JusMfy
your

X
X                                                                   X
X       X                                                           X X
X       X X                                                         X X
X       X X                                                       X X X

4            6            8           10           12        14    16

Example
3:

The
data
shows
Sara’s
scores
for
the
last
5
math
tests:

88,
90,
55,
94,
and
89.

IdenMfy
the
outlier
in
the
data
set.

Then
determine
how
the
outlier
aﬀects
the
mean,
median,
and
mode
of
the
data.

Then
tell
which
measure
of

central
tendency
best
describes
the
data
with
the
outlier.

Outlier:

With
the
outlier                                                             Without
the
outlier
Mean:                                                                                                         Mean:

Median:                                                                                                        Median:

Mode:                                                                                                          Mode:

Range:                                                                                                          Range:

Example
4:

Find
the
mean,
median,
mode,
range,
and
outlier
of
the
data
set.
November 30, 2012

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PROBLEM OF THE WEEK!
November 30, 2012
Bar Graphs and Histograms Notes

Example 1:
Use the bar graph to answer each question.

Most Widely Spoken Language

English
Hindi
Mandarin
Spanish
0   200      400    600    800      1,000
Number of speakers (millions)

A.      Which language has the least number of native speakers?

The bar for__________ is the shortest, so______________has the least number of native speakers.

B.      About how many more people speak Hindi than Spanish?

About________________more people speak Hindi than Spanish.

Example 2:

The table shows the highway speed limits on interstate roads within three states.
Make a double-bar graph of the data.

State           Urban                     Rural
Florida       65 mi/h                     70 mi/h
Texas         70 mi/h                     70 mi/h
Vermont       55 mi/h                     65 mi/h

Example 3:
The table below shows the number of hours students watch TV in one week. Make a
histogram of the data.

Number of Hours of TV
1     ll                          6 lll
2     lll                         7 llll

llll
Number of Hours of TV Frequency
3     llll

llll            8 lll
4     llll

l               9 llll
5     llll

lll
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PROBLEM OF THE WEEK!
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Reading and Interpreting Circle Graph Notes

Example 1:

Use the circle graph to answer each question.

A.         Which group of echinoderms includes the fewest
number of species?

B.          Approximately what percent of echinoderm species are brittle stars and basket stars?

C.         Which group is made up of a greater number of species, sea cucumbers or sea stars?

Example 2:
Leon surveyed 30 people about pet ownership. The circle graph shows his results. Use the graph to

A.      How many people own dogs only?

B.      How many people own both cats and dogs?

Check It Out!
1.   Use the circle graph to answer the question. Approximately what percent of
cars were midsize?

2. Fifty students were asked which instrument they could play. The circle graph
shows the responses. Use the graph to answer the question. Ten students said
they play the piano. How many play the flute?

3. Decide whether a bar graph or circle graph would best display the information. Explain your

The percent of people buying a certain color of a new vehicle

Example 3:

Decide whether a bar graph or circle graph would best display the information. Explain

A.         the percent of U.S. population living in the different states

B.         the number of tickets sold for each night of a school play
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PROBLEM OF THE WEEK!
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Box-and-Whisker Plots Notes
Vocabulary

box-and-whisker plot

lower quartile

upper quartile

interquartile range

Example 1:

Use the data to make a box-and-whisker plot.

73, 67, 75, 81, 67, 75, 85, 69

Example 2:

Use the box-and-whisker plots to answer each question below.

A.      Which set of heights of players        B.     Which players have a greater
has the greater median?                       interquartile range?

C.    Which group of players has more predictability in their height?

Check It Out!

1.        Use the data to make a box-and-whisker plot.
42, 22, 31, 27, 24, 38, 35

2.        Use the box-and-whisker plots below to answer the question. Which shoe store has a
greater interquartile range?
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November 30, 2012

Line Graphs Notes
Example 1:

Make a line graph of the data in the table. Use the graph to determine during which 2-hour
period did the temperature change the most.

Example 2:

Use the graph to estimate the population of Florida in 1950.

Example 3:

The table shows stock prices for two stocks in one week. Make a double-line graph of the data.

Check It Out!

1.         Make a line graph of the data in the table. Use the graph to determine between which two
months was the increase in number of homes sold the greatest.

2.      Use the graph to estimate the population of Florida in 1970.

3.         This table shows stock prices for two stocks in one week. Make a double-line graph of the data.
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PROBLEM OF THE WEEK!
November 30, 2012

Choosing an Appropriate Display Notes

Example 1:
A.     The students want to create a display to show each species of butterfly as a
percentage of all species in the butterfly family. Which type of graph would they use?
Explain.
Each listed species is______________of

the______________population.

A_______________shows how a set of data

is divided into parts.

B.        The students want to create a display to show the relationship between the species of
butterflies in the park. Choose the type of graph that would best represent the data.
Explain.

A_____________________shows species do not__________________________ but

are in the butterfly family.

Example 2:
The table shows the number of visitors to
the butterfly park during a four-month period.

Explain why each kind of display below would
or would not appropriately represent the data.

A. Circle Graph                               B. Bar Graph

D. Line Graph
C. Line Plot

Check It Out!

1.        The students want to create a display to show the total number of roses in the garden and
see which ones occurred more frequently. Which type of graph should they use? Explain.

2.     The table shows the weights of 4 animals at the Animal Sanctuary. Does the line graph
below appropriately represent the same data? Explain.
November 30, 2012

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PROBLEM OF THE WEEK!
November 30, 2012

Populations and Samples Notes
Vocabulary

population

sample

random sample

convenience sample

biased sample

Example 1:
Determine which sampling method will better represent the entire population. Justify

Example 2:

Determine whether each sample may be biased. Explain.

A.       The mayor surveys 100 supporters at a rally about the most important issues to be addressed
by the city council.

B.      The principal sends out questionnaires to all of the students to find out what kind of music
students prefer at dances.

Example 3:
A principal of a school with 1,500 students estimates that about 400 students will attend a
band festival on Saturday. A random sample of 25 students showed that 6 of them will attend.
Determine whether the principal’s estimate is likely to be accurate.

Set up a proportion to predict the total number of students that will attend.

students attending in sample         students attending in population

size of sample                       size of population

Check It Out!
1.        Determine which sampling method will better represent the entire population. Justify your

Sampling Method                                   Results
Pedro surveys the offense on his football team         87% said the quarterback was the
on who was the team's more valuable player             most valuable player.

Chad surveys 5 players from the offense and 5
65% said the quarterback was the
players from the defense on his football team on
most valuable player.
who was the team's most valuable player.

2.      Determine whether the sample may be biased. Explain. The owner of a record shop
surveys only customers over the age of 18 who shop at his store.

3.         The owner of a large chain restaurant with 1,200 employees estimates that about 250
employees will ask for winter vacation. A random sample of 40 employees showed that 8
of them will ask for the time off. Determine whether the owner’s estimate is likely to be
accurate.
November 30, 2012
November 30, 2012

Scatter Plots Notes

Example 1:
Use the data to make a scatter plot. Describe the relationship between the data sets.

Example 2:
Write positive correlation, negative correlation, or no correlation to describe
each relationship.

A. Population increase with area.

B. Height and number of vacation days

Check It Out!
1. Use the data to make a scatter plot. Describe the relationship between the data sets.

2. Write positive correlation, negative correlation, or no correlation to
describe each relationship.
November 30, 2012

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PROBLEM OF THE WEEK!
November 30, 2012

Example 1:
Which graph could be misleading? Why?

Example 2:
Explain how you could redraw the graphs so it would not be misleading.

Check It Out!

2.      Explain how you could redraw the graph so it would not be misleading.
November 30, 2012

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