Topics in Mathematics<=
o:p>
Chapter 13 Homework
Assignments
Section 13.1 2, 7,
13, 15-23 odds
Section 13.3 1, 3,
7, 9, 13, 15, 19, 25, 29
Section 13.4 1-25
odds
Section 13.5 1-25
odds
Section 13.6 1, 3,
5, 11-25 odds
Section
13.1: Sampling Techniques
Statistics:
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Data:
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Descriptive
Statistics:
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Inferential
Statistics:
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Population:
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Sample:
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Biased
Sample:
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Unbiased
Sample:
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Random
Sample:
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Systematic
Sample:
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Cluster
Sampling: <=
/b>
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Stratified
Sample:
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Convenience
Sampling: <=
/b>
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p;
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Example: A factory makes bowling balls. There are four colors (red, white,=
blue
and black), and 7 weights (10 oz – 16 oz). The bowling balls are packed into =
crates
of 20 to be shipped. Determin=
e the
type of each of the following samples.
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A) Every
50th bowling ball is selected for the sample.
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sp;
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B) Each
bowling ball produced is assigned a number. A computer then randomly generates
numbers. The bowling balls th=
at
match these numbers are included in the sample.
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C) The
first 100 bowling balls off the assembly line are chosen for the sample.
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D) Bowling
balls are separated into colors and weights. A random sample is then taken from=
each
of the groups.
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E) =
Random
crates are selected and all balls in the selected crates are used for the
sample.
Section 13.3: Frequency Distribution:=
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Example: We will poll the class for year of=
car
driven and arrange the data as a frequency distribution.
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Frequency Distribution=
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Year
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87=
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88=
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89=
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90=
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91=
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92=
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93=
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94=
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95=
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96=
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Responses=
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Year
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97=
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98=
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99=
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00=
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01=
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02=
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03=
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04=
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05=
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06=
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Responses=
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Data Grouped by Classe=
s:
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Class Width:
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Grouping Rules
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1)
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2)
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3)
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Example: Construct a frequency distribution=
for
the data we collected with the first class 1985-1988.
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Frequency Distribution=
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Modal Class:
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Midpoint of a Class (C=
lass
Mark): =
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Example: We will poll the class for number =
of
credits currently taking. The=
n construct
a frequency distribution appropriately grouping the data by classes.
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13.4 Statistical Graphs
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Circle Graph:
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Create a Circle Graph<=
o:p>
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1)
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2)
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3)
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p;
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Example: A recent poll was taken=
of
people’s favorite color. The following
frequency distribution shows the results.&=
nbsp;
Create a circle graph.
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Favorite Color<=
/o:p>
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Number
|
Percent of Total
|
Angle Measure
|
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Blue
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58=
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Red
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42=
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Yellow
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36=
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Green
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18=
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Orange
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12=
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Totals
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|
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<=
/o:p>
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Example: Create a circle graph b=
ased
on the frequency distribution and classes generated for the model year of c=
ars
driven.
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Histogram:<=
b>
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p;
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p;
Example: A recent poll was taken of the ave=
rage
number of hours students sleep at night.&n=
bsp;
The following frequency distribution shows the results. Create a histogram.
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Hours of Sleep<=
/o:p>
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90
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80
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70
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60
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50
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40
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30
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20
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10
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0
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Number
of Students
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5<=
/b>
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3<=
/b>
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6<=
/b>
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18=
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7<=
/b>
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62=
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8<=
/b>
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86=
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9<=
/b>
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39=
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10=
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8<=
/b>
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11=
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1<=
/b>
|
![](3D"Chapter13SkeletonNotes_files/image004.gif")
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Example: Create a histogram base=
d on
the frequency distribution and classes generated for the model year of cars
driven.
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Frequency Polygon:
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Stem-and-Leaf Plot:
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Example: An experiment was
conducted on lung capacity.
Participants were asked to hold their breath for as long as
possible. Following are the r=
esults
are in seconds. Create a
stem-and-leaf plot.
32 46 51 39 64
54 27 38 41 50
32 69 72 44 50
65 54 55 30 49
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Example: Create a stem-and-leaf =
plot
based on the results of the model year of cars driven.
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Section 13.5 Measures of Central Tendency:
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We will u=
se the
following data sets throughout our examples.
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Set 1 =3D=
{8, 6, 5,
9, 8}
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Set 2 =3D=
{18, 22,
8, 25, 16, 17, 26}
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Set 3 =3D=
{59, 62,
66, 48, 59, 62, 72, 59}
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Mean(![](3D"Chapter13SkeletonNotes_files/image008.gif")
):
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Example: Find means of the above data sets.=
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Median:<=
span
style=3D'font-size:14.0pt;mso-bidi-font-size:12.0pt'>
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p;
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Example: Find medians of the above data set=
s.
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Mode:
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Example: Find modes of above data sets.
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Midrange:
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Midrange =3D=
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Example: Find midranges of above data sets.=
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Section 13.6 Measures of Dispersion:=
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We will u=
se the
following data sets throughout our examples.
&nbs=
p;
Set 1 =3D=
{8, 6, 5,
9, 8}
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p;
Set 2 =3D=
{18, 22,
8, 25, 16, 17, 26}
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p;
Set 3 =3D=
{59, 62,
66, 48, 59, 62, 72, 59}
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Range:
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Range =3D
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Example: Find ranges of above data sets.
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Standard Deviation:
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Standard Deviation of =
a Set
of Data
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sp;
1)
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2)
=
=
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sp;
3)
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4)
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sp;
5)
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sp;
6)
Example: Find the standard deviation of dat=
a set
1.
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1) Mean
=3D 7.2
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2)
|
Data
|
Data – Mean
|
(Data – Mean)<=
sup>2
|
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6<=
/b>
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/b>
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/b>
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8<=
/b>
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Total
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5)
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6)
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Example: Find the standard deviation of dat=
a set
2.
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Example: Find the standard deviation of dat=
a set
3.
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