1st Class Survey Group5
Transcript of 1st Class Survey Group5
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The Use Of StatisticsThe Use Of Statistics
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There Are Two Branches OfThere Are Two Branches Of
StatisticsStatistics
Descriptive statistics refers to theDescriptive statistics refers to the
methods for SUMMERAZINGmethods for SUMMERAZING
information so that the informationinformation so that the informationis more useful or can be obtainedis more useful or can be obtained
communicative or effectivecommunicative or effective
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4 Examples Of DISCRIPTIVE4 Examples Of DISCRIPTIVE
Statistic:Statistic:
FRENQUECY TableFRENQUECY TablePercent DistributionPercent Distribution
Bar GraphBar Graph
Pie ChartPie Chart
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Inferential StatisticsInferential Statistics
Refers to the procedure used toRefers to the procedure used to
make GENERALIZATIION from amake GENERALIZATIION from a
sample to the larger population fromsample to the larger population from
which the sample was drawnwhich the sample was drawn
There are two DIFFENT types ofThere are two DIFFENT types of
MESUREMENTSMESUREMENTS
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Two Types Of Measurements:Two Types Of Measurements:
Measure of centralMeasure of central
tendency whichtendency which
gives usgives us
information aboutinformation aboutthe center of thethe center of the
way data isway data is
distributeddistributed
MeanMean
ModeMode
MedianMedian
Measurement ofMeasurement of
dispersiondispersion
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Sample QuestionsSample Questions
How many people in your family,How many people in your family,
other than you, have attendedother than you, have attended
college?college?
How many people in your familyHow many people in your family
have graduated from college?have graduated from college?
What is your grade point averageWhat is your grade point average
(G.P.A)?(G.P.A)?
Do you have a part time or full timeDo you have a part time or full time
or no job?or no job?
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How Many People in Your FamilyHow Many People in Your Family
Graduated From College ?Graduated From College ?
DescriptiveDescriptive
statisticsstatistics
Sample numbers:Sample numbers:
0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,1,1,
1,1,1,2,2,2,2,2,2,3,1,1,1,2,2,2,2,2,2,3,
3,3,4,63,3,4,6
Frequency tableFrequency table
Bar graphBar graph
Pie chartPie chart
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Frequency TableFrequency Table
4.2%1/6
4.2%1/4
8.3%2//3
25%6///// /2
20.8%5/////1
37.5%9///// ////0
PercentFrequency
TallyCategory
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01234
567
89
0 1 2 3 4 6
.
.
.
.
.
.
.
..
.
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Pie ChartPie Chart
37.5
20.825
8.3
4.2
4.2
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Do You Have a Part Time orDo You Have a Part Time or
Full Time or No Job?Full Time or No Job?
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Do You Have A Part Time FullDo You Have A Part Time Full
Time or No Job?Time or No Job?
40.74%11///// ///// /Full timejob
37.04%10///// /////Part timejob
22.22%6///// /No job
percentFrequencyTallyCategories
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Do You Have A Part Time orDo You Have A Part Time or
Full Time or No Job?Full Time or No Job?
0.00%
5.00%10.00%
15.00%
20.00%
25.00%
30.00%
35.00%
40.00%
45.00%
No Job
Part time job
Full time job
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Bar GraphBar Graph
No Job
Part Time Job
Full Time Jo
Slice 4
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Frequency TableFrequency Table
7.72//5
3.81/4
11.53///3
34.69///// ////234.69///// ////1
7.72//0
PercentFrequencyTallyCategory
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Bar GraphBar Graph
0.00%
5.00%
10.00%
15.00%
20.00%
25.00%
30.00%
35.00%
0 1 2 3 4 5
3-D Column 1
3-D Column 2
3-D Column 3
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01
2
3
4
5
Bar Graph
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Inferential StatisticsInferential Statistics
MeanMean
MedianMedian
ModeMode
RangeRange
Sample numbersSample numbers
0,0,1,1,1,1,1,1,1,1,0,0,1,1,1,1,1,1,1,1,
1,2,2,2,2,2,2,2,2,2,1,2,2,2,2,2,2,2,2,2,3,3,3,4,5,5.3,3,3,4,5,5.
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Inferential StatisticsInferential Statistics
Mean= 68/26=2.62Mean= 68/26=2.62
Median= 2+2/2=4/2=2Median= 2+2/2=4/2=2
Mode = 1,2Mode = 1,2Range =0+5/2= 2Range =0+5/2= 2
(Xi X)^2Xi XXi
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(-1.6)^2=2.561-2.61
(-1.6)^2=2.56
1-2.61
(-1.6)^2=2.56
1-2.61
(-1.6)^2=2.56
1-2.61
(-1.6)^2=2.56
1-2.61
(-1.6)^2=2.56
1-2.61
(-1.6)^2=2.56
1-2.61
(-1.6)^2=2.56
1-2.61
(-1.6)^2=2.56
1-2.61
(-2.6)
^2=6.76
0-2.60
(-2.6)^2=6.76
0-2.60
(Xi X)^2Xi XXi
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(-.4)^2=.163-2.63
(-.4)^2=.163-2.63
(-.4)^2=.163-2.63
(-.6)^2=.362-2.62
(-.6)^2=.362-2.62
(-.6)^2=.362-2.62
(-.6)^2=.362-2.62
(-.6)^2=.362-2.62
(-.6)^2=.362-2.62
(-.6)^2=.362-2.62(-.6)^2=.362-2.62
(-.6 )^2=.362-2.62
(Xi-X)^2Xi-XXi
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(2.4)^2=5.765-2.65
(2.4)^2=5.764-2.65
(1.4)^2=1.964-2.64
(Xi-X)^2Xi-XXi
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What Is Your Grade PointWhat Is Your Grade Point
Average?Average?
ExcellentExcellent
GoodGood
AverageAveragePoorPoor
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What Is Your Grade PointWhat Is Your Grade Point
Average?Average?RawRaw
data:2.1,2.1,2.4,data:2.1,2.1,2.4,
2.4,2.5,2.5,2.6,2.7,2.4,2.5,2.5,2.6,2.7,
2.7,2.7,2.7,2.8,2.8,2.7,2.7,2.7,2.8,2.8,2.9,3.0,3.0,3.1,3.1,2.9,3.0,3.0,3.1,3.1,
3.2,3.3,3.5,3.5,3.6,3.2,3.3,3.5,3.5,3.6,
3.8,4.03.8,4.0
DescriptiveDescriptive
statisticsstatistics
Inferential statisticsInferential statistics
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Frequency TableFrequency Table
8%2//2.4-1.5
72%18///// ////////// ///
3.49-2.5
20%5/////4.0-3.5
PercentFrequencyTallyCategories
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Bar GraphBar Graph
0%
10%
20%
30%
40%
50%
60%
70%
80%
4.0-3.5 3.49-2.5 2.4-1.5
3-D Column 1
.
.
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Pie ChartPie Chart
4.0-3.5
3.49-2.5
2.4-1.5
Slice 4
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Inferential StatisticsInferential Statistics
Mean =Mean =Xi/n=2.9Xi/n=2.9
Mode= 2.8Mode= 2.8
Median=2.7Median=2.7
(Xi X)^2Xi XXi
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(-.1)^2=.12.8-2.92.8
(-.2)^2=.42.7-2.92.7
(-.2)^2=.42.7-2.92.7(-.2)^2=.42.7-2.92.7
(-.2)^2=.42.7-2.92.7
(-.3)^2=.92.6-2.92.6
(-.4)^2=.162.5-2.92.5
(-.4)^2=.162.5-2.92.5
(-.5)^2=.252.4-2.92.4
(-.5)^2=.252.4-2.92.4
(-.8)^2=.642.1-2.92.1
(-.8)^2=.642.1-2.92.1
(Xi-X) 2Xi-XXi
( 1)^2 12 1 2 82 8
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(.3)^2=.93.2-2.93.2
(.9)^2=.813.8-2.93.8
(1.1)^2=1.214.0-2.94.0
(1)^2=13.6-2.93.6
(.6)^2=.363.5-2.93.5
(.6)^2=.363.5-2.93.5
(.4)^2=.163.3-2.93.3
(.2)^2=.43.1-2.93.1
(.2)^2=.43.1-2.93.1
(.1)^2=.13.0-2.93.0
(.1)^2=.13.0-2.93.0
(0)^2=02.1-2.92.9
(-.1)^2=.12.1-2.82.8
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