1st Class Survey Group5

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The Use Of Statistics

There Are Two Branches Of Statistics  Descriptive

statistics refers to the methods for SUMMERAZING information so that the information is more useful or can be obtained communicative or effective

4 Examples Of DISCRIPTIVE Statistic: FRENQUECY Table Percent Distribution Bar Graph Pie Chart

Inferential Statistics  Refers

to the procedure used to make GENERALIZATIION from a sample to the larger population from which the sample was drawn  There are two DIFFENT types of MESUREMENTS

Two Types Of Measurements:  Measure

of central tendency which gives us information about the “center” of the way data is distributed  Mean  Mode  Median

 Measurement

dispersion

of

Sample Questions  How

many people in your family, other than you, have attended college?  How many people in your family have graduated from college?  What is your grade point average (G.P.A)?  Do you have a part time or full time or no job?

How Many People in Your Family Graduated From College ?  Descriptive

statistics  Sample numbers: 0, 0,0,0,0,0,0,0,0,1,1, 1,1,1,2,2,2,2,2,2,3, 3,3,4,6

 Frequency  Bar

graph  Pie chart

table

Frequency Table Category Tally

Frequen cy 9

Percent

0

///// ////

37.5%

1

/////

5

20.8%

2

///// /

6

25%

3

//

2

8.3%

4

/

1

4.2%

6

/

1

4.2%

9 8 .

7

.

6

.

5

.

4

. .

3

.

2

..

1

.

0 0

1

2

3

4

6

Pie Chart

37.5 20.8 25 8.3 4.2 4.2

Do You Have a Part Time or Full Time or No Job?

Do You Have A Part Time Full Time or No Job? Categorie Tally s

Frequency percent

No job

///// /

6

22.22%

Part time job

///// /////

10

37.04%

Full time job

///// ///// /

11

40.74%

Do You Have A Part Time or Full Time or No Job? 45.00% 40.00% 35.00% 30.00% 25.00% 20.00% 15.00% 10.00% 5.00% 0.00%

No J ob Part time job Full time job

Bar Graph

No J ob Part Time J ob Full Time J o Slice 4

How Many People in Your Family Other Than You Attended College

 Descriptive

statistics  Sample numbers: 5,3,0,2,1,5,2,0,1,2, 2,1,1,1,1,1,2,3,2,1, 4,2,1,3,2,2

Frequency table  Bar graph  Pie chart

Frequency Table Category

Tally

Frequency Percent

0

//

2

7.7

1

///// ////

9

34.6

2

///// ////

9

34.6

3

///

3

11.5

4

/

1

3.8

5

//

2

7.7

Bar Graph 35.00% 30.00% 25.00% 20.00%

3-D Column 1 3-D Column 2 3-D Column 3

15.00% 10.00% 5.00% 0.00%

0

1

2

3

4

5

Bar Graph 0 1 2 3 4 5

Inferential Statistics  Mean  Median  Mode  Range  Sample

numbers 0,0,1,1,1,1,1,1,1,1, 1,2,2,2,2,2,2,2,2,2, 3,3,3,4,5,5.

Inferential Statistics  Mean=

68/26=2.62  Median= 2+2/2=4/2=2  Mode = 1,2  Range =0+5/2= 2

Xi 0

Xi –X 0-2.6

0

0-2.6

1

1-2.6

1

1-2.6

1

1-2.6

1

1-2.6

1

1-2.6

1

1-2.6

1

1-2.6

1

1-2.6

1

1-2.6

(Xi –X)^2 (-2.6) ^2=6.76 (-2.6) ^2=6.76 (-1.6) ^2=2.56 (-1.6) ^2=2.56 (-1.6) ^2=2.56 (-1.6) ^2=2.56 (-1.6) ^2=2.56 (-1.6) ^2=2.56 (-1.6) ^2=2.56 (-1.6) ^2=2.56 (-1.6) ^2=2.56

Xi 2 2 2 2 2 2 2 2 2 3 3 3

Xi-X 2-2.6 2-2.6 2-2.6 2-2.6 2-2.6 2-2.6 2-2.6 2-2.6 2-2.6 3-2.6 3-2.6 3-2.6

(Xi-X)^2 (-.6 )^2=.36 (-.6)^2=.36 (-.6)^2=.36 (-.6)^2=.36 (-.6)^2=.36 (-.6)^2=.36 (-.6)^2=.36 (-.6)^2=.36 (-.6)^2=.36 (-.4)^2=.16 (-.4)^2=.16 (-.4)^2=.16

Xi

Xi-X

(Xi-X)^2

4

4-2.6

(1.4)^2=1.96

5

4-2.6

(2.4)^2=5.76

5

5-2.6

(2.4)^2=5.76

Standard Deviation  S^2=(Xi-X)^2/  53.76/26

n

=2.1  Take the square root of the number=1.44  The distance that one is from the mean.

What Is Your Grade Point Average? •Excellent •Good •Average •Poor

What Is Your Grade Point Average?  Raw

data:2.1,2.1,2.4,  2.4,2.5,2.5,2.6,2.7, 2.7,2.7,2.7,2.8,2.8, 2.9,3.0,3.0,3.1,3.1, 3.2,3.3,3.5,3.5,3.6, 3.8,4.0

 Descriptive

statistics  Inferential statistics

Frequency Table Categorie Tally s

Frequency Percent

4.0-3.5

/////

5

20%

3.49-2.5

///// ///// ///// ///

18

72%

2.4-1.5

//

2

8%

Bar Graph 80% 70% 60% 50% 3-D Column 1 . .

40% 30% 20% 10% 0%

4.0-3.5

3.49-2.5

2.4-1.5

Pie Chart

4.0-3.5 3.49-2.5 2.4-1.5 Slice 4

Inferential Statistics =Xi/n=2.9  Mode= 2.8  Median=2.7  Mean

Xi 2.1 2.1 2.4 2.4 2.5 2.5 2.6 2.7 2.7 2.7 2.7 2.8

Xi-X 2.1-2.9 2.1-2.9 2.4-2.9 2.4-2.9 2.5-2.9 2.5-2.9 2.6-2.9 2.7-2.9 2.7-2.9 2.7-2.9 2.7-2.9 2.8-2.9

(Xi-X)^2 (-.8)^2=.64 (-.8)^2=.64 (-.5)^2=.25 (-.5)^2=.25 (-.4)^2=.16 (-.4)^2=.16 (-.3)^2=.9 (-.2)^2=.4 (-.2)^2=.4 (-.2)^2=.4 (-.2)^2=.4 (-.1)^2=.1

2.8 2.9 3.0 3.0 3.1 3.1 3.2 3.3 3.5 3.5 3.6 3.8 4.0

2.1-2.8 2.1-2.9 3.0-2.9 3.0-2.9 3.1-2.9 3.1-2.9 3.2-2.9 3.3-2.9 3.5-2.9 3.5-2.9 3.6-2.9 3.8-2.9 4.0-2.9

(-.1)^2=.1 (0)^2=0 (.1)^2=.1 (.1)^2=.1 (.2)^2=.4 (.2)^2=.4 (.3)^2=.9 (.4)^2=.16 (.6)^2=.36 (.6)^2=.36 (1)^2=1 (.9)^2=.81 (1.1)^2=1.21

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