understanding central tendency properties in statistics l.
Download
Skip this Video
Loading SlideShow in 5 Seconds..
Understanding Central Tendency Properties in Statistics PowerPoint Presentation
Download Presentation
Understanding Central Tendency Properties in Statistics

Loading in 2 Seconds...

play fullscreen
1 / 18

Understanding Central Tendency Properties in Statistics - PowerPoint PPT Presentation


  • 305 Views
  • Uploaded on

In Statistics, Measures of Central Tendency are numerical values that locate, in some sense, the centre of a set of data. The term average is often associated with all measures of central tendency.

loader
I am the owner, or an agent authorized to act on behalf of the owner, of the copyrighted work described.
capcha
Download Presentation

PowerPoint Slideshow about 'Understanding Central Tendency Properties in Statistics' - assignment_maker


An Image/Link below is provided (as is) to download presentation

Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author.While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server.


- - - - - - - - - - - - - - - - - - - - - - - - - - E N D - - - - - - - - - - - - - - - - - - - - - - - - - -
Presentation Transcript
numerical data properties measures
Numerical DataProperties & Measures

Numerical Data

Properties

Central Tendency

RelativeStanding

Variation

Mean

Range

Percentiles

Interquartile Range

Median

Z–scores

Variance

Mode

Standard Deviation

www.HelpWithAssignment.com

slide3

n

X

i

X

X

X

1

2

n

1

i

X

n

n

Mean
  • Measure of central tendency
  • Most common measure
  • Acts as ‘balance point’
  • Affected by extreme values (‘outliers’)
  • Formula (sample mean)
  • www.HelpWithAssignment.com
slide4

Raw Data: 10.3 4.9 8.9 11.7 6.3 7.7

X

X

X

X

X

X

X

1

2

3

4

5

6

1

X

n

6

10

.

.

8

9

11

.

6

3

.

6

.

30

  • www.HelpWithAssignment.com
numerical data properties measures5
Numerical DataProperties & Measures

Numerical Data

Properties

RelativeStanding

Central

Variation

Tendency

Percentiles

Mean

Range

Median

Interquartile Range

Z–scores

Mode

Variance

Standard Deviation

  • www.HelpWithAssignment.com
median
Median
  • Measure of central tendency
  • Middle value in ordered sequence
      • If n is odd, middle value of sequence
      • If n is even, average of 2 middle values
  • Position of median in sequence
  • Not affected by extreme values

n

1

Positioning

Point

2

  • www.HelpWithAssignment.com
median example odd sized sample
Median Example Odd-Sized Sample
  • Raw Data: 24.1 22.6 21.5 23.7 22.6
  • Ordered: 21.5 22.6 22.6 23.7 24.1
  • Position: 1 2 3 4 5

n

1

5

1

Positioning

Point

3

.

0

2

2

Median

22

.

6

  • www.HelpWithAssignment.com
median example even sized sample
Median Example Even-Sized Sample

Raw Data: 10.3 4.9 8.9 11.7 6.3 7.7

Ordered: 4.9 6.3 7.78.9 10.3 11.7

Position: 1 2 34 5 6

n

1

6

1

Positioning

Point

3

.

5

2

2

7

.

7

8

.

9

Median

8

.

30

2

  • www.HelpWithAssignment.com
numerical data properties measures9
Numerical DataProperties & Measures

Numerical Data

Properties

RelativeStanding

Central

Variation

Tendency

Range

Mean

Percentiles

Interquartile Range

Median

Z–scores

Mode

Variance

Standard Deviation

  • www.HelpWithAssignment.com
slide10
Mode
  • Measure of central tendency
  • Value that occurs most often
  • Not affected by extreme values
  • May be no mode or several modes
  • May be used for quantitative or qualitative data
  • www.HelpWithAssignment.com
mode example
Mode Example
  • No ModeRaw Data: 10.3 4.9 8.9 11.7 6.3 7.7
  • One ModeRaw Data: 6.3 4.9 8.9 6.3 4.9 4.9
  • More Than 1 ModeRaw Data: 21 28 28 41 4343
  • www.HelpWithAssignment.com
thinking challenge
Thinking Challenge

You’re a financial analyst for Prudential-Bache Securities. You have collected the following closing stock prices of new stock issues: 17, 16, 21, 18, 13, 16, 12, 11.

Describe the stock pricesin terms of central tendency.

  • www.HelpWithAssignment.com
central tendency solution
Central Tendency Solution

Mean

n

X

i

X

X

X

1

2

8

i

1

X

n

8

17

16

21

18

13

16

12

11

8

15

.

5

  • www.HelpWithAssignment.com
central tendency solution14
Central Tendency Solution

Median

  • Raw Data: 17 16 21 18 13 16 12 11
  • Ordered: 11 12 13 16 16 17 18 21
  • Position: 1 2 3 4 5 6 7 8

n

1

8

1

4

.

5

Positioning Point

2

2

16

16

Median

16

2

  • www.HelpWithAssignment.com
central tendency solution15
Central Tendency Solution

Mode

Raw Data: 17 16 21 18 13 16 12 11

Mode = 16

  • www.HelpWithAssignment.com
summary of central tendency measures
Summary of Central Tendency Measures

Measure

Formula

Description

Mean

Balance Point



X

/

n

i

Median

(

n

+1)

Middle Value

Position

2

When Ordered

Mode

none

Most Frequent

  • www.HelpWithAssignment.com
helpwithassignment com
HelpWithAssignment.com
  • At HelpWithAssignment.com we provide best quality Assignment help, Homework help, Online Tutoring and Thesis and Dissertation help as well. For any of the above services you can contact us at http://www.helpwithassignment.com/ andhttp://www.helpwithassignment.com/statistics-assignment-help
  • www.HelpWithAssignment.com
helpwithassignment com18
HelpWithAssignment.com
  • You can follow us on our blogs at http://helpwithassignment.blogspot.com/ and

http://helpwithassignment.wordpress.com/

Thank You

  • www.HelpWithAssignment.com