Component on Steps of

Central Tendency

Measures of Central

Tendency

There are many ways of describing of a

provided set of info. A good number of descriptive

measures can be found in statistics whose make use of depends

typically on the character of data plus the intended

purpose of the description. This evaluate is the

measures of placement or central tendency, it is

use to see how a large group of raw materials can

be described so that the significant essential

may be extracted via it.

The most commonly procedures of central

tendency would be the mean, typical, and method.

Properties of the Arithmetic Suggest

п‚§

п‚§

п‚§

п‚§

п‚§

simple to compute

clear and understandable

valuable in statistical tool

strongly influence by simply extreme ideals,

this is especially true if the number

of cases is usually small

can not be compute when ever distribution

includes open-ended time periods

Uses of Mean

п‚§

п‚§

п‚§

п‚§

for interval and ratio dimension

when best sampling balance is

wanted

when the distribution is shaped

about the center

when we want to know the " center of

gravityвЂќ of the sample

The Arithmetic Suggest (X)

The most famous and valuable measure of central tendency is definitely the arithmetic mean, which simply refer to as the mean. Widely referred to in day-to-day usage because the average.

The mean of the set of dimension is defined as,

sum of measurements

mean sama dengan -----------------------------------number of measurements In formula contact form,

пЃ“ Xi

X sama dengan --------N

Exactly where:

N = total number of measurements

Times = symbolize the indicate

Xi = represents the individual scores

The symbol пЃ“ is a Ancient greek letter sigma, which means sum of. In plain language, the math is attained merely by adding the individual scores and separating the quantity by the quantity of scores.

Imply (ungrouped data)

пЃ“ Xi

X1 & X2 & X3 & X4 &

X5 + вЂ¦ + Xn

Back button = ---------------=

-----------------------------------------------------N

In

Raw data: 15

пЃ“Xi

X sama dengan ------------------- sama dengan

N

16

19

twenty

18

12-15 + 16 + 19 + 20 + 18

--------------------------------------------------------------5

sama dengan 17. 6th

Some values sometimes receive

importance than others. In such example, the

measured mean is definitely computed.

The formula in computing the weighted

indicate is,

пЃ“WX

X = ----------n

in which: W = weight of each and every item or

value

Times

= symbolize each of the

things

n

sama dengan total number of

weights

Case: Determine the weighted indicate if,

five-hundred bags had been sold at P250. 00 each, 350

bags at P200. 00 each, 200 bags at P150. 00

every single, 150 hand bags at P100. 00 every single and 60 bags

at

P80. 00 each.

Option:

[500 x 250] + [350 x 200] + [200 x 150] + [150 x 100] + [50 x 80]

X = --------------------------------------------------------------------------------500 + three hundred and fifty + two hundred + 150 + 60 P 244, 000. 00

X = -------------------1250

Back button = P195. 20

Strategies of Computing Suggest of

a Grouped Division

There are two methods that may

be used in calculating the mean of

a assembled distribution. 1

method is referred to as the lengthy method

as well as the other is called the short or

coded deviation approach

Long Technique

пЃ“ farrenheit midpoint

Times = ------------------N

Where:

пЃ“ f midpoint = algebraic sum of all of the

product of frequency as well as the midpoint

And = number of cases or

findings

Example: Get the indicate of the pursuing distribution.

By

50

forty seven

44

41

38

35

32

up to 29

26

23

вЂ“

вЂ“

вЂ“

вЂ“

вЂ“

вЂ“

вЂ“

вЂ“

вЂ“

вЂ“

f

52

49

46

43

forty

37

34

31

28

25

two

2

you

1

a few

8

your five

1

5

2

And = 23

midpoint

50 вЂ“ 52

47 вЂ“ 49

two

2

forty-four вЂ“ 46

41 вЂ“ 43

one particular

1

35

35

thirty-two

29

вЂ“ 40

вЂ“ 37

вЂ“ 34

вЂ“ 31

five

8

five

1

twenty six вЂ“ twenty eight

4

51

4

8

45

forty two

39

thirty six

33

40

2

two

74

Back button

fmidpoint

55

47

44

41

32

35

32

29

twenty six

23

вЂ“

вЂ“

вЂ“

вЂ“

вЂ“

вЂ“

вЂ“

вЂ“

вЂ“

вЂ“

52

49

46

43

45

37

thirty four

31

28

25

f

2

two

1

one particular

5

almost 8

5

you

4

a couple of

N = 31

midpoint

51

twenty four

45

40

39

thirty six

33

35

27

twenty four

102

96

45

forty two

195

288

165

40

108

forty eight

пЃ“ f midpt = 1119

Simply by long method;

пЃ“ n midpoint

By =...

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