CHAP 2 FREQUENCY DISTRIBUTION.pdf

7/24/2019 CHAP 2 FREQUENCY DISTRIBUTION.pdf

1/23

Topic 2 : FrequencyDistribution

Associate Professor Dr. Zaleha Binti IsmailSiti Nurashiken Binti Md. Sabudin

Statistic for EducationalResearch

MPU1!"


2/23

Regular frequency distributionGrouped FrequencyDistributions

HistogramPolygons

InterpolationPercentile rank

Percentile


3/23

Frequency Distributions

Descriptive statistical techniques should be

performed by the researcher after collectingdata to organize the data in order to get ageneral picture of the results

! frequency distribution is a method fororganizing the data


4/23

Frequency Distributions "#$Frequency distribution is a summary of

data that sho%s frequency or numbersaccording to the scale of measurement! frequency distributionis the distributionof values that provide an overvie% of the

sample


5/23

Frequency Distribution &ables&he table has t%o columns'Column Xrepresent list of categories on a scale

of measurement "($

)olumn Y to represent the numbers of frequencyof each (

&he sum of the frequencies should be equal to *+sample size


6/23

Frequency Distribution &ables "#$

,ther columns can be added-&he third column represent the proportion "p$

for each category' p . f/* &he sum of the pcolumn must be equal to 011&he fourth column represent percentage

distribution that correspond to each value of (&he percentage is obtained by multiplying p by011 &he total percentage is 011


7/23

Regular Frequency Distribution

! regular frequency distribution table listall the ( values


8/23

Grouped Frequency Distribution2ometimes the set of score has a long listof ( values + so it should be simplified by

using a grouped frequency distributiontableIn this table+ ( column called as classintervals+ not individual values

)lass intervals should be in the samerange such as #+ 3+ 01 and etc


9/23

Frequency Distribution Graphs

! frequency distribution graph have scorecategories "( values$ on the ( a4is and the

frequencies on the 5 a4is&he shape of graph depend on the scorecategories6hen the scores are of an interval or ratio

scale+ the graph %ill be a histogramor apolygon


10/23

Histograms

! histogram consists of tabularfrequencies+ sho%n as ad7acent rectangles+

erected %ith an area equal to the frequencyof the observations in the interval &heheight of a rectangle is also equal to thefrequency density of the interval &he totalarea of the histogram is equal to the numberof data


11/23

1 2 ! " $

$

1

1$

2

2$

UPSR Result

Number of As

Frequency

( f

3 0#

8 01

9 #1

# 03

0 0#

00 : 08 03;0< #1;#8 #3;#< 91;98 93;9< 81;88

1

3

01

03

#1

#3

!ge of 2tudents in !=> ?ath )lass

!ge

*ood

2tudents

( f

81;88 8

93;9< @

91;98 01

#3;#< #1

#1;#8 03

03;0< 09

Histograms "#$


12/23

Polygons

1 0 # 9 8 3 A B

1

3

01

03

#1

#3


13/23

1 0 # 9 8 3 A B @ nglish !rts

1

#

8

A

@

01

0#

2tudentsC Favourite 2ub7ect

2ub7ect

*oof2tudents


16/23

Relatif frequency is appropriate to dispalyfrequency distribution for large population

Relative frequency


17/23

Relative frequency "#$

Graduated *on; Graduated

&eachersC Population

ualification

*o

ofteachers

C111


18/23

2mooth curve

1 01 #1 91 81 31 33 A1 B1 @1


19/23

2mooth curve

Symmetrical Distribution

Skewed Distribution


20/23

Percentiles and Percentile Ranks+

and Interpolation&he relative location of score can beidentified by percentiles and percentile

ranks&he percentile rank for a score is thepercentage of individual %ith scores equal to

or less than the score&he particular score is referred as apercentile


21/23

)lass Frequency )umulative Frequency )umulative E

!rif 83 83 ##3E

=estari 81 @3 8#3E

)emerlang 9@ 0#9 A03E

Dinamik 81 0A9 @03E

>lit 9B #11 011E

Percentiles and Percentile Ranks+and Interpolation

What is the !th"ercentile#


22/23

Percentiles and Percentile Ranks+and Interpolation "#$


23/23

Percentiles and Percentile Ranks+and Interpolation

CHAP 2 FREQUENCY DISTRIBUTION.pdf

Documents

Transcript of CHAP 2 FREQUENCY DISTRIBUTION.pdf