06 frequency distribution table

8/13/2019 06 Frequency Distribution Table

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FrequencyDistribution Table


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Frequency Distribution Table

is a table which shows the data

arranged into different classes and

the number of cases which fall into

each class


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Definition of Terms in FDTClass Frequency

- the number of observations falling in the class

Class Interval

- the number defining a class

Class Limits

- the end numbers of class

Lower Limits

Upper Limits


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Definition of Terms in FDTClass Boundaries

- half unit below the lower limit and half a unit

above the upper limit (lower cb – upper cb)Class Width or Sie of Class Interval

- the number of test scores contained in each

class

Class !ar"

- midpoint of a class interval2

LLUL x

+=


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Definition of Terms in FDTSimple Frequency #istribution $able

- consists only of class interval and frequency

Class Interval %ci& Frequency %f&

3 – 8 1

9 – 1 !

1" – #$ 8

#1 – #%

#! – 3# 11

33 – 38 8

39 – !

" – "$

& ' "$

class width '

%UL ( LL& ) * ' +


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Definition of Terms in FDTComplete Frequency #istribution $able

- has class mar and class boundaries of each class

Class Interval %ci& Frequency %f& Class !ar" %,& Class Boundary %cb&

3 – 8 1 "" #" – 8"

9 – 1 ! 11" 8" – 1"

1" – #$ 8 1!" 1" – #$"

#1 – #% #3" #$" – #%"

#! – 3# 11 #9" #%" – 3#"

33 – 38 8 3"" 3#" – 38"

39 – ! 1" 38" – "

" – "$ !" " – "$"

& ' "$


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Steps in Constructing the FDT1 *ecide on the number of classes

# *etermine the class width (i)

classesof number

valuelowest valuehighest i −

=

3 +tart the lowest class with the lowest value of

the raw data, in order to minimie the errors

.ally the frequencies for each class, until the

highest value is reached


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Steps in Constructing the FDT" .he last class interval can go beyond the

highest value in the observation as long as

the obtainedi

is followed


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Constructing FDT

"8)1$

8

1$

"$98i ≈==

−=


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Constructing FDTClass

Interval %ci&$ally Frequency

%f&Class

!ar" %,&Class Boundary

%cb&

"$ – " llllllllll 1$ "# 9" – ""

"" – "9 lll 3 "! "" – "9"

%$ – % llllllll 8 %# "9" – %"

%" – %9 lllllllllllll 13 %! %" – %9"

!$ – ! lllllllllllllllll 18 !# %9" – !"

!" – !9 lllllllllllllllllll 18 !! !" – !9"

8$ – 8 llllllllllllllllllllll ## 8# !9" – 8"

8" – 89 lllllllllllll 13 8! 8" – 89"

9$ – 9 llll 9# 89" – 9"

9" – 99 l 1 9! 9" – 99"

& ' 11$


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Relative Frequency Distribution

)(# N nsobservatioof

frequencyclassrf =

is a table which lists the relative

frequencies of the classes

%100×= rf rfp


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Relative Frequency DistributionClass

Interval %ci&Frequency %f& -elative

Frequency %rf&-elative Frequency

.ercentage %rfp&

"$ – " 1$ $$9$9 9$9/

"" – "9 3 $$#!3 #!3/

%$ – % 8 $$!#! !#!/

%" – %9 13 $118# 118#/

!$ – ! 18 $1%3% 1%3%/

!" – !9 18 $1%3% 1%3%/

8$ – 8 ## $#$$$ #$/

8" – 89 13 $118# 118#/

9$ – 9 $$3% 3%/

9" – 99 1 $$$91 $91/

& ' 11$


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Cumulative Frequency Distribution

is a table which shows the number of

cases falling below a particular value

Less than Cumulative Frequency %/cf&

0reater than Cumulative Frequency %1cf&

-shows the number of observation less than

0pper lass 2oundaries

-shows the number of observation greater than

ower lass 2oundaries


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ClassInterval %ci&

Frequency%f&

Class Boundary%cb&

Less $hanCumulative

Frequency %/cf&

0reater $hanCumulative

Frequency %1cf&

"$ – " 1$ 9" – "" 1$ 11$

"" – "9 3 "" – "9" 13 1$$%$ – % 8 "9" – %" #1 9!

%" – %9 13 %" – %9" 3 89

!$ – ! 18 %9" – !" "# !%

!" – !9 18 !" – !9" !$ "8

8$ – 8 ## !9" – 8" 9# $

8" – 89 13 8" – 89" 1$" 18

9$ – 9 89" – 9" 1$9 "

9" – 99 1 9" – 99" 11$ 1

& ' 11$

Cumulative Frequency Distribution

06 frequency distribution table

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