06 Frequency Distribution Table
Transcript of 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