6. CLASS INTERVAL TALLY FREQUENCY
(F)
CLASS MARK
(X)
< CF FX C.B
35-39 11111 5 12 40 60 34.5-39.5
30-31
11111-1 6 17 35 102 29.5-34.5
25-29 11 2 22 29 44 24.5-29.5
20-24 11111-11 7 27 27 189 19.5-24.5
15-19 11111-11111-11 12 32 20 384 14.5-19.5
10-14 11111-111 8 37 8 296 9.5-14.5
N=40 Fx=1027
FREQUENCY DISTRIBUTION TABLE
7. =
fx
n
= 1075
40
=26.725 Mean
MEAN
FX= 1075
N=40
THE SUM OF THE FX IN
THE FREQUENCY TABLE
THE SUM OF THE
FREQUENCY(F) IN
FREQUENCY TABLE
fx
n
=
FORMULA FOR
MEAN
8. =Lbmd
n
2
fmd
.(i)
+
X
~
40
LBmd=24.5
THE LOWER BOUNDERY IN FREQUENCY TABLE ,
YOUCAN FIND IT BY DIVIDING YOUR N OR TOTAL
FREQUENCY BY 2 AND LOOK FOR <CF AND THERE
YmdOU CAN FIND YOUR LOWER BOUNDERY.
THIS IS THE DIVISION OF N OR FREQUENCY BY 2.
<cfb=7
THIS IS THE LESS THAN COMULATIVE FREQUENCY
WHERE YOU CAN IN THE LOWER PART OF 15.
Fmd=5 THIS THE FREQUENCY
i=5
THIS IS THE CLASS SIZE ,
WHICH IS ALREADY GIVEN
MEDIAN
X
~
= LBmd +
2
n -<cf
b
fmd
.i FORMULA FOR MEDIAN
<CFB
9. =Lbmd+( )
d1
d1+d2 .(i)
= 24.5
+
( 5
)
5+-5 5
=
= 24.5
24.5 5
0 )5
+(25)
= 24.5+ 25
= 49.5 Mode
+ LBmd=24.
5
THIS IS THE LOWER BOUNDERY, WHICH
YOU CAN FIND BY LOCATING THE
NUMBER WITH A HIGHEST FREQUENCY.
D1=5
THIS IS THE D1 WHICH YOU CAN FIND BY
SUBTRACTING THE NUMBER WITH THE
HIGHEST FREQUENCY TO ITS LOWER PART
D2=5
THIS IS THE D2 ,THIS IS THE OPPOSITE
OF D1 , YOU CAN FIND IT BY
SUBTRACTING THE NUMBER WITH A
HIGHEST FREQUENCY TO ITS UPPER
PART
i=5 THIS IS THE CLASS SIZE , IT
IS ALREADY GIVEN
MODE
X̂ = LBmd +( )
D1+d2
d1
.i FORMULA FOR MODE
(