Find the Mean of the following data
45-55 55-65 65-75 75-85 es-
f 3,10,11,8,3
S
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Here frequency of class interval 75−85 is maximum.
So, it is the modal class
Now l = lower limit of modal class =75
f
1
= frequency of modal class=10
f
0
=frequency of class preceding the modal class =3
f
2
= frequency of class succeeding the modal class =7
h= class interval width =10
So, Mode =l+(
2f
1
−f
0
−f
2
f
1
−f
0
)×h
=75+(
2×10−3−7
10−3
)×10
=75+(
20−10
7
)×10
=75+7
=82
Mode=82
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