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Byju's Answer
Standard X
Mathematics
Finding Mode for Grouped Data When Class Intervals Are Given
The mode of t...
Question
The mode of the following distribution is
Class Interval:
1-5
6-10
11-15
16-20
21-25
Frequency:
4
7
10
8
6
A
14.5
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B
16.5
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C
10.5
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D
13.5
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Solution
The correct option is
C
13.5
Modal group = 11-15 , since it has the highest frequency i.e
10
.
Estimated Mode
M
=
L
+
f
m
−
f
m
−
1
f
m
−
f
m
−
1
+
f
m
−
f
m
+
1
×
w
Lower class boundary of modal group
L
=
10.5
Frequency of group before the modal group
f
m
−
1
=
7
Frequency of Modal group
f
m
=
10
Frequency of group after the modal group
f
m
+
1
=
8
Group width
w
=
5
∴
M
=
10.5
+
10
−
7
10
−
7
+
10
−
8
×
5
=
10.5
+
3
5
×
5
=
13.5
hence, option
D
is correct.
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i
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