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Byju's Answer
Standard X
Mathematics
Finding Mode for Ungrouped Data
The marks in ...
Question
The marks in the science of
80
students of class X are given below: Find the mode of the marks obtained by the students in science.
Marks:
0-10
10-20
20-30
30-40
40-50
50-60
60-70
70-80
80-90
90-100
Frequency:
3
5
16
12
13
20
5
4
1
1
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Solution
Marks
Frequency
0-10
3
10-20
5
20-30
16
30-40
12
40-50
13
50-60
20
60-70
5
70-80
4
80-90
1
90-100
1
N = 80
As frequency is maximum for the class
50
−
60
, modal class is
50
−
60
.
M
o
d
e
=
l
+
f
1
−
f
0
2
f
1
−
(
f
0
+
f
2
)
×
h
where,
l
=
lower limit of modal class
=
50
f
1
=
frequency of modal class
=
20
f
0
=
frequency of class preceeding the modal class
=
13
f
2
=
frequency of class succeeding the modal class
=
5
h
=
higher limit - lower limit
=
60
−
50
=
10
M
o
d
e
=
50
+
20
−
13
2
×
20
−
(
13
+
5
)
×
10
m
o
d
e
=
50
+
7
22
×
10
=
50
+
3.18
=
53.18
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Similar questions
Q.
The marks in science of
80
students of class X are given below. Find the mode of the marks obtained by the students in science
C.I.
0-10
10-20
20-30
30-40
40-50
50-60
60-70
70-80
80-90
90-100
Freq.
3
5
16
12
13
20
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4
1
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Q.
The marks in science of 80 students of class X are given below: Find the mode of the marks obtained by the students in science.
Marks:
0−10
10−20
20−30
30−40
40−50
50−60
60−70
70−80
80−90
90−100
Frequency:
3
5
16
12
13
20
5
4
1
1