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Byju's Answer
Standard X
Mathematics
Finding Mode for Grouped Data When Class Intervals Are Given
Find the mean...
Question
Find the mean, mode and median of marks obtained by
20
students in an examination. The marks are given below.
Marks
0
−
10
10
−
20
20
−
30
30
−
40
40
−
50
No. of students
1
4
5
8
2
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Solution
M
a
r
k
s
M
i
d
−
v
a
l
u
e
x
i
N
o
.
o
f
f
r
e
q
u
e
n
c
y
f
i
c
.
f
f
i
x
i
0
−
10
5
1
1
5
10
−
20
15
4
5
60
20
−
30
25
5
10
125
30
−
40
35
8
18
280
40
−
50
45
2
20
90
∑
f
i
=
20
∑
f
i
x
i
=
560
⇒
M
e
a
n
(
¯
¯
¯
x
)
=
∑
f
i
x
i
∑
f
i
=
560
20
=
28
⇒
Modal class
=
30
−
40
So,
l
=
30
,
f
0
=
5
,
f
1
=
8
,
f
2
=
2
and
h
=
10
⇒
M
o
d
e
=
l
+
f
1
−
f
0
2
f
1
−
f
0
−
f
2
×
h
=
30
+
8
−
5
2
×
8
−
5
−
2
×
10
=
30
+
3.33
∴
M
o
d
e
=
33.33
⇒
Here,
n
=
20
, then
n
2
=
20
2
=
10
∴
Median class
=
20
−
30
So,
c
.
f
=
5
,
f
=
5
,
l
=
20
and
h
=
10
⇒
M
e
d
i
a
n
=
l
+
N
2
−
c
.
f
f
×
h
=
20
+
10
−
5
5
×
10
=
20
+
10
∴
M
e
d
i
a
n
=
30
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0
Similar questions
Q.
Find the mode of the following frequency distribution of marks obtained by
50
students.
Marks obtained
0
−
10
10
−
20
20
−
30
30
−
40
40
−
50
No. of students
5
12
20
10
3
Q.
Calculate the arithmetic mean by assumed mean method for the data given below.
Marks
0
−
10
10
−
20
20
−
30
30
−
40
40
−
50
50
−
60
No. of students
5
10
25
30
20
10
Q.
Compute the mean marks obtained by the students from the following data:
Marks
0−10
10−20
20−30
30−40
40−50
No. of Students
4
6
10
20
10
Q.
The following distribution shows the marks scored by
140
students in examination. Calculate the mode of the distribution.
Marks
0
−
10
10
−
20
20
−
30
30
−
40
40
−
50
Number of stu.
20
24
40
36
20
Q.
Following is the distribution of marks of 50 students in a class:
Marks (more than)
:
0
10
20
30
40
50
No of students
:
50
46
40
20
10
3
Calculate the Median Marks . If 60% of students pass this examination , find out the minimum marks obtained by a pass candidate.
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