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Byju's Answer
Standard VIII
Mathematics
Raw Data
The following...
Question
The following table shows the marks obtained by 41 students of a class.
Marks obtained
15
17
20
22
25
30
Number of students
2
5
10
12
8
4
Find the median and mean marks.
Using empirical formula, calculate its mode.
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Solution
Number
of
terms
(
N
)
i
s
41
,
which
is
odd
.
Median
=
N
+
1
2
th
observation
=
21
th
observation
=
22
Median
=
22
Mean
=
∑
(
f
i
×
x
i
)
∑
f
i
=
899
41
Mean
=
21
.
92
Using
empirical
formula
:
Mode
=
3
(
Median
)
-
2
(
Mean
)
=
66
-
43
.
84
Mode
=
22
.
16
Hence, the median is 22, the mean is 21.92 and the mode is 22.16.
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Q.
The following table shows the marks obtained by 41 students of a class.
Marks obtained
15
17
20
22
25
30
Number of students
2
5
10
12
8
4
Find the median and mean marks.
Using empirical formula, calculate its mode.