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Byju's Answer
Standard XII
Mathematics
Frequency Distributions
The mean of t...
Question
The mean of the following frequency distribution is 53. Find the value of y.
Classes Frequency
0-20 12
20-40 15
40-60 32
60-80 y
80-100 13
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Solution
Dear Student,
C
l
a
s
s
e
s
F
r
e
q
u
e
n
c
y
f
i
M
i
d
C
l
a
s
s
V
a
l
u
e
x
i
f
i
x
i
0
-
20
12
10
120
20
-
40
15
30
450
40
-
60
32
50
1600
60
-
80
y
70
70
y
80
-
100
13
90
1170
T
o
t
a
l
72
+
y
3340
+
70
y
R
e
c
a
l
l
t
h
e
m
e
a
n
,
G
i
v
e
n
;
F
r
e
q
u
e
n
c
y
d
i
s
t
r
i
b
u
t
i
o
n
=
53
x
=
∑
f
i
x
i
∑
f
i
53
=
3340
+
70
y
72
+
y
3816
+
53
y
=
3340
+
70
y
70
y
-
53
y
=
3816
-
3340
17
y
=
476
y
=
476
17
y
=
28
Regards
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