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Mathematics
In a frequency distribution, the mid value of a class is 10 and the width of the class is 6. The lower limit of the class is
Q. In a frequency distribution, the mid value of a class is 10 and the width of the class is 6. The lower limit of the class is
1605
216
Statistics
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A
6
22%
B
7
43%
C
8
25%
D
12
11%
Solution:
Let
x
be the upper limit and
y
be the lower limit.
Since the mid value of the class is 10
∴
2
x
+
y
=
10
⇒
x
+
y
=
20
....(1)
and
x
−
y
=
6
(width of the class = 6) ...(2)
By solving (1) and (2), we get y = 7.
Hence, lower limit of the class is 7.