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JEE Main Math Class 12 Statistics Part 1 Questions
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© examsnet.com
Question : 97
Total: 115
The frequency distribution of daily working expenditureof families in a locality is as follows:
Expenditurein Rs. (x ):
0-50
50-100
100-150
150-200
200-250
No. offamilies (f):
24
33
37
b
25
If the mode of the distribution is Rs.140, then the value of bis
[Online May 7, 2012]
34
31
26
36
Validate
Solution:
Frequency distribution is given as
Expenditure
No. of families (f)
0-50
24
50-100
33
100-150
37
150-200
b
200-250
25
Clearly, modal class is 100-150, as the maximum frequency occurs in this class.
Given, Mode = 140
We have
Mode
=
l
+
f
0
−
f
−
1
2
f
0
−
f
−
1
−
f
1
×
i
where
l
=
100
,
f
0
=
37
,
f
−
1
=
33
,
f
1
=
b
i
=
50
Thus, we get
140
=
100
+
[
37
−
33
2
(
37
)
−
33
−
b
]
×
50
=
100
+
[
4
74
−
33
−
b
]
×
50
=
100
+
200
41
−
b
⇒
5740
=
4300
+
40
b
⇒
b
=
36
© examsnet.com
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