Question No. 5
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For the data given below:
so
Marks obtained
Below 10
Below 20
Below 30
Below 40
Below 50
No. of students
5
16
28
42
72
. if x is the class mark of the modal class and y is the upper limit of the median class, then the value of
(2x + y)
15
O 130
O 125
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Version - 1720521
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1
Answer:
In the given frequency distribution , h=10
Class 20−30 has maximum frequency. i.e., 25
Therefore, 20−30 is the model class in which l=20 and f
m
=25.
Here, f
1
=12 and f
2
=13
Mode=l+(
2f
m
−f
1
−f
2
f
m
−f
1
)×h
=20+(
50−12−13
25−12
)×10
=20+
25
130
=20+5.2
=25.2 (Ans)
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