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Byju's Answer
Standard X
Mathematics
Finding Median for Grouped Data When Class Intervals Are Given
Given the fol...
Question
Given the following distribution table:
Class
0
−
5
5
−
10
10
−
15
15
−
20
20
−
25
Frequency
10
15
12
20
9
The sum of lower limits of the Median class and the Modal class is:
A
15
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B
25
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C
30
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D
35
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Solution
The correct option is
B
25
Answer:-
The cumulative frequency Table is:-
Class
Frequency
Cumulative frequency
0-5
10
10
5-10
15
25
10-15
12
37
15-20
20
57
20-25
9
66
Here,
N
2
=
66
2
=
33
Thus
37
is just greater than
33
,
∴
The median class is "
10
−
15.
"
The lower limit of the median class is 10.
Modal class = class with maximum frequency.
∴
Modal class is
15
−
20.
The lower limit of the modal class is
15
.
Sum of lower limits of median class and modal class =
10
+
15
=
25
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0
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Q.
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Question 6
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The lower limit of the modal class of the following data is:
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−
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−
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−
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Q.
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5
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10
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