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Question

# Find the median for the following data given below:âˆ’X4âˆ’77âˆ’1010âˆ’1313âˆ’14F2532

A
11
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B
10
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C
9
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D
8
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Solution

## The correct option is C 9XF(f)Cumulative frequency (cf)4−7227−1052+5=710−1337+3=1013−14210+2=12n=Σf=12n2=122=6Median =l+(n2−cff)×hn=Σf= total number of frequency =12n2=122=6So, the median class is 10−13L= Lower limit of median class =10cf= Cumulative frequency of the class preceding the median class =7f= frequency of the median class =3h= class width =3Therefore, Median =l+⎛⎜ ⎜⎝n2−cff⎞⎟ ⎟⎠×h=10+⎛⎜ ⎜ ⎜⎝122−73⎞⎟ ⎟ ⎟⎠×3=10+(6−73)×3=10−1=9Hence, the median is 9

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