Find out the median from the following : 57 58 61 42 38 65 72 66 88.
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Answer:
given that
41,43,127,99,61,92,71,58,57
arrange the data in ascending order
41,43,57,58,61,71,92,99,127
Here observe that No' of observations (n) are odd i.e n=9
So median is
2
n+1
th term
Median =
2
n+1
th term =
n
9+1
th term
=5 th term
=61
58 is replaced by 85
then new data is
41,43,57,85,61,71,92,99,127
arrange the data in ascending order
41,43,57,61,71,85,92,99,127
Here observe that no's observation are odd i.e n=9
So
median is
2
n+1
th term
Median =
2
9+1
th term
=5th term
=71
∴ new median =71
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