Question

the median of the following data is 33,31,48,45,41,92,78,51 and 61. if 92 is replaced by 26 what will the new median​

Answer 1

Answer:

33,31,48,45,41,92,78,51,61

arrange the data in ascending order

31,33,41,45,48,51,61,78,92

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

arrange the data in ascending order

31,33,41,45,48,51,61,78,92

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