If the median of 33m 28, 20, 25, 34, x is 29, find the maximum possibl

1.	If the median of 33m 28, 20, 25, 34, x is 29, find the maximum possible value of x.
Answer» There are 6 observations i.e. even no. of observations So, median will be: \(\frac{(3rd\,observation\,+\,4^{th}\,observation)}{2}\) Arranging in increasing order: 20, 25, 28, x, 33, 34 If we put any other number at 4^th position the n, we will not get the median = 29 So, \(\frac{28+x}{2}=29\) 28 + x = 58 x = 58 – 28 = 30

If the median of 33m 28, 20, 25, 34, x is 29, find the maximum possible value of x.

Answer»

There are 6 observations i.e. even no. of observations

So, median will be:

\(\frac{(3rd\,observation\,+\,4^{th}\,observation)}{2}\)

Arranging in increasing order:

20, 25, 28, x, 33, 34

If we put any other number at 4^th position the n, we will not get the median = 29

So, \(\frac{28+x}{2}=29\)

28 + x = 58

x = 58 – 28

= 30