Question

The median for the given set of six ordered data values is 26.5. what is the missing value? 7 12 21 ____ 41 50

Answer 1

I think the answer is 29.4

Answer 2

Answer:

The missing term is x=32.

Step-by-step explanation:

Given :  The median for the given set of six ordered data values is 26.5.

To find : What is the missing value?

Solution :

The data set is 7 12 21 ?41 50

let the missing term or 4th term be x.

We know, The median of an even number is sum of nth term by 2 and nth+1 term by 2.

So, Applying median formula for even terms is

Term, $(\frac{n}{2},\frac{n}{2}+1)$

$(\frac{6}{2},\frac{6}{2}+1)=3^{rd},4^{th}$

The median is sum of 3rd and 4th term.

$26.5=\frac{21+x}{2}$

$53=21+x$

$53-21=x$

$32=x$

Therefore, The missing term is x=32.