Respuesta :
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, [tex](\frac{n}{2},\frac{n}{2}+1)[/tex]
[tex](\frac{6}{2},\frac{6}{2}+1)=3^{rd},4^{th}[/tex]
The median is sum of 3rd and 4th term.
[tex]26.5=\frac{21+x}{2}[/tex]
[tex]53=21+x[/tex]
[tex]53-21=x[/tex]
[tex]32=x[/tex]
Therefore, The missing term is x=32.
