Question

The median for the given set of six ordered data values is 30.5.5,12,23, ___ ,41, 50What is the missing value?

Answer 1

Given data is,

`5,12,23,-_{},41,50_{}`

Given the median of the given data is 30.

Let the unknown value be x.

Since there are two middle terms in the given data. The median of the given data containg the two middle term is given by,

`\begin{gathered} (23+x)/(2)=30.5 \\ \end{gathered}`

By simplify the above equation the x value can be found,

`\begin{gathered} (23+x)/(2)=30.5 \\ 23+x=30.5*2 \\ 23+x=61 \\ x=61-23 \\ x=28 \end{gathered}`

The required value of the missing term is 28.