Question

is the median of a data set is the same whether you order the set from greatest to least or least to greatest?

Answer 1

The value of median will be same.

Given:

The objective is to determine whether the median of a data set is same or not while ordering from greatest to least or least to greatest.

There are two possible data sets, which is even number of sets or odd number of sets.

If the number of sets (n) is even, consider two terms,

`(n)/(2)\text{ and }(n+1)/(2)`

Then, the average of these two numbers will gives the median of the even sets.

If the number of sets (n) is odd, the median can be calculated as,

`(n)/(2)`

Hence, the value of median will be same, even if the order of the sets are arranged greatest to least or least to greatest.