When Is The Median Of A Set Of Data One Of The Numbers Of The Data Set? B.Only If There Is An Odd Number Of Elements. C.Only If There Is An Even Number Of Elements *Write In A Sentences Of Why The Answer Is Correct.

1 Answer
Apr 15, 2018

Yes, if there is an odd number of elements, it will always be so. However, it is possible in certain circumstances when we have even number of elements.

Explanation:

When there are odd numbers of elements and elements are arranged in increasing or decreasing order, median is the central element. As we have odd number of elements, there is a distinct central element which is median.

When we have even number of elements there will be two central elements, the median will be their arithmatic mean or simple average, which may not be an element. However, if two central elements are equal, we can still have median as one of the numbers of data set.