Question

Which of the following is true for a median? Medians are affected by outliers. Medians can be calculated no matter how the data is arranged. A median is only meaningful for interval or ordinal data and not for ratio data. For an even number of observations, the median is the mean of the two middle numbers.

Answer 1

Answer:

Option D) is true about median    

Step-by-step explanation:

We are given the following information in the question:

Median:

• The median is the middle number or the center of the data when the data is sorted in either ascending or descending order.

• The median is not affected by the presence of any outliers since the data is sorted.

$Median:\\\text{If n is odd, then}\\\\Median = \displaystyle\frac{n+1}{2}th ~term \\\\\text{If n is even, then}\\\\Median = \displaystyle\frac{\frac{n}{2}th~term + (\frac{n}{2}+1)th~term}{2}$

Option A) Medians are not affected by the outliers

Option B) Medians can only be calculated when the data is sorted.

Option C) This is a false statement about the medians.

Option D) True

When there are even number of observations, the median is the mean of the two middle numbers.