How is the median defined if the number of observations is even?

a. the average of the two middle observations

b. the difference between the two middle observations

c. the most frequent observation

d. the difference between the highest and smallest observation?

If the number of observations is even, then the median is defined as the average of the two middle observations. Median is a measure of central tendency, it depicts the middle value in a given set of numbers. To find the median, the data should be arranged in order from least to greatest. If there is an even number of items in the data set, then the median is found by taking the mean or average of the middlemost numbers. If there is an odd number of results or items, the median is the middle number.

The answer is A.

In getting the median if there's an even number of observations, first, you need to arrange the data from least to greatest (or greatest to least will do).

Then, add the two middle observations, then divide the answer by 2, to get the average of the two middle observations. The answer you will get from dividing it by two is the median.