Question

{5, 6, 1, 1, 4, 7, 2, 1} what is the median? {5, 6, 2, 1, 4, 7, 2, 1} what is the median?

Answer 1

Median = middle value when the data are ordered. For an even number of observations, it’s the average of the two middle values.

1) {5, 6, 1, 1, 4, 7, 2, 1}
Ordered: 1, 1, 1, 2, 4, 5, 6, 7
Middle two: 2 and 4 → median = (2+4)/2 = 3

2) {5, 6, 2, 1, 4, 7, 2, 1}
Ordered: 1, 1, 2, 2, 4, 5, 6, 7
Middle two: 2 and 4 → median = (2+4)/2 = 3

Both medians = 3.