Question

What is the MEDIAN of the data - (12, 8, 6, 12, 16, 12) *

Answer 1

When finding median, first arrange the values in ascending or descending order.

Suppose I take the ascending order:

`6 \: \: 8 \: \: 12 \: \: 12 \: \: 12 \: \: 16 \\ median = ( (n)/(2) + 1) ^(th) value \\ n = number \: of \: terms = 6 \: digits \\ = ( (6)/(2) + 1) {}^(th) \: value \\ = 4 {}^(th) value \\ from \: the \: values 4 {}^(th) value = 12 \\ median = 12`

Answer 2

12

Explanation:

Median basically means middle. So when you get a set of numbers, put them in order from least to greatest. This leaves us with ( 6 8 12 * 12 12 16 ). Now, we have to find the middle number (shown by *), but because this is an even amount of numbers (no defined middle), we take the two numbers in the middle, which would be the two 12's. If these were different numbers, we would add them together and then divide by two to get the median, but that's unnecessary here. Your median will be 12!