So the median of a set of numbers, is the number which is exactly in the middle of all the numbers when sorted.
So take your set of numbers, {6,7,10,8,9,8} and sort them so we get {6,7,8,8,9,10}
If we work in from the left and right removing one number at a time we get:
{7, 8, 8, 9}
and then {8, 8}
Meaning the median is 8. (When you have an even amount of numbers, you have to average the two numbers remaing (in this case 8 and 8), however when you have an odd amount of numbers you will only have 1 left, and that is the median)
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7 = average of 6 and 8
Arrange the numbers from least to greatest: 6, 7, 8, 8, 10, 10, 10. Get rid of each end number: 7, 8, 8, 10, 10. Do it again: 8, 8, 10. Do it again: 8 is your middle number and is therefore your median.
6 7 8 8 8 10 11 11 11 12 13 minimum-6 median-10 range-13-6=7 modes-8,11
8. In order: 4, 6, 7, 9, 10, 12 6 data items so median is mean of middle two: median = (7+9)/2 = 8.
Sample size: 12 Sorted sample: 3, 5, 6, 6, 7, 7, 8, 9, 9, 9, 10, 10 Middle numbers: 7, 8 Average of middle numbers, known as median: 7.5