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)
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
8.
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.
median = 8 mean = 7 mean < median.
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
Mean: 9 Median: 8.5 Mode: 14, 6, 8, 10, 9, 5, 7, 13
The median of a set of numbers is the middle one (if there are an odd number of them) or the mean average of the middle two (if there are an even number of them). The dataset {4, 4, 5, 5, 6, 6, 7, 7, 8, 8, 8, 9, 10, 11} has 14 elements, so the median is the mean average of the 7th and 8th numbers. The 7th and 8th numbers are 7 and 7, thus the median is (7 + 7) / 2 = 7.
There are 6 numbers, so the median is the mean of the middle two: (7 + 8) ÷ 2 = 7.5
7.5
The median is 7.5