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
Median of the set = arithmetic mean of 8 and 9 = 8.5
The median is 7.5
It is 8.
5.5
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
Median of the set = arithmetic mean of 8 and 9 = 8.5
The median is 7.5
median = 8 mean = 7 mean < median.
It is 8.
8
8.5
5.5
The median is the mean of the middle two. For example, find the median of the set {1, 3, 4, 6, 9, 10, 15, 20}. There are 8 items in the data set, so the median is the mean of the middle two. The middle two are the 4th and 5th data items: 6 & 9 median = mean of 6 & 9 = (6 + 9)/2 = 7.5
8. In order: 4, 6, 7, 9, 10, 12 6 data items so median is mean of middle two: median = (7+9)/2 = 8.
3, 3, 5, 9, 10
6