sorted: 1 2 7 9 11 15 19 20
number of items: 8
middle items: 9 and 11
average of middle items, or median: (9+11)/2 = 10
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Mean: 17 Median: 19 Mode: 20
16.5 is the median.
In the example provided, the quartiles are: 25% = 16.5 (the median of {15, 16, 17, 18}) 50% = 18.5 (the median of {15, 16, 17, 18, 19, 20, 21, 22}) 75% = 20.5 (the median of (19, 20, 21, 22})
17
Mean = (11 + 14 + 20)/3 = 45/3 = 15 Median = 14 Mode = 11, 14 and 20 (these values appear once, others do not appear even once!)