The median is always the middle value when the sequence is ordered.
The ordered sequence is:
3,9,14,16,17,18,21,21,22,26,30,32,35,37,37
There are only 15 values in the sequence (odd) therefore the median exists in the sequence (because it is odd) and is the 8th value (halfway)
Median = 21
==EXTRA==
When there is an even number of values the median is the average of the two numbers closest to where the middle value would be
e.g.
1,2,3,4,5, | ,6,7,8,9,10
________^_________
therefore the median is (5+6)/2 = 5.5
16.5 is the median.
Arrange in order: 12 13 13 14 16 18 19 The median is the number in the middle, where there are are as many other numbers on one side as the other: Answer is median = 14
16
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})
There are probably tens of such sets. Some are: 5, 6, 7, 7, 8, 11, 13, 14, 15, 16, 17, 18 5, 6, 7, 7, 7, 12, 12, 14, 15, 16, 17, 18 5, 6, 7, 7, 7, 12, 12, 14, 14, 16, 17, 18 5, 6, 7, 7, 7, 12, 12, 14, 14, 15, 17, 18 5, 6, 7, 7, 7, 12, 12, 14, 15, 15, 17, 18 5, 6, 7, 7, 7, 12, 12, 14, 15, 16, 16, 18 5, 6, 7, 7, 7, 12, 12, 14, 14, 16, 16, 18
the median for 16,16,16,16,16,16,16,16,17,17,17,17,17,17,18,18,18,20,21,25 is 17
16.5 is the median.
The median of {10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20] is the 6th values which is 15.
In ascending order (16, 16, 17, 17, 17, 18, 18) it is 17 that is in the middle.
(14, 15, 16, 16, 16, 18, 22, 25) Mode: 16 Mean: 17.75 Median: 16
11 12 15 16 18 17 the answer is 15.5
16
It is (13+14+16+17+17+18)/6.
It is 15.
The median is 19.
Arrange in order: 12 13 13 14 16 18 19 The median is the number in the middle, where there are are as many other numbers on one side as the other: Answer is median = 14
16