The median is the number that will be in the middle when you put the numbers in to order.
So if we order those numbers we get:
6, 10, 12, 14, 19
There are 5 numbers here so the median will be the 3rd number in our ordered list (you can divide by 2 and round up to the nearest whole number to know which is the middle number when there are an odd number of numbers such as 5; i.e. 5 /2 = 2.5 which rounds up to 3).
The median is 12.
Please note: if there are an even number of numbers (let's say there were 6 numbers instead of 5) then the median will be the average of the middle two numbers.
Example: Let's add the number 20 to our list of numbers.
After ordering you have:
6, 10, 12, 14, 19 , 20.
As there are 6 numbers now (an even number) we have to take the middle two numbers, which are 12 and 14 (You should divide the number of numbers by 2 and use this and this plus 1 to determine which are the middle numbers. e.g. 6 /2 = 3 and 3 + 1 = 4, so the middle numbers will be the 3rd & 4th) and add them together and then divide by 2.
12 + 14 = 26
26/2 = 13
So the median for these 6 numbers is 13.
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
16.5 is the median.
18
14. Put in order: {1, 6, 10, 12, 12, 13, 15, 19, 27, 31, 32, 40} There are 12 data items, so the median is the (12 + 1) ÷ 2 = 61/2th data item. As 61/2 is not a whole number, take the mean average of the 6th and 7th data items: 6th is 13, 7th is 15 ⇒ median = (13 + 15) ÷ 2 = 14
14, which is the middle number when they are listed in order.
14
the median of 10 12 12 12 13 18 19 is 12
The median of {10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20] is the 6th values which is 15.
12
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
16.5 is the median.
mean = 19 median = 12 mode = 12
18
14. Put in order: {1, 6, 10, 12, 12, 13, 15, 19, 27, 31, 32, 40} There are 12 data items, so the median is the (12 + 1) ÷ 2 = 61/2th data item. As 61/2 is not a whole number, take the mean average of the 6th and 7th data items: 6th is 13, 7th is 15 ⇒ median = (13 + 15) ÷ 2 = 14
14, which is the middle number when they are listed in order.
13