What is the median of 56,57,59,59,60,60,60,60,60,61,61,61,62,62,62,62,63,63,64,64, 64,64, 65,65,66,66,68?My answer was 93.

Expert Answers
dymatsuoka eNotes educator| Certified Educator

The median of a series of numbers is the middle number when all the numbers are arranged in order.  You already have your series arranged in order, so you are halfway done.  There are two ways you can find the median.  The first way is just to do it visually - that is, count from both ends until you end up in the middle.  Fortunately, in this series, there is an odd number of numbers.  The middle number is 62, which is the fourteenth number; there are thirteen numbers on either side of it.

The other way you can do it is by using a formula.  The formula I have always used is (the total number of numbers + 1) divided by two.  In this case, the total number of numbers, if you count them all up, is 27, so (27 +1) = 28, divided by 2 is 14.  The fourteenth number, which is 62, is the median.

Things get a little more difficult when there are an even number of numbers in the series.  The formula still works in that case, but if you are doing it visually, you will find two numbers in the actual middle.  You would then have to figure out the average of the two numbers to determine the median. 

 

malkaam | Student

Median is the middle value of the entire data set. 

{56,57,59,59,60,60,60,60,60,61,61,61,62,62,62,62,63,63,64,64,

64,64, 65,65,66,66,68}

In this case since are 27 numbers in this data set the 14th value will be considered the median which 62.

atyourservice | Student

56, 57, 59, 59, 60, 60, 60, 60, 60, 61, 61, 61 ,62, 62, 62, 62, 63, 63, 64, 64,

64,64, 65,65,66,66,68      

the median is known as the middle number, in the set we have an odd amount of number (27), so just count till the center, the center will be the 14th number. The median is 62