# `[2.5, 7.8, 5.5, 2.3, 6.2, 7.8]` Find the median of each set of numbers.

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### 4 Answers

The median of a set of numbers is the value for which half the numbers are larger and half are smaller. If there are two middle numbers, the median is the arithmetic mean of the two middle numbers.

To find the median, first list the numbers from least to greatest.

[2.5, 7.8, 5.5, 2.3, 6.2, 7.8] [2.3 ,2.5 ,5.5 ,6.2 ,7.8,7.8]

Next, find the exact middle. In this case, there are two numbers (5.5 and 6.2) in the middle. Therefore, find the mean (or average) of these two numbers.

To find the mean, add the two numbers and divide by 2.

`(5.5+6.2)/2=5.85`

The median of this data set is 5.85. Exactly half the numbers in the data set are larger than 5.85 and exactly half the numbers in set are smaller than 5.85.

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The key thing to always remember with median is middle. There is a median in the middle of the highways is the saying I always tell students.

The first step is to list your numbers in order from least to greatest or greatest to least. Least to greatest is my preferred choice.

[2.5, 7.8, 5.5, 2.3, 6.2, 7.8]

when out least to greatest is

[2.3, 2.5, 5.5, 6.2, 7.8, 7.8]

now step two is what I call "bunny hop" as you bunny hop you will mark out the lowest number and then the highest. Then you mark out the next lowest, next highest. You repeat until there is either one number in the middle or two numbers in the middle.

**hint** if there is an even number of numbers, you will always have two numbers left, if there is an odd number of numbers you will have just one number left.

If there were just one number left, that would be your answer. But since there are two [5.5, 6.2], you have to add these two numbers up and then divide the total by two and that will be your answer.

5.5 + 6.2= 11.7

11.7/2 = 5.85

so the median of the set of numbers is 5.85

Arrange the set of numbers in ascending order.

[2.5, 7.8, 5.5, 2.3, 6.2, 7.8] `->` [2.3 ,2.5 ,5.5 ,6.2 ,7.8,7.8]

Since there are an even number of elements in the set, we must take the mean of the middle two numbers [5.5 and 6.2].

Mean[5.5,6.2] = `(5.5+6.2)/2 = 5.85`

The median is **5.85**

to find the median ,first we need to arrange the set of numbers in order,

so,

[2.5, 7.8, 5.5, 2.3, 6.2, 7.8]

=> [2.3 ,2.5 ,5.5 ,6.2 ,7.8,7.8]

Here there are 6 numbers and so we don't have just one middle number, we have a pair of middle numbers.

so,

5.5 ,6.2 are the middle numbers

then the median is (5.5 +6.2)/2= 11.7/2 = 5.85