Descriptive statistics calculators

solution

You entered the following data set:

$$\begin{array}{cccc}5.14&5.14&5.17&5.20\\5.20&5.18&5.15&5.15\\5.16&5.16&&\end{array} $$

The median of the data set is 5.16.

explanation

The median is the middle number in a sorted list of numbers. So, to find the median, we need to place the numbers in value order and find the middle number.

Ordering the data from least to greatest, we get:

5.14   5.14   5.15   5.15   5.16   5.16   5.17   5.18   5.20   5.20   

As you can see, we do not have just one middle number but we have a pair of middle numbers, so the median is the average of these two numbers:

$$ Median = \frac{ \color{red}{ 5.16 } + \color{red}{ 5.16 } }{2} = 5.16$$