Mean, Median Calculator

What is Mean ?

The word mean, which is a homonym for multiple other words in the English language, is similarly ambiguous even in the area of mathematics. Depending on the context, whether mathematical or statistical, what is meant by the "mean" changes. In its simplest mathematical definition regarding data sets, the mean used is the arithmetic mean, also referred to as mathematical expectation, or average. In this form, the mean refers to an intermediate value between a discrete set of numbers, namely, the sum of all values in the data set, divided by the total number of values.

What is Median ?

The median is a simple measure of central tendency. To find the median, we arrange the observations in order from smallest to largest value. If there is an odd number of observations, the median is the middle value. If there is an even number of observations, the median is the average of the two middle values.

The median formula is {(n + 1) ÷ 2}, where “n” is the number of items in the set and “th” just means the (n)th number.
To find the median, you must first order the numbers from smallest to largest. Then find the middle number. For example, the middle for this set of numbers is 5, because 5 is right in the middle:
1, 2, 3, 5, 6, 7, 9.
You get the same result with the formula. There are 7 numbers in the set, so n=7:
{(7 + 1) ÷ 2}
= {(8) ÷ 2}
= {4}^th
The 4^th number in 1, 2, 3, 5, 6, 7, 9 is 5.