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Median calculator is used to find the middle value of the data set. It calculates the median and ascending order in a fraction of a second.

In central tendency, the median is the central number in the arranged set of data according to ascending or descending list of numbers. It is more descriptive of the data set than the mean.

Median is the 50% of the data set.

The formula of the median is different for the even and odd numbers of data values (n).

**When n is even**

**When n is odd**

Here are a few examples of median to understand how to calculate it.

**Example 1: For odd observations**

Find the median of the given data set.

12, 34, 9, 6, 1, 4, 15

**Solution**

**Step 1: **Arrange the list of numbers in ascending order.

Ascending order = 1, 4, 6, 9, 12, 15, 34

Total observations = 7

**Step 2:** Now take the formula of the median.

**Median = [(n+1)/2] ^{th} term**

Median = [(7+1)/2]^{th} term

Median = [8/2]^{th} term

Median = 4^{th} term

Hence, the median is the 4^{th} term of the ordered terms.

**Step 3: **Find the 4^{th} term of the ordered list.

9 is the 4^{th} term so,

**Median = 9**

**Example 2: For even observations**

Find the median of the given data set.

2, 14, 6, 12, 4, 10

**Solution**

**Step 1: **Arrange the list of numbers in ascending order.

Ascending order = 2, 4, 6, 10, 12, 14

Total observations = 6

**Step 2: **Now take the formula of the median.

**Median = 1/2 [(n/2) ^{th} + [n/2 + 1]^{th}]**

Median = 1/2 [(6/2)^{th} + [6/2 + 1]^{th}]

Median = 1/2 [3^{rd} + [3 + 1]^{th}]

Median = 1/2 [3^{rd} + 4^{th}]

**Step 3: **Find the mean of the third and fourth terms of the sequence.

Median = 1/2 [6 + 12]

Median = 1/2 [18]

**Median = 9**

This report is generated by criticalvaluecalculator.com