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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 = 4th term
Hence, the median is the 4th term of the ordered terms.
Step 3: Find the 4th term of the ordered list.
9 is the 4th 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 [3rd + [3 + 1]th]
Median = 1/2 [3rd + 4th]
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
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Criticalvaluecalculator.com is a free online service for students, researchers, and statisticians to find the critical values of t and z for right-tailed, left tailed, and two-tailed probability.
