#### A PHP Error was encountered

Severity: Warning

Message: count(): Parameter must be an array or an object that implements Countable

Filename: controllers/calculator.php

Line Number: 37

Median Calculator - Online Calculator - Tutorpace

# Median Calculator

## Online Tutoring Is The Easiest, Most Cost-Effective Way For Students To Get The Help They Need Whenever They Need It.

#### SIGN UP FOR A FREE TRIAL

Median calculator tool is used to find the median value which is exactly at middle in the given set of observations. For finding a median the observations are arranged in an increasing or decreasing order and the middle value is our median. If there is more than one single value in the middle then the median is an average of the middle numbers.

For a normal distribution, Mean = Median = Mode.

For an uniform distribution in the given interval say [x, y] the median is , which is equal to mean.

Example 1: Find the median for the sample 45, 96, 2, 36, 25, 41, 12, 7, 3, 46, 21

Number of numbers in the given sample = n = 11

Arranging the given sequence in increasing order:

2, 3, 7, 12, 21, 25, 36, 41, 45, 46, 96

Here n is odd so the median is given by the formula element

Median = = = 6th element

Here the 6th element is 25. Hence 25 is the median for the given data.

Example 2: Find the median for the observations 32, 99, 25, 1, 34, 81, 27, 16, 64, 51, 19, 38

Number of observations in the given sample = 12

Arranging the given sequence in increasing order:

1, 16, 19, 25, 27, 32, 34, 38, 51, 64, 81, 99

Here n is even. So the middle numbers are element and element

Middle numbers = element and element

Middle numbers = element and element

Here 6th element = 32 and 7th element = 34

Median is the mean or average of 6th and 7th element.

Median = = = 33