MathsWhat is The Median? – Definition, Formula, Graphical Representation and FAQs

What is The Median? – Definition, Formula, Graphical Representation and FAQs

The Median Formula

The median formula is used to calculate the median value of a given set of data. The median value is the middle value in a set of data, meaning that it is the value that is found in the exact middle of the set. The median formula is written as follows:

Median = (n + 1) / 2

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    In this formula, “n” represents the total number of data points in the given set. “n + 1” represents the total number of data points, plus 1. This is necessary because the median value is not included in the set of data. “2” is used as the divisor because there are two middle values in a set of data with an odd number of data points, and 1 middle value in a set of data with an even number of data points.

    To calculate the median value, simply plug the numbers into the formula and divide by 2. For example, if you have a set of data with 5 values, the median value would be calculated as follows:

    Median = (5 + 1) / 2

    Median = 6 / 2

    Median = 3

    Case 1: Odd Number of Observations

    In this case, the data set has an odd number of observations. This means that there is one data point that is not included in the set. This could be due to an error in the data collection process, or it could be due to an outlier that is not representative of the rest of the data.

    When there is an odd number of observations, it is important to investigate the outlier to determine whether it is representative of the rest of the data. If it is not, then it should be removed from the data set before any analysis is performed.

    Case 2: Even Number of Observations

    In this case, there are an even number of observations. This means that each observation is paired with another observation. The mean of these two observations is then calculated. This mean is then used to represent the entire dataset.

    How Can You Calculate the Value of Median of Data?

    The median of a data set is the value that is exactly in the middle when the data is sorted in ascending order. To calculate the value of the median, you need to know the total number of data points and the number of data points that are greater than the median. The value of the median is the sum of the two middle values when the data is sorted in ascending order.

    The Graphical Representation of Median

    The graphical representation of the median is a line that is drawn through the middle of a data set.

    about Median and Other Measures of Central Tendency

    The median is the middle value in a set of data. The mean is the average value in a set of data. The mode is the most common value in a set of data.

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