Median Formula Class 10
The median is a measure of central tendency in statistics that represents the middle value of a dataset when it is arranged in order from least to greatest. It is a useful measure when the dataset contains extreme values, also known as outliers, that can affect the mean.
Even Number or Odd Number
The formula for finding the median depends on whether the dataset has an odd or even number of values (Even Number or Odd Number).
If the dataset has an odd number of values:Arrange the values in order from least to greatest.
Identify the middle value. This value is the median.
For example, let's say we have the following dataset of test scores:
60, 70, 75, 80, 90, 95, 100
To find the median, we arrange the scores in order:
60, 70, 75, 80, 90, 95, 100
The middle value is 80, so the median test score for this dataset is 80.
If the dataset has an even number of values:
Median formula for even number is to arrange the values in order from least to greatest.
Identify the two middle values.
Calculate the average of the two middle values. This value is the median.
For example, let's say we have the following dataset of exam scores:
60, 70, 75, 80, 85, 90
To find the median, we arrange the scores in order:
60, 70, 75, 80, 85, 90
The two middle values are 75 and 80. To find the median, we calculate the average of these two values:
(75 + 80) / 2 = 77.5
Therefore, the median exam score for this dataset is 77.5.
Most of us have learnt in class 10 mean median mode formula.
Median Formula
So, the median formula can be expressed as:For odd number of values: Median = [(n+1)/2]th valueFor even number of values: Median = [n/2]th value + [(n/2)+1]th value / 2
where n is the total number of values in the dataset.
In summary, the formula for finding the median of a dataset depends on whether the dataset has an odd or even number of values. For an odd number of values, the median is the middle value. For an even number of values, the median is the average of the two middle values.
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