Median
Category : 7th Class
Step 1: Arrange the given data either in ascending or descending order
Step 2: Count the number of observation.
Step 3: If the number of observation is odd, then \[median={{\left( \frac{n+1}{2} \right)}^{th}}observation\]
Step 4: If the number of observation is even, then
\[\frac{median={{\left( \frac{n}{2} \right)}^{th}}observation+{{\left( \frac{n}{2}+1 \right)}^{th}}observation}{2}\]
Find the median of 4, 5, 3, 3, 2, 1, 5
Solution:
Arrange the data in ascending order, we get 1, 2, 3, 3, 4, 5, 5 Here the number of observation is 7 which is odd number that is Median \[={{\left( \frac{n+1}{2} \right)}^{th}}\] observation
\[={{\left( \frac{7+1}{2} \right)}^{th}}\] observation i.e. the fourth observation. Therefore, median is 3
Find the median of first six prime number
Solution:
First six prime numbers are 2, 3, 5, 7, 11, 13
\[\frac{median={{\left( \frac{6}{2} \right)}^{th}}observation+{{\left( \frac{6}{2}+1 \right)}^{th}}observation}{2}\]
\[=\frac{third\,observation+fourth\,obsercation}{2}=\frac{5+7}{2}=6\]
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