Math – Statistics – 1st Quartile, Median and 3rd Quartile Ungroup Data

The above two diagrams show you how to find the 1^st quartile, median (2^nd Quartile) and the 3^rd quartile ungroup data.

In the diagram (Data Set 1), there are a total of 15 numbers,  the median value is in the (15+1)/2 = 8^th position, number 10.

To find the 1^st Quartile Ungroup Data, locate the number between the 1^st  position and the 8^th position (median), which is the 4^th position, number  4.

To find the 3^rd quartile, locate the number between the last position (15^th)  and the 8^th position (median), which is the 12^th position, number 19.

In the diagram (Data Set 2), there are a total of 14 numbers,  the median value is in the (14+1)/2 = 7.5^th position, as there is no such thing as a 7.5^th position

we will take the numbers of the 7^th position (11) and 8^th position (13), and average the two numbers (11+13)/2 = 12.

To find the 1^st quartile, locate the number between the 1^st  position and the 7^th position, Which is 4^th position, number  7. .

To find the 3^rd quartile, locate the number between the last position (15^th)  and the 8^th position, which is 12^th position, number 16.

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