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**, which is the

^{th}position (median)**4**, number

^{th}position**4**.

To find the 3^{rd} quartile, locate the number between the** last position (15 ^{th})** and the

**8**, which is the

^{th}position (median)**12**, number

^{th}position**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**, number

^{th}position**7**. .

To find the 3^{rd} quartile, locate the number between the **last position (15 ^{th}) and the 8^{th} position**, which is

**12**, number

^{th}position**16.**

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