Question

desmos exercise
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find the median of the data: 6, 7, 4, 9, 5, 4, 4, 2

Explanation:

Step1: Arrange data in ascending order

$2,4,4,4,5,6,7,9$

Step2: Determine the middle - value position

Since there are $n = 8$ data points (an even number of data points), the median is the average of the $\frac{n}{2}$th and $(\frac{n}{2}+ 1)$th ordered data values. $\frac{n}{2}=\frac{8}{2}=4$ and $\frac{n}{2}+1 = 5$.

Step3: Calculate the median

The 4th value is $4$ and the 5th value is $5$. Median=$\frac{4 + 5}{2}=\frac{9}{2}=4.5$

Answer:

$4.5$