Question

what is the median? -3 -2 -2 -9 -3 -2 -4 -4

Explanation:

Step1: Sort the data

Sort the given data set \(-3,-2,-2,-9,-3,-2,-4,-4\) in ascending order: \(-9,-4,-4,-3,-3,-2,-2,-2\)

Step2: Find the median

Since there are \(n = 8\) (even number of data points). The median is the average of the \(\frac{n}{2}\)th and \((\frac{n}{2}+1)\)th values.
\(\frac{n}{2}=\frac{8}{2} = 4\) and \(\frac{n}{2}+1=4 + 1=5\)
The 4th value is \(-3\) and the 5th value is \(-3\)
Median\(=\frac{-3+(-3)}{2}=\frac{-6}{2}=-3\)

Answer:

\(-3\)