Question

find the median of these test scores: test scores 100, 80, 75, 90, 80, 100

Explanation:

Step1: Arrange scores in order

$75, 80, 80, 90, 100, 100$

Step2: Determine number of scores

There are $n = 6$ scores.

Step3: Calculate median position

Since $n$ is even, median is average of $\frac{n}{2}$ - th and $(\frac{n}{2}+ 1)$ - th ordered values. $\frac{n}{2}=\frac{6}{2}=3$ and $\frac{n}{2}+1 = 4$.

Step4: Find median

Median=$\frac{80 + 90}{2}=\frac{170}{2}=85$

Answer:

$85$