Question

ten students compared their test percentage grades: 93, 77, 100, 68, 94, 83, 86, 88, 93, 85. what is the median score? 83 82 87 89

Explanation:

Step1: Arrange data in ascending order

$68,77,83,85,86,88,93,93,94,100$

Step2: Determine position for median

Since $n = 10$ (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. $\frac{n}{2}=\frac{10}{2}=5$ and $\frac{n}{2}+1 = 6$.

Step3: Calculate the median

Median=$\frac{86 + 88}{2}=\frac{174}{2}=87$

Answer:

$87$