Question

find the median for the scores: 92, 70, 71, 84, 71, 95, 89, 73, 71, 89, 89, 95, 72, 77. the median is

Explanation:

Step1: Sort the data

70, 71, 71, 71, 72, 73, 77, 84, 89, 89, 89, 92, 95, 95

Step2: Determine the number of data points

There are $n = 14$ data - points.

Step3: Use the median formula for even - numbered data

Since $n$ is even, the median is the average of the $\frac{n}{2}$th and $(\frac{n}{2}+1)$th ordered data points. $\frac{n}{2}=\frac{14}{2}=7$ and $\frac{n}{2}+1 = 8$.
The 7th value is 77 and the 8th value is 84.
Median=$\frac{77 + 84}{2}=\frac{161}{2}=80.5$

Answer:

80.5