Question

in a mathematics class, the following test scores were recorded for a student. find the median. 73, 82, 78, 61, 64, 72 the median is . (round to one decimal place as needed.)

Explanation:

Step1: Sort the data

Sort the test scores in ascending order: $61,64,72,73,78,82$.

Step2: Find the median

Since there are $n = 6$ (even number of data points), the median is the average of the $\frac{n}{2}$-th and $(\frac{n}{2}+1)$-th values.
Here, $\frac{n}{2}=\frac{6}{2}=3$ and $\frac{n}{2}+1 = 4$.
The 3rd value is $72$ and the 4th value is $73$.
Median $=\frac{72 + 73}{2}=\frac{145}{2}=72.5$.

Answer:

$72.5$