Question

what is the median? 57 57 59 56 54 61

Explanation:

Step1: Sort the data

Sort the numbers in ascending order: $54,56,57,57,59,61$

Step2: Calculate 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.
$\frac{n}{2}=\frac{6}{2} = 3$, $\frac{n}{2}+1=4$
The 3 - rd value is $57$ and the 4 - th value is $57$
Median $=\frac{57 + 57}{2}$

Answer:

$57$