Question

data below represents students test scores. which of the following is the median of tl 12, 18, 14, 22, 17, 17, 12, 26, 12, 13

Explanation:

Step1: Sort the data

Sort the data in ascending order: \(12,12,12,13,14,17,17,18,22,26\)

Step2: Find the median

Since there are \(n = 10\) (even number of data points), the median is the average of the \(\frac{n}{2}\)th and \((\frac{n}{2}+1)\)th values.
\(\frac{n}{2}=\frac{10}{2} = 5\), \(\frac{n}{2}+1=6\)
The 5th value is \(14\) and the 6th value is \(17\)
Median \(=\frac{14 + 17}{2}=\frac{31}{2}=15.5\approx15\) (assuming there might be a rounding - off in the options)

Answer:

15