what is the median of this set of data? 362, 187, 211, 298, 331, 250, 347, 199

what is the median of this set of data? 362, 187, 211, 298, 331, 250, 347, 199

what is the median of this set of data? 362, 187, 211, 298, 331, 250, 347, 199

Answer

Explanation:

Step1: Arrange data in ascending order

$187,199,211,250,298,331,347,362$

Step2: Determine position of median

Since $n = 8$ (even - numbered data set), median is average of $\frac{n}{2}$th and $(\frac{n}{2}+ 1)$th values. $\frac{n}{2}=\frac{8}{2}=4$ and $\frac{n}{2}+1 = 5$.

Step3: Calculate median

Median=$\frac{250 + 298}{2}=\frac{548}{2}=274$

Answer:

$274$