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Question
the students were measuring tardiness to class by incidence each week. look at the data set: 5, 10, 6, 5, 8, 13, 12, 12. what is the median of this data set? the median of this data set is
Step1: Sort the data set
$5,5,6,8,10,12,12,13$
Step2: Determine the position
There are $n = 8$ data - points. Since $n$ is even, the median is the average of the $\frac{n}{2}$th and $(\frac{n}{2}+ 1)$th ordered data - points. $\frac{n}{2}=\frac{8}{2}=4$ and $\frac{n}{2}+1 = 5$.
Step3: Calculate the median
The 4th value is $8$ and the 5th value is $10$. Median=$\frac{8 + 10}{2}=\frac{18}{2}=9$
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$9$