Question

question 10 of 15, step 1 of 1
find the median of the following set of data. round your answer to the nearest hundredth, if necessary
2.49,27.59,80.08,48.38,12.71,69.75
answer
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Explanation:

Step1: Arrange data in ascending order

$12.71, 2.49, 27.59, 80.08, 48.38, 69.75$ becomes $2.49, 12.71, 27.59, 48.38, 69.75, 80.08$

Step2: Determine position of median

Since there are $n = 6$ (an even - numbered data set), the median is the average of the $\frac{n}{2}$th and $(\frac{n}{2}+ 1)$th ordered values. $\frac{n}{2}=\frac{6}{2}=3$ and $\frac{n}{2}+1 = 4$.

Step3: Calculate median

Median=$\frac{27.59 + 48.38}{2}=\frac{75.97}{2}=37.985\approx37.99$

Answer:

$37.99$