Question

question 12 of 15, step 1 of 1 find the median of the following set of data. round your answer to the nearest hundredth, if necessary. 97.9, 0.7, 96.5, 8.4, 152, 96.5 answer how to enter your answer (opens in new window)

Explanation:

Step1: Sort the data set

$0.7, 8.4, 96.5, 96.5, 97.9, 152$

Step2: Determine the number of data - points

There are $n = 6$ data - points. Since $n$ is even, the median is the average of the two middle values.

Step3: Find the two middle values

The two middle values are the $\frac{n}{2}$th and $(\frac{n}{2}+1)$th values. $\frac{n}{2}=\frac{6}{2}=3$ and $\frac{n}{2}+1 = 4$. The 3rd value is $96.5$ and the 4th value is $96.5$.

Step4: Calculate the median

Median=$\frac{96.5 + 96.5}{2}=\frac{193}{2}=96.5$

Answer:

$96.5$