what is the median of this set of data?\n66, 51, 77, 68, 60, 75, 54, 80\n29\n64\n66\n67
what is the median of this set of data?\n66, 51, 77, 68, 60, 75, 54, 80\n29\n64\n66\n67
Answer
Answer:
D. 67
Explanation:
Step1: Arrange data in ascending order
$51,54,60,66,68,75,77,80$
Step2: Determine the position of median
Since there are $n = 8$ (even - numbered) data points, the median is the average of the $\frac{n}{2}$th and $(\frac{n}{2}+ 1)$th ordered - data values. $\frac{n}{2}=\frac{8}{2}=4$ and $\frac{n}{2}+1 = 5$.
Step3: Calculate the median
The 4th value is 66 and the 5th value is 68. Median=$\frac{66 + 68}{2}=\frac{134}{2}=67$.