statistics\nmedian of a data set\nthe following list contains the number of hours that a sample of 10 middle…
statistics\nmedian of a data set\nthe following list contains the number of hours that a sample of 10 middle - school students spent watching television last week. 17, 7, 12, 11, 7, 14, 4, 7, 13, 9\nsend data to calculator\nfind the median number of hours for that sample.
Answer
Explanation:
Step1: Arrange data in ascending order
$4,7,7,7,9,11,12,13,14,17$
Step2: Determine position for median
Since $n = 10$ (even number of data - points), the median is the average of the $\frac{n}{2}$ - th and $(\frac{n}{2}+1)$ - th ordered data - points. $\frac{n}{2}=\frac{10}{2}=5$ and $\frac{n}{2}+1 = 6$.
Step3: Find the median
The 5 - th value is 9 and the 6 - th value is 11. Median=$\frac{9 + 11}{2}=\frac{20}{2}=10$.
Answer:
10