the following list contains the number of hours that a sample of 13 middle - school students spent watching…

the following list contains the number of hours that a sample of 13 middle - school students spent watching television last week. 6, 17, 7, 4, 13, 10, 13, 11, 12, 14, 6, 11, 4. find the median number of hours for that sample.

the following list contains the number of hours that a sample of 13 middle - school students spent watching television last week. 6, 17, 7, 4, 13, 10, 13, 11, 12, 14, 6, 11, 4. find the median number of hours for that sample.

Answer

Explanation:

Step1: Arrange data in ascending order

$4,4,6,6,6,7,10,11,11,12,13,13,14,17$

Step2: Determine the position of the median

There are $n = 14$ 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 values. $\frac{n}{2}=\frac{14}{2}=7$ and $\frac{n}{2}+1 = 8$.

Step3: Find the median

The 7th value is $10$ and the 8th value is $11$. The median $M=\frac{10 + 11}{2}=\frac{21}{2}=10.5$

Answer:

$10.5$