a simple random sample of 14 students on a large university campus is asked to complete a survey. one of the…

a simple random sample of 14 students on a large university campus is asked to complete a survey. one of the questions on the survey asks for the number of credit hours for which they are currently enrolled. the results of the survey are shown below. 12, 9, 13, 15, 12, 16, 19, 13, 12, 12, 16, 12, 14, 6 what is the median number of credit hours for this sample? 12 12.5 12.9 16

a simple random sample of 14 students on a large university campus is asked to complete a survey. one of the questions on the survey asks for the number of credit hours for which they are currently enrolled. the results of the survey are shown below. 12, 9, 13, 15, 12, 16, 19, 13, 12, 12, 16, 12, 14, 6 what is the median number of credit hours for this sample? 12 12.5 12.9 16

Answer

Explanation:

Step1: Arrange data in ascending order

6, 9, 12, 12, 12, 12, 12, 13, 13, 14, 15, 16, 16, 19

Step2: Determine position for median

Since $n = 14$ (even - numbered data set), the median is the average of the $\frac{n}{2}$th and $(\frac{n}{2}+ 1)$th ordered - values. $\frac{n}{2}=\frac{14}{2}=7$ and $\frac{n}{2}+1 = 8$.

Step3: Find median values

The 7th value is 12 and the 8th value is 13.

Step4: Calculate median

Median=$\frac{12 + 13}{2}=12.5$

Answer:

12.5