Question

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

Explanation:

Step1: Arrange data in ascending order

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

Step2: Determine position for median

Since $n = 14$ (even), median is average of $\frac{n}{2}$ - 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

7 - th value is 12 and 8 - th value is 12.

Step4: Calculate median

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

Answer:

12