Question

question 6
what is the median of the data 3, 3, 6, 9, 13, 15?
○ 6
○ 7.5
○ 9
○ 10.5

Explanation:

Step1: Confirm sorted data set

The data is already sorted: $3, 3, 6, 9, 13, 15$

Step2: Identify middle positions

For $n=6$ (even number of values), the median is the average of the $\frac{n}{2}$th and $(\frac{n}{2}+1)$th values.
$\frac{6}{2}=3$, $\frac{6}{2}+1=4$

Step3: Calculate average of middle values

The 3rd value is $6$, the 4th value is $9$. Compute their average:
$\frac{6+9}{2} = 7.5$

Answer:

B. 7.5