Question

question 2
2 pts
given a variable with 10 scores: 4, 6, 7, 9, 11, 12, 13, 17, 19, 19, what is the median?
11
11.5
12
19

Explanation:

Step1: Check number of data points

There are 10 scores. Since the number of data - points $n = 10$ (an even number).

Step2: Find the middle positions

The middle positions are $\frac{n}{2}$ and $\frac{n}{2}+1$. Here, $\frac{10}{2}=5$ and $\frac{10}{2}+1 = 6$.

Step3: Identify the values at middle positions

The 5th value is 11 and the 6th value is 12.

Step4: Calculate the median

The median for an even - numbered data set is $\frac{\text{Value at }\frac{n}{2}+\text{Value at }\frac{n}{2}+1}{2}=\frac{11 + 12}{2}=11.5$.

Answer:

11.5