Question

Determine the median of the following scores: 0, 3, 0, 2, 4, 8, 7, 0, 3, 6, 7.

SELECT THE CORRECT ANSWER
2

3

3.5

4

Answer 1

To find the median of the given scores, we first need to arrange the scores in ascending order. The scores are:

0, 3, 0, 2, 4, 8, 7, 0, 3, 6, 7

Arranging these in order:

0, 0, 0, 2, 3, 3, 4, 6, 7, 7, 8

Next, since there are 11 scores (an odd number), the median is the middle score. The middle score can be found using the formula for the index of the median in a sorted list, which is:

\[
\text{Median index} = \frac{n + 1}{2}
\]

Where \( n \) is the number of observations. Here, \( n = 11 \).

\[
\text{Median index} = \frac{11 + 1}{2} = 6
\]

Now, we find the 6th score in the sorted list:

0, 0, 0, 2, 3, **3**, 4, 6, 7, 7, 8

The 6th score is 3. Therefore, the median of the scores is:

**3**