Questions: What is the median for the following set of scores: Scores: 8,10,11,12,14,15 Select one: 12 70 / 6=11.67 11 11.5

Solution Steps

To find the median of a set of scores, we need to first sort the scores in ascending order. If the number of scores is odd, the median is the middle score. If the number of scores is even, the median is the average of the two middle scores.

1. Sort the scores in ascending order.
2. Determine if the number of scores is odd or even.
3. If odd, select the middle score.
4. If even, calculate the average of the two middle scores.

The given set of scores is \( S = \{8, 10, 11, 12, 14, 15\} \). After sorting, the scores remain in ascending order: \[ S = \{8, 10, 11, 12, 14, 15\} \]

The number of scores \( n \) is calculated as follows: \[ n = 6 \]

Since \( n \) is even, the median \( M \) is given by the average of the two middle scores. The two middle scores are the \( \frac{n}{2} \)th and \( \left(\frac{n}{2} - 1\right) \)th scores: \[ M = \frac{S\left[\frac{n}{2} - 1\right] + S\left[\frac{n}{2}\right]}{2} = \frac{S[2] + S[3]}{2} = \frac{11 + 12}{2} = \frac{23}{2} = 11.5 \]

Final Answer