Carla played a word game in which points are awarded depending on the letters that are used. She played 7 words and earned the following scores:

Question

7 points 6 points 6 points 5 points 6 points 3 points 3 points
What was the median score for all of the words?

points

Answer 1

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

• 7 points
• 6 points
• 6 points
• 5 points
• 6 points
• 3 points
• 3 points

Arranging these scores in ascending order gives us:

3, 3, 5, 6, 6, 6, 7

Since there are 7 scores (which is an odd number), the median will be the middle score in this ordered list. The middle score can be found by taking the \((n + 1) / 2\) position, where \(n\) is the total number of scores.

Here, \(n = 7\):

\[ \frac{7 + 1}{2} = \frac{8}{2} = 4 \]

The 4th score in the ordered list is:

3, 3, 5, 6, 6, 6, 7

Thus, the median score is 6.