6. At a middle school gymnastics competition, the scores for the floor exercises were 5.1, 5.6, 5.3, 5.1, 4.8, 4.6, and 5.2. Find the mean (to the nearest tenth) and the median.
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1 point
5.1 and 5.3
5.2 and 5.1
5.1 and 5.1
5.2 and 5.2
The mean can be found by adding up all the scores and then dividing by the total number of scores:
5.1 + 5.6 + 5.3 + 5.1 + 4.8 + 4.6 + 5.2 = 35.7
Mean = 35.7 / 7 = 5.1 (rounded to the nearest tenth)
To find the median, we need to arrange the scores in ascending order:
4.6, 4.8, 5.1, 5.1, 5.2, 5.3, 5.6
Since there are an odd number of scores (7), the median is the middle score, which is 5.1 and 5.1.
Therefore, the correct answer is: 5.1 and 5.1.