Answer :
Final answer:
In the given scenario, all students scored the same, hence the mean, median, and mode are all 71. For a set of six different scores with the same mean, median, and mode of 71, the scores could be 70, 70, 71, 71, 72, 72.
Explanation:
In mathematics, the mean, median, and mode are measures of central tendency. In the first scenario, where each student scored 71, the mean, median, and mode would all be 71. (since all the scores are the same)
For the second part of your question,"Make up a set of six scores that are not all the same but in which the mean, median, and mode are all 71", we could choose option A: 70, 70, 71, 71, 72, 72. Because:
- The mean (average) is (70+70+71+71+72+72) / 6 = 71
- The median (middle value) is (71 + 71) / 2 = 71
- The mode (most common value) is 71, which appears twice
Learn more about Central Tendency here:
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