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  3. b-3, b-1, b + 2, b + 3, b + 4The median of the five terms listed above is 5, wh

b-3, b-1, b + 2, b + 3, b + 4The median of the five terms listed above is 5, wh

游客2024-01-12  18
问题 b-3, b-1, b + 2, b + 3, b + 4
The median of the five terms listed above is 5, where b is a constant. What is the average(arithmetic mean)of the five terms?
选项 A、3
B、4
C、5
D、6
E、7
答案 B
解析 To calculate the average of the five terms, you first need to use the information given in the question to determine the value of b.
    You are given that 5 is the median of the five terms b-3,b-1,b + 2,b + 3, and b + 4, where b is a constant. The median of five terms is the middle, or third, term when the terms are listed in increasing order. Observe that the five terms are already given in increasing order. Since b + 2 is the third term, you can conclude that b + 2 = 5 and thus b = 3.
    Since b = 3, it follows that the values of the five terms are 0, 2, 5, 6, and 7, and the average of the five terms is= 4. The correct answer is Choice B.
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