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单选题
For which set of numbers do the average, median, and mode all have the same value?
A
2, 2, 2, 2, 4
B
1, 3, 3, 3, 5
C
1, 1, 2, 5, 6
D
1, 1, 1, 2, 5
E
1, 1, 3, 5, 10
参考答案
参考解析
解析：
Eliminate choice A. because the mode is 2 but the average (mean) of 2, 2, 2, 2, and 4 must be greater than 2. Eliminate choices C., D., and E. because the mode in each case is 1 but the average (mean) in each of these answer choices must be greater than 1. In choice B. the mode is 3, the average (mean) of 1,3,3,3, and 5 is （1+3+3+3+5）/5 =3 and the median is 3 since two values (1 and 3) are less than or equal to 3 and two other values (3 and 5) are equal to or greater than 3.
Eliminate choice A. because the mode is 2 but the average (mean) of 2, 2, 2, 2, and 4 must be greater than 2. Eliminate choices C., D., and E. because the mode in each case is 1 but the average (mean) in each of these answer choices must be greater than 1. In choice B. the mode is 3, the average (mean) of 1,3,3,3, and 5 is （1+3+3+3+5）/5 =3 and the median is 3 since two values (1 and 3) are less than or equal to 3 and two other values (3 and 5) are equal to or greater than 3.
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