单选题For which set of numbers do the average, median, and mode all have the same value?A2, 2, 2, 2, 4B1, 3, 3, 3, 5C1, 1, 2, 5, 6D1, 1, 1, 2, 5E1, 1, 3, 5, 10
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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