The integers from 1 through 25 are arbitrarily separated into five groups of 5 numbers each. The median of each group is identified. Let M equal the median of the five medians. What is the largest possible value of M ?
A. 9
B. 13
C. 17
D. 19
E. 20

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1. 2026 AMC 8 官方解析

每组5个数a<b<c<d<ea < b < c < d < e，会有2个数比中位数大 .

( ─ ─ 23‾\underline{23} 24‾\underline{24} 25‾\underline{25} ) ( ─ ─ △\triangle ─ ─ )

( ─ ─ 20‾\underline{20} 21‾\underline{21} 22‾\underline{22} ) ( ─ ─ △\triangle ─ ─ )

( ─ ─ 17‾\underline{17} 18‾\underline{18} 19‾\underline{19} )

5个中位数的中位数最大为17 .

Answer

C. 17

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