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Algebra Difficulty 1.4 Junior Find the answer Canada

A list of one-digit integers contains exactly one $1$ , two $2$ s, three $3$ s, four $4$ s, five $5$ s, and six $6$ s. What is the median of this list?

Pick one

Solution

Ordered from smallest to largest, the list is $1,2,2,3,3,3,4,4,4,4,5,5,5,5,5,6,6,6,6,6,6$
This list contains $1+2+3+4+5+6=21$
integers.

The median is the middle number in an ascending (or descending) list of
numbers.

The 11th integer in the list of $21$
integers above has $10$ integers
before it and $10$ integers following
it, and thus is the median of the list.

The 11th integer and the median of the given list is $5$ .

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Source: CEMC, University of Waterloo, licensed CC-BY-NC-4.0. Statement reproduced verbatim; metadata (topic, difficulty) added by this project.