TMUA 2020 Paper 2 Q17 — Worked Solution

P2·Statistics & Probability·6.5Official · 2020 · Q17

mean-medianrange-optimisationdistinct-integers

A set of six distinct integers is split into two sets of three.The first set of three integers has a mean of

10

and a median of

8

.The second set of three integers has a mean of

12

and a median of

9

.What is the smallest possible range of the set of all six integers?

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