After 25 throws of a die, scores 1–6 have frequencies 6,4,6,4,3,2.
State the mode(s).
Find the lowest possible 26th score that leaves the median equal to 3.
Suppose that lowest score occurs, then the die is thrown twice more. If the mean after 28 throws is 3, list the possible unordered pairs of final two scores.
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Answer:(a) \(1\) and \(3\); (b) \(1\); (c) \((2,6),(3,5),(4,4)\).