27. English editions of Scrabble have 100 letter tiles, distributed as follows and as above: • 2...

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27. English editions of Scrabble have 100 letter tiles,distributed as follows and as above:

• 2 blank tiles (scoring 0 points)

• 1 point: E ×12, A ×9, I ×9, O ×8, N ×6, R ×6, T ×6, L ×4, S×4, U ×4

• 2 points: D ×4, G ×3

• 3 points: B ×2, C ×2, M ×2, P ×2

• 4 points: F ×2, H ×2, V ×2, W ×2, Y ×2

• 5 points: K ×1

• 8 points: J ×1, X ×1

• 10 points: Q ×1, Z ×1

a. What is the mean point value of the full set of Scrabbletiles?

b. What is the median point value of the full set of Scrabbletiles?

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