Of 100 people who played a certain video game, 57 scored more than 0 but less than 1,000 points. 22 scored more between 1,000 and 10,000 points, 10 scored betwen 10,000 and 50,000 points, and the remaining two players scored 1,600,000 and 2,450,000 points. Which of the following statements about the mean and median of the 100 scores is true?

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To find the median, we need to take the average of the 50^th and 51^st player (after arranging points from least to most). We know that the least 57 scores are between 0 and 1,000, so the median must be in this range.

The mean will be large due to the two high scorers. Even if the other 98 players scored 0 points, the two high scorers will inflate the average of all 100.

$$ \text{approximate mean}=\frac{1{,}600{,}000+2{,}450{,}000+ 98(0)}{100} $$ $$ = 40{,}500 \text{ points} $$ $$ 40{,}500 \gg {0\sim1{,}000} $$ $$ \text{mean} \gg \text{median} $$