I NEED HELP ASAP A basketball player calculated her statistics on her own goal shooting. over 11 games, her mean score was 6, the median was 7, and the mode was 8.
what might her scores be in each of her games
shows your work please!!!

Thinking outloud here...

If the mean from 11 games was 6, then she scored a total of 66 points in the 11 games.

If the mode was 8, then she scored 8 more than any other score, so let's say she scored 8 in three games.  (That's 24 points scored)

If the median was 7, then when the scores are lined up in order, 7 will be the middle score and we have at least 31 points scored.  We need 35 more points.

So far we have:

__, __, __, __, __, 7, 8, 8, 8, __, __

Let's add some low scores:

3, 4, 5, 5, 5, 7, 8, 8, 8, __, __

That added 22 points to the total, meaning we need 13 more.  We can't do that with scores higher than 8.

So, let's add in two scores of 9 and see what we need to take away from the other side:

3, 4, 5, 5, 5, 7, 8, 8, 8, 9, 9

This gives us 71, so we're 5 points over 66.  Let's knock down the lower scores each by 1.

2, 3, 4, 4, 4, 7, 8, 8, 8, 9, 9

That's 66 points, 11 games, a mean of 6, a mode of 8, and a median of 7.

There ya go.

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