Find the range of the data set with the outlier {16, 15, 19, 14, 18, 20, 45, 22, 16, 25}.
1 answer:
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Try graphing using the x-intercept and y-intercept.
-15x - 5y = 45
Put in x = 0 to get -5y = 45, making y = -9. Point (0, -9) is on the line.
Put in y = 0 to get -15x = 45, making x = -3. Point (-3, 0) is on the line.
-2x + 6y = 6
Put in x = 0 to get 6y = 6, making y = 1. Point (0, 1) is on the line.
Put in y = 0 to get -2x = 6, making x = -3. Point (-3, 0) is on the line.
(We've actually stumbled on the solution since (-3, 0) is on both lines!)
Graph the two lines using the points found above.
The solution is x = -3, y = 0.
It looks like we're told that
We use the fact that is linear to find
. First, we notice that
We also have
So once we find , we can determine
and
. We have
and using this we find
Then