Identify the outlier in the data. then find the mean when the outlier is included and when it is not included. 68, 63, 67, 66, 65, 87, 69, 61, 86, 82, 28 outlier is 28; mean with outlier = 74.2; mean without outlier = 71.4 outlier is 28; mean with outlier = 67.5; mean without outlier = 71.4 outlier is 28; mean with outlier = 67; mean without outlier = 67.5 outlier is 28; mean with outlier = 67.5; mean without outlier = 64.9

Without is 64.9

Outlier is 28.

Step-by-step explanation:

6 on both sides and twelve on the top and the bottom

step-by-step explanation:

{x = -1/2 ,   y = -1

step-by-step explanation:

solve the following system:

{2 x + y = -2

{10 x - 3 y = -2

in the first equation, look to solve for y:

{2 x + y = -2

{10 x - 3 y = -2

subtract 2 x from both sides:

{y = -2 x - 2

{10 x - 3 y = -2

substitute y = -2 x - 2 into the second equation:

{y = -2 x - 2

{10 x - 3 (-2 x - 2) = -2

10 x - 3 (-2 x - 2) = (6 x + 6) + 10 x = 16 x + 6:

{y = -2 x - 2

{16 x + 6 = -2

in the second equation, look to solve for x:

{y = -2 x - 2

{16 x + 6 = -2

subtract 6 from both sides:

{y = -2 x - 2

{16 x = -8

divide both sides by 16:

{y = -2 x - 2

{x = -1/2

substitute x = -1/2 into the first equation:

{y = -1

{x = -1/2

collect results in alphabetical order:

answer:   {x = -1/2 ,   y = -1