2. given the data 21, 13, 13, 37, 13, 23, 25, 15: what is the outlier in the data? what is the mean with the outlier? what is the mean without the outlier?

First let us define what an outlier is:

A value that "lies outside" (is much smaller or larger than) most of the other values in a set of data.

21, 13, 13, 37, 13, 23, 25, 15

Rearranging the data in ascending order,

13, 13, 13, 15, 21, 23, 25, 37

As we can see 37 is the outlier here as it way too bigger than other numbers.

Calculating mean with the outlier:

mean is found using the formula:

number of data values= 8

sum of data values = 13+13+13+15+21+23+25+37=160

Mean = 160/8 = 20

With the outlier mean is 20.

Calculating mean without outlier:

Number of data values = 7

sum of data values = 13+13+13+15+21+23+25=123

Mean = 123 /7 = 17.57

Mean without outlier is 17.57

astronomers is your final answer! : )

for this case we have by definition, if two lines are perpendicular, then the product of their slopes is -1.

then, given the following line:

so,

we are looking for m_ {2}:

then, the line is given by:

we find "b" replacing the given point:

finally, the equation is:

option c