Calculate the mean and standard deviation of the data set ...

Mean: 12.9

Standard deviation: 14.8

Step-by-step explanation:

The mean is calculated adding all of the values and dividing by the number of elements:

to find the standard deviation, we first find the variance (which is defined as the sum of all the elements subtracting the mean and squared and then dividing by the total amount of elements):

Noe that we have the variance, we can calculate the standard deviation.

The stardard deviation is defined as the squared root of the variance:

we substitute the variance:

Thus, the answer is:

Mean: 12.9

Standard deviation: 14.8

c. y = 1/4 x + 5

step-by-step explanation:

first, put the equation of the line on the graph into slope-intercept form

(y = mx + b):   y = -4x + 8

second, a perpendicular line has to have "an opposite/reciprocal slope" to the original slope. so, find the "m" value in your original equation (it's -4, right? )

original slope: m = -4   perpendicular slope: change the sign to its opposite and find the reciprocal ("flip" the number)

new slope is now positive (b/c the original slope was negative 4), and it's 1/4 (not the original slope of 4 or 4/1)