Consider a data set containing the following values. 88 96 72 84 95 100 92 90

The mean of the preceding values is 89.625. The deviations from the mean have been calculated as follows:
-1.625 6.375 -17.625 -5.625 5.375 10.375 2.375 0.375

Required:
a. If this is sample data, the sample variance is ?? and the sample standard deviation is??
b. If this is population data, the population variance is?? and the population standard deviation is??
c. Suppose the largest value of 106 in the data was misrecorded as 100. If you were to recalculate the variance and standard deviation with the 100 instead of the 106, your new values for the variance and standard deviation would be?

$5.41

step-by-step explanation:

$20 - $14.51 = $5.49.

(b) 240

step-by-step explanation:

first, we use the pythagorean formula using the given side lengths to find x. then we use x to find the side lengths. then we add the side lengths to find the perimeter.

pythagorean theorem formula:

a^2 + b^2 = c^2

(x - 20)^2 + (x - 40)^2 = x^2

x^2 - 40x + 400 + x^2 - 80x + 1600 = x^2

x^2 -120x + 2000 = 0

(x - 100)(x - 20) = 0

x - 100 = 0 or x - 20 = 0

x = 100 or x = 20

we see that the solution x = 20 must be discarded because it will give a negative side length and a side length of 0. the only valid solution is x = 100.

perimeter = sum of the lengths of the sides

perimeter = x + x - 20 + x - 40

perimeter = 3x - 60

replace x with 100.

perimeter = 3(100) - 60

perimeter = 300 - 60

perimeter = 240

1/8 is left? add a bit more info plz

(2,0) and (-3,0)

step-by-step explanation: