Consider the data set. 2, 3, 5, 6, 7 (a) Find the range.
(b) Use the defining formula to compute the sample standard deviation s. (Round your answer to two decimal places.)
(c) Use the defining formula to compute the population standard deviation σ. (Round your answer to two decimal places.)

5 ; 2.07 ; 1.85

Step-by-step explanation:

Given the data:

2, 3, 5, 6, 7

The range : ( highest - lowest)

The range = (7 - 2) = 5

Sample standard deviation :

sqrt[Σ(x - m)²/ (n - 1)]

The mean (m) = Σx / n

n = sample size = 5

Σx / n ;

(2+3+5+6+7) / 5

= 23 / 5

= 4.6

[(2-4.6)^2 + (3-4.6)^2 +(5-4.6)^2 + (6-4.6)^2+ (7-4.6)^2] / (5 - 1)

= 17.2 / 4

= 4.3

Sqrt(4.3) = 2.07

Population standard deviation :

sqrt[Σ(x - m)²/ n]

The mean = m = 4.6

n = sample size = 5

[(2-4.6)^2 + (3-4.6)^2 +(5-4.6)^2 + (6-4.6)^2+ (7-4.6)^2] / 5

= sqrt(17.2 / 5)

= sqrt(3.44)

= 1.8547 = 1.85

the answer

b. they are parallel and will never intersect.

80π/3 or about 83.775

step-by-step explanation:

since a cone is 1/3 of a cylinder, we need to find the base's area. since area = πr^2, we get 16π. then, multiplying this by 5, we get 80π. dividing by 3, since the cone's volume is 1/3 of that of a cylinder's, we get 80π/3.

hope this !