Answered

Welcome to Westonci.ca, your go-to destination for finding answers to all your questions. Join our expert community today! Explore a wealth of knowledge from professionals across different disciplines on our comprehensive platform. Experience the ease of finding precise answers to your questions from a knowledgeable community of experts.

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.)

Sagot :

fichoh

Answer:

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

Thank you for your visit. We're dedicated to helping you find the information you need, whenever you need it. We appreciate your visit. Our platform is always here to offer accurate and reliable answers. Return anytime. Westonci.ca is committed to providing accurate answers. Come back soon for more trustworthy information.