SOLUTION: The data list shows the scores of ten students in Mr. Smith's math class. 61, 67, 81, 83, 87, 88, 89, 90, 98, 100 What is the standard deviation, to the nearest tenth, of the

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Question 1101783: The data list shows the scores of ten students in Mr. Smith's math class.
61, 67, 81, 83, 87, 88, 89, 90, 98, 100
What is the standard deviation, to the nearest tenth, of the data if the scores represent a sample of Mr. Smith's students?
What is the standard deviation, to the nearest tenth, of the data if the scores represent the entire population of Mr. Smith's students?


Answer by richwmiller(17219) About Me  (Show Source):
You can put this solution on YOUR website!
Mean: xbar = (∑i=1...10 xi)/10 = (61 + ... + 100)/10 = 84.4

Sum Of Squares in X

SSX = ∑i (x - xbar)2 = (61 - 84.4)2 + ... + (100 - 84.4)2 = 1364.4

Standard deviation

Sample:

s = √[SSX / (10 - 1)] ≈ 12.3

Population:

σ = √(SSX / 10) ≈ 11.7
https://www.wyzant.com/resources/answers/207611/the_data_list_shows_the_scores_of_ten_students_in_mr_smith_39_s_math_class