Homework: Section 3.2 Score: 0.75 of 1 pt 9 of 13 (13 complete) HW Score: 87.31%
ID: 3304185 • Letter: H
Question
Homework: Section 3.2 Score: 0.75 of 1 pt 9 of 13 (13 complete) HW Score: 87.31%, 11.35 of 13 pts 3.2.5 Question Help * Below are the jersey numbers of 11 players randomly selected from a football team. Find the range, variance, and standard deviation for the given sample data. What do the results tell us? 57 64 54 36 71 91 55 92 6 43 49 Range 86 (Round to one decimal place as needed) sample standard deviation-L(Round to one decimal place as needed ) Enter your answer in the answer box and then click Check Answer 2 remaining Clear AllExplanation / Answer
57 64 54 36 71 91 55 92 6 43 49
Maximum value = 92
Minimum value = 6
Range = Maximum value - Minimum Value
= 92 - 6 = 86
Mean = (57 + 64 + 54 + 36 + 71 + 91 + 55 + 92 + 6 + 43 + 49) / 11
= 56.2
Sum of squares of differences = (57-56.2)2 + (64-56.2)2 + (54-56.2)2 + (36-56.2)2 + (71-56.2)2 + (91-56.2)2 + (55-56.2)2 + (92-56.2)2 + (6-56.2)2 + (43-56.2)2 + (49-56.2)2 = 5933.64
=> Sample variance = 5933.64 / 10 = 593.364
Sample standard deviation = 593.364 = 24.36 = 24.4
Related Questions
Navigate
Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.