Homework: Section 3.2 Save Hw score: 87.31%, 11.35 of 13 pts Question Help * Sco

Question

Homework: Section 3.2 Save Hw score: 87.31%, 11.35 of 13 pts Question Help * Score: 0.75 of 1 pt 9 of 13 (13 complete) 3.2.5 Below are the jersey numbers of 11 players randomly selected from a footbal sample data. What do the results tell us? l team. Find the range, variance, and standard deviation for the given 6011544 50 76 19 38 53 8 63 Range 75 (Round to one decimal place as needed) Sample standard deviation (Round to one decimal place as needed) More Enter your answer in the answer box and then click Check Answer. 2 Clear All

Explanation / Answer

Range = Max-Min = 76-1 = 75

The mean is 38.818

Variance = (60-38.818)^2 + ... (63-38.818)^2 / 11-1 = 624.01

Sample standard deviation = sqrt((60-38.818)^2 + ... (63-38.818)^2 / 11-1) = 24.98

The result tell us that standard deviation , almost 25. The range rule of thumb says that the range is approximately four times the standard deviation. SO, range = 75 < 4*25.

Hence, we conclude that the standard deviation is quiet high

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