3
QuizMultiple Choice

Measures of Variability — Quiz

Question 3 • Statistical Reasoning

Some teenagers collected trash for a beach cleanup. The data for the number of pounds of trash collected by each teenager are shown. 26 , 26 , 21 , 22 , 20 , 25 , 35 What is the standard deviation of the data?

Answer
A
0 pounds
B
25 point 3 3 pounds
C
5 point 0 3 pounds
D
4 point 6 6 pounds

Explanation

The mean is (26 + 26 + 21 + 22 + 20 + 25 + 35) ÷ 7 = 25 pounds. The squared differences from the mean add to 152, so the population variance is 152 ÷ 7; its square root is about 4.66 pounds. Therefore, the standard deviation is 4.66 pounds, choice C.

AI-written and checked against the verified answer.

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