city-A) Range = max - min = 2 - 0 = 2 Mean = (2 + 1 + 1.25 + 0 + 1.75) / 5 = 1.2
ID: 2933679 • Letter: C
Question
city-A) Range = max - min = 2 - 0 = 2 Mean = (2 + 1 + 1.25 + 0 + 1.75) / 5 = 1.2 Variance = [(2 - 1.2)2 + (1 - 1.2)2 + (1.25 - 1.2)2 + (0 - 1.2)2 + (1.75 - 1.2)2] / (5-1) = 0.606 Standard deviation = sqrt(0.606) = 0.779 City-B) Range = 1.5 - 1 = 0.5 Mean = (1 + 1 + 1.5 + 1.25 + 1) / 5 = 1.15 Variance = [(1 - 1.15)2 + (1 - 1.15)2 + (1.5 - 1.15)2 + (1.25 - 1.15)2 + (1 - 1.15)2] / (5-1) = 0.05 standard deviation = sqrt(0.05) = 0.224 Which city has the most dispersion based on standard deviation? A. City Upper A , because it has a higher standard deviation. B. City B, because it has a lower standard deviation. C. City Upper B , because it has a higher standard deviation. D. City A, because it has a lower standard deviation.
Explanation / Answer
A. City Upper A , because it has a higher standard deviation.
Higher the standard deviation, higher the dispersion of the data from the mean
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