Which set has the largest standard deviation?
A)Set 2,because set 2 has a wider range and will have a smaller SD.
B)Set 1,because set 1 has a narrower range and will have a larger SD.
C)Set 1,because the minimum and maximum in set 1 are farther from the centre.
D)Neither,because the values in set 2 are just the values in set 1 plus 45.
E)Set 2,because the minimum and maximum in set 2 are farther from the centre.

Question

Which set has the largest standard deviation? 
A)Set 2,because set 2 has a wider range and will have a smaller SD. 
B)Set 1,because set 1 has a narrower range and will have a larger SD. 
C)Set 1,because the minimum and maximum in set 1 are farther from the centre. 
D)Neither,because the values in set 2 are just the values in set 1 plus 45. 
E)Set 2,because the minimum and maximum in set 2 are farther from the centre.

Quizplus · Accepted Answer

The standard deviation measures the dispersion of data points around the mean. Set 2 has a larger range of values, meaning that the minimum and maximum values are farther away from the mean than in Set 1. This results in larger deviations from the mean, therefore a larger standard deviation.

Which Set Has the Largest Standard Deviation