Which set has the largest standard deviation?
A)Neither,because set 1 and set 2 have the same standard deviation.
B)Set 1,because 7 and 7 in set 1 are farther from 7 than 6 and 8 in set 2.
C)Set 1,because 6 and 8 in set 1 are farther from 7 than 7 and 7 in set 2.
D)Set 2,because 6 and 8 in set 2 are farther from 7 than 7 and 7 in set 1.
E)Set 2,because 7 and 7 in set 2 are farther from 7 than 6 and 8 in set 1.

Question

Which set has the largest standard deviation? 
A)Neither,because set 1 and set 2 have the same standard deviation. 
B)Set 1,because 7 and 7 in set 1 are farther from 7 than 6 and 8 in set 2. 
C)Set 1,because 6 and 8 in set 1 are farther from 7 than 7 and 7 in set 2. 
D)Set 2,because 6 and 8 in set 2 are farther from 7 than 7 and 7 in set 1. 
E)Set 2,because 7 and 7 in set 2 are farther from 7 than 6 and 8 in set 1.

Quizplus · Accepted Answer

The standard deviation measures how spread out the data is from the mean. The mean of both sets is 7, but in set 2, there are values that are farther from the mean (6 and 8) compared to set 1. Therefore, set 2 has a larger standard deviation than set 1.

Which Set Has the Largest Standard Deviation