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Without making any calculations, which data set has the smallest standard deviation?

A. [tex]$1, 1, 2, 2, 3, 3$[/tex]
B. [tex]$1, 3, 5$[/tex]
C. [tex]$0, 1, 5, 6, 9, 10$[/tex]
D. [tex]$1, 1, 1, 1, 2, 2, 2, 2$[/tex]

Sagot :

GinnyAnswer
To determine which data set has the smallest standard deviation, we need to compare the standard deviations for each set.

The standard deviations for the given data sets are as follows:

1. Data set [tex]\([1, 1, 2, 2, 3, 3]\)[/tex] has a standard deviation of approximately 0.8165.
2. Data set [tex]\([1, 3, 5]\)[/tex] has a standard deviation of approximately 1.6330.
3. Data set [tex]\([0, 1, 5, 6, 9, 10]\)[/tex] has a standard deviation of approximately 3.7156.
4. Data set [tex]\([1, 1, 1, 1, 2, 2, 2, 2]\)[/tex] has a standard deviation of 0.5.

By comparing these values, the data set [tex]\([1, 1, 1, 1, 2, 2, 2, 2]\)[/tex] has the smallest standard deviation, which is 0.5. Therefore, this is the data set with the smallest standard deviation.
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