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Which of the following sets of data will have the smallest Standard Deviation?

A) 1, 2, 3, 4, 5, 6, 7, 8, 8, 9

B) 1, 6, 2, 100, 4, 0, 0, 0, 0, 1

C) 79, 79, 79, 79, 79, 79, 79, 79, 79, 79

D) 3, 33, 103, 4, 122, 1, 0, 245, 7, 99

Respuesta :

Answer:

c

Step-by-step explanation:

because, there is no deviation in the data, so there is no gaps between the numbers that would actually account for the standard deviation

Using the standard deviation concept, it is found that the set with the smallest standard deviation is:

C) 79, 79, 79, 79, 79, 79, 79, 79, 79, 79

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  • The standard deviation of a data-set is the square root of the sum of the differences squared of each observation and the mean, divided by one less than the number of values.
  • The smallest possible value of a standard deviation is 0, in a constant data-set, in which all values are the same.
  • Data-set C is constant, which means that it will have the smallest possible standard deviation.

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