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) 3, 33, 103, 4, 122, 1, 0, 245, 7, 99
C) 1, 6, 2, 100, 4, 0, 0, 0, 0, 1
D) 79, 79, 79, 79, 79, 79, 79, 79, 79, 79

Respuesta :

Answer: D

Step-by-step explanation:

Standard Deviation σ2 =

Σ(xi - μ)2/N

=(1 - 5.3)2 + ... + (9 - 5.3)2/10

=68.1/10

= 6.81

σ = √6.81

= 2.60959767014

B) σ2 =

Σ(xi - μ)2/N

=(3 - 61.7)2 + ... + (99 - 61.7)2/10

=58414.1/10

= 5841.41

σ = √5841.41

= 76.429117488036

C) (1 - 11.4)2 + ... + (1 - 11.4)2/10

=8758.4/10

= 875.84

σ = √875.84

= 29.59459410095

D) (79 - 79)2 + ... + (79 - 79)2/10

=0/10

= 0

σ = √0

= 0

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Answer:

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Explanation:

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