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mash [69]
3 years ago
13

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

Mathematics
1 answer:
uranmaximum [27]3 years ago
6 0

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

I hope this helps, mark as Brainliest please.

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Step-by-step explanation:

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If we divide each fraction by 3 ⇒

\frac{\frac{1}{6}}{3}=\frac{1}{18} and \frac{\frac{3}{7}}{3}=\frac{1}{7}

We do this to obtain a ''1'' in the numerator of the second fraction (the hours fraction). Now, we can say that :

The ferry will travel \frac{1}{18} of the distance in \frac{1}{7} hours.

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