3 years ago

Which formula is used to calculate the standard deviation of sample data?

Mathematics

2 answers:

Cloud [144]3 years ago

8 0

Answer:

s = sqrt [ Σ ( x i - x ) 2 / ( n - 1 ) ]

Step-by-step explanation:

where s is the sample standard deviation, x is the sample mean, x i is the ith element from the sample, and n is the number of elements in the sample. And finally, the standard deviation is equal to the square root of the variance.

Setler79 [48]3 years ago

4 0

Answer:

Step-by-step explanation:

e2020

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Answer:

The correct answer is " $2.633< \sigma < 4.480$ ".

Step-by-step explanation:

Given:

n = 21

s = 3.3

c = 0.9

now,

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⇒ $x^2_{\frac{\alpha}{2}, n-1 }$ = $x^2_{\frac{0.9}{2}, 21-1 }$

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⇒ $x^2_{1-\frac{\alpha}{2}, n-1 }$ = $10.851$

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The 90% Confidence interval will be:

= $\sqrt{\frac{(n-1)s^2}{x^2_{\frac{\alpha}{2}, n-1 }} } < \sigma < \sqrt{\frac{(n-1)s^2}{x^2_{1-\frac{\alpha}{2}, n-1 }}$

= $\sqrt{\frac{(21-1)3.3^2}{31.410} } < \sigma < \sqrt{\frac{(21.1)3.3^2}{10.851} }$

= $\sqrt{\frac{20\times 3.3^2}{31.410} } < \sigma < \sqrt{\frac{20\times 3.3^2}{10.851} }$

= $2.633< \sigma < 4.480$

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