3 years ago

Help Please !!! Math

Mathematics

1 answer:

Keith_Richards [23]3 years ago

6 0

The 3rd one I thinkkkkk ??

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Answer:

$Mean = 48.6364$

$s^2 = 331.8545$ -- Sample Variance

$s = 18.2169$ --- Sample Standard Deviation

Step-by-step explanation:

Given

$n = 11$

$Data: 24, 41 ,25 ,68 ,53 ,83 ,43 ,63 ,56 ,34 ,45$

Solving (a): The sample mean

$Mean = \frac{\sum x}{n}$

So:

$Mean = \frac{24 +41 +25 +68 +53 +83 +43 +63 +56 +34+ 45}{11}$

$Mean = \frac{535}{11}$

$Mean = 48.6364$

Solving (b): Sample variance (s^2)

This is calculated as:

$s^2 = \frac{\sum (x - \bar x_i)^2}{n - 1}$

Where:

$\bar x = 48.6364$

So:

$s^2 = \frac{(24 -48.6364)^2 +(41 -48.6364)^2 +......................+( 45 -48.6364)^2}{11-1}$

$s^2 = \frac{3318.54545456}{10}$

$s^2 = 331.8545$

Solving (c): Sample Standard Deviation (s)

This is calculated as:

$s = \sqrt {s^2$

$s = \sqrt{331.8545$

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Answer:

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Step-by-step explanation:

5(2x+3)-(x+4)

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