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Marina86 [1]
2 years ago
14

Why are quartiles generally more reliable for judging outliers than mean and standard deviation?

Mathematics
1 answer:
lesya [120]2 years ago
3 0
<span>Quartiles are generally more reliable for judging outliers than mean and standard deviations for 2 reasons. The mean is simply the average of all of the numbers, meaning that an outlier can easily be obscured by the masses. Standard deviation is a better method, however only going over by one standard deviation in either direction would also mask an outlier. A strong outlier however will pull a quartile farther in that direction than would normally be expected.</span>
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3 years ago
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None of these. All of these functions are defined as ratio of trigonometric functions.

Trigonometric functions have infinite zeroes, so when you put them in the denominator, they lead to infinitely many points of ill-definition.

Specifically, we have:

\csc(x) = \dfrac{1}{\sin(x)}

which is undefined at

\sin(x)=0\iff x=k\pi, k\in\mathbb{Z}

\sec(x) = \dfrac{1}{\cos(x)}

which is undefined at

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\tan(x) = \dfrac{\sin(x)}{\cos(x)}

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\cot(x) = \dfrac{\cos(x)}{\sin(x)}

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3 years ago
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3 years ago
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4(n-3)- 6 > 18

To solve this inequality we need to remove the parenthesis

distribute 4 inside the parenthesis

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Now divide both sides by 4

n > 9

So the value of n is greater than 9


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2 years ago
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