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Alex787 [66]
3 years ago
13

A disadvantage of using an arithmetic mean to summarize a set of data is that __________. Select one: a. The arithmetic mean som

etimes has two values b. It can be used for interval and ratio data c. It is always different from the median d. It can be biased by one or two extremely small or large values
Mathematics
1 answer:
DochEvi [55]3 years ago
6 0

Answer:

d. It can be biased by one or two extremely small or large values

Step-by-step explanation:

Specially in a small sample, a single measure can cause a large difference.

For example, you are selling yourself as a tutor, you have five students. 4 of them got good grades, but the other one got 0. The arithmetic mean is not going to be kind to your averages, in virtue of the outlier.

So the correct answer is:

d. It can be biased by one or two extremely small or large values

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3 years ago
Use the double-angle formula for cosine to establish the identity cos (theta / 2) = ±cos(theta) + 1 / 2 .
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Step-by-step explanation:

For this case we want to proof this identity:

cos(\frac{\theta}{2}) = \pm \sqrt{\frac{1+ cos(x)}{2}}

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If we use a substitution for example x = \frac{\theta}{2} we see that the double angle formila is given by:

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And we got:

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4 years ago
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