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anygoal [31]
3 years ago
10

What happens to the standard deviation of the average of a sample as the sample size increases? Group of answer choices It gets

smaller It gets bigger It stays the same It depends on the value of the average
Mathematics
1 answer:
NeX [460]3 years ago
3 0

Answer:

Gets smaller

Step-by-step explanation:

- The standard deviation is the quantification of spread of data. According to descriptive statistics the standard deviation s is given by:

                             s = Σ (  x - u ) / sqrt ( n )

Where, n : sample size

            u : Mean value

- So we see that standard deviation (s) is inversely proportional to square root of sample size (n).

- We can see that as sample size (n) increases the standard deviation (s) decreases.

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Step-by-step explanation:

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i.e.

n(M) = 8

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I need a bit of help on BOTH of these. Anyone?
Leona [35]

Answer:

5) "C"

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Step-by-step explanation:

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3 years ago
What is the equation of a sine function with an amplitude of 2 and a period of 4
antiseptic1488 [7]

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Step-by-step explanation:

For this problem, we need to know the standard form of a sine function and the meaning of each part.

Standard form: y=asin[b(x-h)]+k

a=amplitude

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h=phase shift

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Now that we know the standard form and the components, we know that we can forget about k and plug in 0 for h. This would leave us with y=asin[b(x)]. We know that the amplitude is 2, therefore, a=2. To find the period, you divide 2π by the given period. \frac{2\pi }{b} =\frac{2\pi }{4\pi } =\frac{2}{4} =\frac{1}{2}, therefore, b=1/2.

y=asin[b(x)]             [plug in a=2]

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