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tankabanditka [31]
3 years ago
5

Both sets of values have an average of 13. Is Set A's standard deviation smaller, larger, or about the same as Set B's? (Note: T

his question can be answered by knowing the concept of standard deviation, without actually computing the standard deviation).
Set A: 1 2 3 23 24 25

Set B: 8 10 12 14 16 18
Mathematics
1 answer:
Softa [21]3 years ago
5 0

Answer:

  Set A's standard deviation is larger than Set B's

Step-by-step explanation:

Standard deviation is a measure of variation. One way to judge the value of standard deviation is by looking at the range of the data. In general, a dataset with a smaller range will have a smaller standard deviation.

The range of data Set A is 25-1 = 24.

The range of data Set B is 18-8 = 10.

Set A's range is larger, so we expect its standard deviation to be larger.

__

The standard deviation is the root of the mean of the squares of the differences from the mean. In Set A, the differences are ±12, ±11, ±10. In Set B, the differences are ±5, ±3, ±1. We don't actually need to compute the RMS difference to see that it is larger for Set A.

Set A's standard deviation is larger than Set B's.

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Prove the following using a direct proof:
hodyreva [135]

Answer:

Step-by-step explanation:

Prove: That the sum of the squares of 4 consecutive integers is an even integer.

An integer is a any directed number that has no decimal part or indivisible fractional part. Examples are: 4, 100, 0, -20,-100 etc.

Selecting 4 consecutive positive integers: 5, 6, 7, 8. Then;

5^{2} = 25

6^{2} = 36

7^{2} = 49

8^{2} = 64

The sum of the squares = 25 + 36 + 49 + 64

                                       = 174

Also,

Selecting 4 consecutive negative integers: -10, -11, -12, -13. Then;

-10^{2} = 100

-11^{2} = 121

-12^{2} = 144

-13^{2} = 169

The sum of the squares = 100 + 121 + 144 + 169

                                     = 534

Therefore, the sum of the squares of 4 consecutive integers is an even integer.

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Which unit would you most likely use to represent the time it takes to drive to your friend's house, which is five miles from yo
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3 years ago
Let g(x) = 2x2 - 11x. Find g(-1).<br> A) -13 Eliminate <br> B) -9 <br> C) 0 <br> D) 13
worty [1.4K]

Solution

g(x) = 2x^{2} - 11x

Plugging in x = -1 in g(x), we get

g(-1) = 2(-1)^{2} - 11(-1)

Now we have to simplify it.

g(-1) = 2*1 + 11

g(-1) = 2 + 11

g(-1) = 13

So the answer is D) 13.


Thank you. :)

3 0
3 years ago
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