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oksian1 [2.3K]
3 years ago
6

The variance can never bea.zerob.larger than the standard deviationc.negatived.smaller than the standard deviation

Mathematics
1 answer:
MrRa [10]3 years ago
7 0

Answer:

c.negative

True, by definition since the variance take in count the differences around the mean squared, then we can't have a negative value for a sum of square values.

Step-by-step explanation:

We need to remember that the variance is a measure of dispersion for a dataset respect to a measure of central tendency called the mean. The mean is defined as:

\bar x = \frac{\sum_{i=1}^n X_i}{n}

And the population mean is given by:

\mu= \frac{\sum_{i=1}^n X_i}{N}

The population variance is defined by:

\sigma^2 = \frac{\sum_{i=1}^n (X_i -\mu)^2}{N}

And the sample variance is defined as:

s^2= \frac{\sum_{i=1}^n (X_i -\bar x)}{n-1}

Now if we analyze the options we have this:

a.zero

False, if all the values are the same then the mean would be the same to the values and the difference between each value and the mean would 0 and indeed the variance would be 0.

b.larger than the standard deviation

False, if the population standard deviation is \sigma=2 then the variance would be \sigma^2 = 4 and as we can see is higher than the standard deviation

c.negative

True, by definition since the variance take in count the differences around the mean squared, then we can't have a negative value for a sum of square values.

d.smaller than the standard deviation

False, if the population standard deviation is \sigma=0.1 then the variance would be \sigma^2 = 0.01 and as we can see is lower than the standard deviation

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Step-by-step explanation:

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3 years ago
Is the answer 3, 4, 5, or 6? need answer asap please! :)
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I think 3 is the minimum.
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Which of these is a point-slope equation of the line that is perpendicular to y-25=2(x-10) and passes through (-3,7)
OLEGan [10]
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Answer the question below please
DaniilM [7]

The correct answer is : of those planning to not to go on vacation, more of them are women.

The correct answer is (C)

<h3>What is probability?</h3>

Probability means possibility. It is a branch of mathematics that deals with the occurrence of a random event

Given:  total people asked =145

The first option is not correct because plan to go on vacation women are more than men.

The second option is also incorrect because more women were asked than men.

The third option is correct because out of planning who were not going any vacation, women are more than of men.

The fourth option is incorrect because More men plan to go on vacation.

Learn more about probability here:

brainly.com/question/11234923

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2 years ago
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givi [52]

Answer:

<h2>           y = -5</h2>

Step-by-step explanation:

y = 3x − 26

2x − y = 19

2x - (3x - 26) = 19

2x - 3x + 26 = 19

   - x = - 7

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y = 3•7 -26 = 21 - 26 = - 5

6 0
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