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4 years ago

Explain what the standard deviation is for a set of data.

Mathematics

2 answers:

Nataly [62]4 years ago

8 0

Answer:

The Standard Deviation is a measure of how spread out numbers are. You might like to read this simpler page on Standard Deviation first. But here we explain the formulas. The symbol for Standard Deviation is σ (the Greek letter sigma)

maria [59]4 years ago

3 0

Answer:

Shows the variation in data(average of all means of the data)

Step-by-step explanation:

Ok,so, if for example, data is grouped close together, then the standard deviation will be small, if the data is more spread out then the deviation will be larger. How to tell?

Well, it all depends on the distance away from the mean. The center is usally where the mean is. How far from the mean is your data?

How to calculate?

-There are multiple equations you can use depending on your data.

If you are analyzing data which represents a larger set, use sample standard deviation, if you collect data from every member of the set, then use population standard deviation.

First, calculate the mean(average) of each set of data.

Then subtract the deviance(subtract mean from each number -/+)

Square each deviation

add up all squared deviations

Divide the number by one less than the number of items in the data. (If it was 5 it would be 4.)

Then calculate the square root of the resting value.

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How many inches are there in a mile? ASAP

Veseljchak [2.6K]

Answer:

63360 inch = 1 miles.

Step-by-step explanation:

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2 years ago

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Solve the following inequality. Then place the correct answer in the box provided. 2x < 8 If someone could please explain it

Tanya [424]

When solving an inequality, the rules are similar to solving an equation, but instead there's an inequality sign. The only thing to be careful about when solving an inequality is that when you multiply/divide by a negative number, you have to flip the inequality sign, but you don't have to worry about that here!

So you have 2x < 8.

Divide both sides by 2 to isolate the variable, x:
$2x \ \textless \ 8\\
x \ \textless \ 4$

Your final inequality is x < 4.

8 0

4 years ago

Read 2 more answers

In a study to estimate the proportion of residents in a certain city and its suburbs who favor the construction of a nuclear pow

leva [86]

Answer:

The test statistic z = z = 2.368 >1.97 (at 5% level of significance)

we rejected null hypothesis at 5% level of significance

There is significant difference between the proportions of urban and suburban residents who favor construction of the nuclear plant.

Step-by-step explanation:

Given data In a study to estimate the proportion of residents in a certain city and its suburbs who favor the construction of a nuclear power plant, it is found that 63 of 100 urban residents

The first sample proportion $p₁ = \frac{63}{100} =0.63$

The construction of 59 of 125 suburban residents are in favor

The second sample proportion $p_{2} = \frac{59}{125} = 0.472$

Given the sample sizes are n₁ = 100 and n₂ =125

Null hypothesis(H₀):-there is no significant difference between the proportions of urban and suburban residents who favor construction of the nuclear plant.

Alternative hypothesis: H₁

There is significant difference between the proportions of urban and suburban residents who favor construction of the nuclear plant.

Level of significance:-

∝ =0.05

Tabulated value z=1.96

Test statistic

$z = \frac{p_{1}-p_{2} }{\sqrt{pq(\frac{1}{n_{1} } +\frac{1}{n_{2} } )} }$

where $p = \frac{n_{1}p_{1} +n_{2}p_{2} }{n_{1} +n_{2} }$ q = 1- p

Substitute all values in above equation

$p = \frac{100X0.63+0.472X125}{100+125} = 0.542$

q = 1-p = 1 - 0.542 = 0.458

The test statistic

$z = \frac{0.63-0.472}{\sqrt{0.542X0.458}(\frac{1}{100}+\frac{1}{125} )}$

on simplification , we get

z = 2.368 >1.97 (at 5% level of significance)

we rejected null hypothesis at 5% level of significance

Conclusion:-

There is significant difference between the proportions of urban and suburban residents who favor construction of the nuclear plant.

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3 years ago

Arnold borrowed $7890 at 11.5 percent for five years. How much did Arnold Pay in interest?

77julia77 [94]

Using the simple interest formula, the interest paid for the loan of $7890 at 11.5% for a term of 5 years will be:
S.I=(PRT)/100
S.I=(7890×11.5×5)/100
=$4536.75

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3 years ago

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Can someone help me please

ioda

Answer:

this is easy its C . BC is the shortest side

Step-by-step explanation:

brainliest please :)

8 0

3 years ago