What can be said about a set of data with a standard deviation of​ 0? ​(This is a reading assessment question. Be certain of your answer because you only get one attempt on this​ question.) Choose the correct answer below. A. All the observations are the same value. B. All the observations are 0. C. For every positive​ value, there is a corresponding negative value​ (as in 4 and −​4; 6 and −​6).

Answers

Answer 1

Answer:

A.) All the observations are the same value

Step-by-step explanation:

One of the statistical measures used to determine the spread or variability of a dataset is the variance or standard deviation. The standard deviation determines how a set of value varies about the mean value.

Mathematically,

Variability or spread = mean + number of standard deviations

Hence, a standard deviation of 0 ; means they there is no variability in the dataset. Hence, a standard deviation of 0 means all observations are of the same value.

Answer 2

For a set of data with a standard deviation of 0, the correct option is:

A: "All the observations are the same value."

What is the standard deviation?

For a given set {x₁, x₂, ...} with N elements.

With a mean M, we define the standard deviation as:

[tex]S= \sqrt{\frac{\sum (x_i - M)^2}{N - 1} }[/tex]

Notice that, because we have a squared element in the sum, all the elements of the sum are positive. So if we have a single value of the set that is different than the mean, then the standard deviation will be larger than zero.

Then the only case where the standard deviation is zero is the case where all the elements of the set are equal to the mean of the set, and that only happens if all the elements of the set are equal.

So the correct option is A:

"All the observations are the same value. "

If you want to learn more about standard deviation, you can read:

https://brainly.com/question/15858152


Related Questions

4 In February, Alec had 1,581 visitors to his website. In March, he had 1,321 visitors to his website. What is the percentage decrease of the number of visitors to Alec's website from February to March? if necessary, round to the nearest tenth of a percent​

Answers

Answer:

It is 16.4 %

Step-by-step explanation:

Subtract 1581 and 1321 to get how much it decreased.

It decreased by 260 so find what percent of 1581 is 260.

260/1581 = 0.164 which is 16.4 %

Which one doesn't belong? 100, 25, 36, 30

Answers

Answer:

Step-by-step explanation:

100 bro

I put a random subject but can u please help with this question

Answers

Answer:

Parasitism

Step-by-step explanation:

n the figure, j∥k and m∠7 = 65°. What is the m∠6?

Answers

Answer:

ΔABC ~ ΔEFD

Step-by-step explanation:

ΔABC ~ ΔEFDc

Answer:

I'm a cat, I'm a kitty cat, and a meow meow meow, and a meow meow meow

A bacteria culture grows at a rate of 16% per hour. If there were 25 bacteria present in the culture to start, how many bacteria are present after one day?

Answers

Step-by-step explanation:

me kuch nhi karunga

When a solid directly changes to gaseous state on heating , without changing to the liquid state , the gaseous material so formed is called?

Find the surface area of the triangular pyramid. The side lengths of the base are equal.
8.7 cm
6 cm
10 cm
The surface area is
square centimeters.

Answers

Answer:

522.0

Step-by-step explanation:

10*6=60

60*8.7=522.0

or you can take out the zero either way that's the answer

Answer:

522.0

Step-by-step explanation:

Step-by-step explanation:

10*6=60

60*8.7=522.0

or you can take out the zero either way that's the answer


Write the fraction as a sum of fractions three different ways.
7/10

Answers

The answer would be
5/10+2/10=7/10
1/10+3/10+3/10=7/10
6/10+1/10=7/10

Hope this helps

Have a great day/night

Leslie bought 5.2 gallons of gas. There are approximately 3.8 liters in 1 gallon. Which measurement is closest to the number of liters of gasoline Leslie bought?
A 5.72 L

B 1.37 L

B 19.76 L

D 7.1 L

Answers

Answer:

C

Step-by-step explanation:

1) A ball is dropped from a height of 50 feet. How long after it is dropped will it reach a height of 18 feet?

Answers

Answer: 1.41 seconds

Step-by-step explanation:

The problem gives the initial velocity by saying "dropped." This indicates a velocity of zero. Acceleration can also be found because the object is in free fall. It would experience the acceleration of gravity. We can use the kinematic equation:

[tex](y_f-y_i)=V_it+\frac{1}{2}at^2[/tex]

The velocity term completely cancels because the object was dropped with an initial velocity of 0.

[tex](18-50)=\frac{1}{2} (32.17)t^2\\[/tex]

[tex]-32=-16.085t^2\\t=\sqrt{1.989} =1.41s[/tex]

Marvin was buying soil for his flower garden. What would be the most reasonable amount of soil he would need to buy for a flower garden? A. 6 grams B. 60 liters C. 60 kilograms D. 6,000 kilograms

Answers

Answer:

60 liters

Step-by-step explanation:

Answer:

C. 60 kilograms

Step-by-step explanation:

The person above me is incorrect because liters is used on liquids

Please help
Solve the equation.
2 x/-10=2/5

Answers

i belive 2x is -4 but if it’s wrong pls dont be mad
Answer: x=16

Step by step explanation: 2+ x/-10 = 2/5
⇔ -20 + x = -4
⇔x = 16

Hope this helps(:

What is the x- coordinate of the ordered pair that satisfies this system of linear equations?

Answers

The answer is 0 because the ordered pair is (0,-2)

HELP IT EASY PLEASE D::::::

Answers

Answer:

36 inches

Step-by-step explanation:

The area formula for a rectangle is length times width times height

If you fill in the equation with the values given in the picture then your answer is 3

3 times 12 is 36

This exercise illustrates that poor quality can affect schedules and costs. A manufacturing process has 90 customer orders to fill. Each order requires one component part that is purchased from a supplier. However, typically, 3% of the components are identified as defective, and the components can be assumed to be independent.

Required:
a. If the manufacturer stocks 90 components, what is the probability that the 90 orders can be filled without reordering components?
b. If the manufacturer stocks 102 components, what is the probability that the 100 orders can be filled without reordering components?
c. If the manufacturer stocks 105 components, what is the probability that the 100 orders can be filled without reordering components?

Answers

Answer:

a) 0.0645 = 6.45% probability that the 90 orders can be filled without reordering components.

b) 0.4062 = 40.62%  probability that the 100 orders can be filled without reordering components.

c) 0.9034 = 90.34% probability that the 100 orders can be filled without reordering components

Step-by-step explanation:

For each component, there are only two possible outcomes. Either it is defective, or it is not. The components can be assumed to be independent. This means that we use the binomial probability distribution to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

And p is the probability of X happening.

3% of the components are identified as defective

This means that [tex]p = 0.03[/tex]

a. If the manufacturer stocks 90 components, what is the probability that the 90 orders can be filled without reordering components?

0 defective in a set of 90, which is [tex]P(X = 0)[/tex] when [tex]n = 90[/tex]. So

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]P(X = 0) = C_{90,0}.(0.03)^{0}.(0.97)^{90} = 0.0645[/tex]

0.0645 = 6.45% probability that the 90 orders can be filled without reordering components.

b. If the manufacturer stocks 102 components, what is the probability that the 100 orders can be filled without reordering components?

At most 102 - 100 = 2 defective in a set of 102, so [tex]P(X \leq 2)[/tex] when [tex]n = 102[/tex]

Then

[tex]P(X \leq 2) = P(X = 0) + P(X = 1) + P(X = 2)[/tex]

In which

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]P(X = 0) = C_{102,0}.(0.03)^{0}.(0.97)^{102} = 0.0447[/tex]

[tex]P(X = 1) = C_{102,0}.(0.03)^{1}.(0.97)^{101} = 0.1411[/tex]

[tex]P(X = 2) = C_{102,2}.(0.03)^{2}.(0.97)^{100} = 0.2204[/tex]

[tex]P(X \leq 2) = P(X = 0) + P(X = 1) + P(X = 2) = 0.0447 + 0.1411 + 0.2204 = 0.4062[/tex]

0.4062 = 40.62%  probability that the 100 orders can be filled without reordering components.

c. If the manufacturer stocks 105 components, what is the probability that the 100 orders can be filled without reordering components?

At most 105 - 100 = 5 defective in a set of 105, so [tex]P(X \leq 5)[/tex] when [tex]n = 105[/tex]

Then

[tex]P(X \leq 5) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4) + P(X = 5)[/tex]

In which

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]P(X = 0) = C_{105,0}.(0.03)^{0}.(0.97)^{105} = 0.0408[/tex]

[tex]P(X = 1) = C_{105,0}.(0.03)^{1}.(0.97)^{104} = 0.1326[/tex]

[tex]P(X = 2) = C_{105,2}.(0.03)^{2}.(0.97)^{103} = 0.2133[/tex]

[tex]P(X = 3) = C_{105,3}.(0.03)^{3}.(0.97)^{102} = 0.2265[/tex]

[tex]P(X = 4) = C_{105,4}.(0.03)^{4}.(0.97)^{101} = 0.1786[/tex]

[tex]P(X = 5) = C_{105,5}.(0.03)^{5}.(0.97)^{100} = 0.1116[/tex]

[tex]P(X \leq 5) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4) + P(X = 5) = 0.0408 + 0.1326 + 0.2133 + 0.2265 + 0.1786 + 0.1116 = 0.9034[/tex]

0.9034 = 90.34% probability that the 100 orders can be filled without reordering components

Multiply 154.18 and 5 together. Round to the nearest hundredth when necessary.

Answers

Answer:

that will be 725.10 im not sure

Answer:

The answer is 770.9 and cant be rounded to the nearest tenth.

Need help with this please also explain

Answers

Answer:

430 cm³

Step-by-step explanation:

= 11 × 10 × 2

= 220 cm³

= 10 × 3 × (9-2)

= 210 cm³

= 220 + 210

= 430 cm³

Answer:

430 cubic centimeters

Step-by-step explanation:

Lets start by separating both figures. Start with the one in the back, which is the bigger one.

Given:

Length = 10 cm

Width = 3 cm

Height = 9 cm

This is a rectangle and the volume of a rectangle is L x W x H. Therefore,

Volume = 10 x 3 x 9 = 270 cubic centimeters

Now we move on to the second figure.

Given:

Length = 10 cm  (Given from the other rectangle)

Width = 8 cm (We do 11 - 3 since we separated the rectangles)

Height = 2 cm

Using the same formula we get the following.

Volume = 10 x 8 x 2 = 160 cubic centimeters

____

Finally, we add both volumes back since we separated the figures in the beginning.

Volume = 270 + 160 = 430 cubic centimeters

A number is divided into two parts, such that one part is 10 more than the other, if the two parts are in the ratio 5:3, find the number and the two parts.

Answers

Answer:

Step-by-step explanation:

25:15

5x5=25

3x5=15

-1/2(2x-8) distribution

Answers

Answer:

-1x+4

Step-by-step explanation:

-1/2 times 2x equals -1x. -1/2 times -8 equals 4.

There are some apples and 8 pears in a basket. Each of them is either green or yellow. There are three more apples than the total number of green fruit. There are 6 yellow pears. How many yellow apples are there in the basket?

Answers

Answer:

5 yellow apples

Step-by-step explanation:

Pears = p ; apples = a

p = 8 ; let Number of apples = x

All fruits are either green or yellow

Total green fruits = x - 3

Number of yellow pears = 6

Green pears = total pears - yellow pears

Green pears = 8 - 6

Green pears = 2

Green fruits = green pears + green apples

x - 3 = 2 + green apples

Green apples = x - 3 - 2

Green apples = x - 5

Apples = green apples + yellow apples

Yellow apples = apples - green apples

Yellow apples = x - (x - 5)

Yellow apples = x - x + 5

Yellow apples = 5

Hence, there are 5 yellow apples

There are 5 yellow apples in the basket.

What is an equation?

An equation is an expression that shows the relationship between two or more numbers and variables.

Let a represent green apples, b represent yellow apples, c represent green pears and d represent yellow pears, hence:

There are some apples and 8 pears in a basket:

c + d = 8

There are three more apples than the total number of green fruit:

a + b = a + c + 3

b = c + 3

c = b - 3

There are 6 yellow pears, d = 6. Since:

c + d = 8, hence:

b - 3 + 6 = 8

b = 5

There are 5 yellow apples in the basket.

Find out more on equation at: https://brainly.com/question/2972832

Express 3 kilograms as a fraction of 1800 grams

Answers

Answer:

3000/1800 = 5/3

Step-by-step explanation:

3 kilograms is 3000 grams = 3000/1800 simplified to the smallest is 5/3

sorry if this isn't what you're looking for

A loan of $20,000 is made at 7% interest, compounded annually. After how many years will the amount due reach $41,000 or more?​

Answers

Answer:

Step-by-step explanation:

11 years

Using the compound interest formula. :

Final amount, A = 41000 or more

Rate, r = 7% = 0.07

Loan amount, P = 20,000

Number of compounding times per period = 1

A = P(1 + r/n)^nt

41000 = 20000(1 + 0.07)^t

41000/20000 = 1.07^t

2.05 = 1.07^t

t = log(2.05) / log(1.07)

t = 10.609727

t = 11 years

pls help math qucikly

Answers

Answer:

1/3

Step-by-step explanation:

Bianca graphs the data in the table and finds that the trend line is s = 2.2 f + 4.7. Based on the information given, a player who makes 22 free throws in a game should score about how many points? 39 44 53 66

Answers

Answer:

s = 53

Step-by-step explanation:

Bianca graphs the data in the table and finds that the trend line is :

s = 2.2 f + 4.7

We need to find the score when there are 22 free thrown in a game. Put f = 22 in the above equation.

s = 2.2(22) + 4.7

= 53.1

pr

s = 53

Hence, there is 53 score when f = 22.

Answer:

c

Step-by-step explanation:

what is the answer
y-11=25-3y

Answers

Answer:

9

Step-by-step explanation:

y-11=25-3y

y + 3y = 25 + 11

4y = 36

y = 36 / 4

y = 9

Hope it will help :)

i need help on this pls​

Answers

Answer: 10

Step-by-step explanation:

All you have to do to get the bottom number is add the numbers already there

Answer:

The width is equal to 12 meters

Step-by-step explanation:

The Volume equals length x width x height. In our case, we know the length and the height so we can find the width the following way...

V = (l)(w)(h)

[tex]w = \frac{V}{(l)(h)}[/tex]

[tex]w = \frac{288}{(4)(6)}[/tex]

[tex]w = \frac{288}{24}[/tex]

w = 12 m

х+5y = 16
x+3y = 10
what does x and y equal

Answers

Answer:
x = 0
y = 3.5

Explanation:
x + 5y = 16 x + 3y = 10
-x -x
5y = 16 3y = 10
5 x 3.5 = 16 3 x 3.5 = 10
x=1
y=-1
THIS IS THE CORRECT ANSWER

Plzzzzz help meeee


Which correctly lists three places that fresh water is found?
rivers, oceans, lakes
oceans, coastal wetlands, seas
ice sheets, water vapor, rivers
water vapor, streams, oceans

Answers

Answer:

ice sheets water vapor, and rivers

Step-by-step explanation:

vote brainiest if this helped

Answer:

c

Step-by-step explanation:

25 = 3x - 5
What does X equal?

Answers

Answer:

The answer is x = 10

Step-by-step explanation:

Move all terms that don't contain  x  to the right side and solve.

hoped this helped!

brainly, please?

Answer:

x = 10

Step-by-step explanation:

Step 1: Flip the equation.

3x−5=25

Step 2: Add 5 to both sides.

3x−5+5=25+5

3x=30

Step 3: Divide both sides by 3.

How many parts does the net of a cylinder have?

four
three
two
five

Answers

Answer:

the net of a cylinder has 3 parts to it

Answer:

B three

Step-by-step explanation:

The net of a cylinder consists of three parts: One circle gives the base and another circle gives the top. A rectangle gives the curved surface.

Plzzzzzz helpppppp!!!!!!

Answers

Answer:

h(x) ≤ 5

Step-by-step explanation:

The function and boundaries given are;

h(x) = x + 2, x < 3

And ;

h(x) = -x + 8, x ≥ 3

Now,in the first condition, the maximum value of x will be 2. This means the maximum value of h(x) there is;

h(2) = 2 + 2 = 4

For the second condition, x ≥ 3. Thus, the maximum value of x is 3.

This means that the maximum value of h(x) here is;

h(3) = -3 + 8 = 5

Foe the 2 conditions combined it is clear that the maximum value of h(x) is 5.

Thus,we can say; h(x) ≤ 5

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