If a number is added to a set that is far away from the mean, how does this affect standard deviation?

Answers

Answer 1

Adding a number to the set such that the number is further away from the mean, will increase the SD. This is because the average distance of the numbers from the mean increases.

Answer 2

The Standard Deviation will increase if a new number is added to the collection that deviates more from the mean. This is due to an increase in the standard deviation of the numbers.

How the standard deviation is affected if a number is added to a set that is far away from the mean?

The standard deviation demonstrates how widely things vary or diverge from the mean (mean, or expected value).

The Standard Deviation will vary if all terms in the set are multiplied or divided by the same number. The Standard Deviation will vary by the same amount.

The same number will likewise be changed for the mean. Imagine an animated, proportionate size growth for the spatter. There will be a change in the "measure of spread". The distance between each term and the mean doubles if every term is doubled, but the distance between each term also doubles, increasing the standard deviation. The Standard Deviation gets smaller if each word is divided by two.

In general, the Standard Deviation is decreased when a new number is added to the set that is extremely close to the mean. Visualize the paint spatter on the wall. Would the dispersion be more or smaller if we paint a droplet extremely near the center? – decrease because there are now relative to before more droplets at the center.

To find about the similar questions on 'standard deviation', click here:

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Related Questions

The height, h, of a plant (in inches) w weeks since it was planted is represented by the equations h=3w+3. How many weeks will it takes the plant to reach one foot.

Answers

Answer: 3 weeks

Step-by-step explanation:

We have to note firstly that 12 inches = 1 foot.

The equation given to represent the height in the question, h = 3w + 3.

The number of weeks that it will take the plant to reach one foot will then be:

h = 3w + 3

12 = 3w + 3

3w = 12 - 3

3w = 9

w = 9/3

w = 3

It'll take 3 weeks

Find the volume of a cube that measures 3 ft high

Answers

Answer:

27ft^3

Step-by-step explanation:

3^3 is 27

PLZ PLZ PLZ PLZ PLZ PLZ HELP I NEED HELP PLZZZZZZZZZ 12 POINTS

The expression 2(4+v)+9v is simplified in several steps below.

For each step, choose the reason that best justifies it.

8+2v+9v

commutative property of addition

associative property of addition

distributive property of addition

combining like terms

8+11v

commutative property of addition

associative property of addition

distributive property of addition

combining like terms

11v+8

commutative property of addition

associative property of addition

distributive property of addition

combining like terms

Pick from the options what the equations are

Answers

Answer:

a.) distributive property

b.) combining like terms

c.) cumutitative property

Landon owns 16 baseball cards, which is 4 times as many as Phillip owns.
The equation 4p=16 represents this situation where p is the number of baseball cards Phillip owns.
Which number line represents the solution to the equation?

Answers

Answer:

B

Step-by-step explanation:

i'm probably wrong but based on the information they give you the most likely answer has to be B. ok- well if you think abt it landon has 16 cards and that's 4 times as many as phillip has. so, phillip's cards could range anywhere between 4 and 16-

sorry if i'm incorrect :/ hope you get a good score or whatever tho

PLS HELP!!!!! I DONT GET IT

Answers

Answer:

Step-by-step explanation:

They give you the equation and wish that you evaluate that expression by terms provided. You need only to substitue the values given into the equation

a)3(2^1)=3(2)=6

b)3(2^4)=3(16)=48

Answer:

a. 3 x 2^1 = 6

b. 3 x 2^4 = 48

Step-by-step explanation:

You basically just fill in the "t" spot with 1 and 4 and then solve it from there.

Hope this helped!!

pls help me I don't understand​

Answers

Answer:

[tex]d. \: \: \: 25 {x}^{6} [/tex]

Step-by-step explanation:

Given,

Side of the square

[tex] = 5 {x}^{3} [/tex]

Therefore, area of the square = side × side

[tex] = {5x}^{3} \times 5 {x}^{3} [/tex]

[tex] = 5 \times 5 \times {x}^{3 + 3} [/tex]

[tex] = 25 {x}^{6} [/tex]

The formula for calculating the area of a square is A=a^2. (a=side)
There are multiple ways to solve this but I’m gonna use the simple way to explain.
All we have to do here is take the side times the side:
5x^3•5x^3
5•5=25
**Careful** exponents are added, not multiplied.
25x^6 is the answer

pls :,) i’m begging u

Answers

Answer would be C. (-2,0) (0,3)
Y= -2/3 - 3
Mark the first guy Brainliest he got it right

I need help with this can anyone please help

Answers

Answer:

56

Step-by-step explanation:

4*7*2 is 56

Hope that helps and please tell me if I am wrong

Describe how math in middle school differs from
high school math class?

Answers

high school math classes are more advanced than middle school math classes
High school math classes are a higher difficulty level, but most of what you learned in middle school math classes is used. It’s best to remember what you learned because you will end up using it in high school.

Shed A and Shed B are both rectangular prisms. Shed A has a length 6½ feet, width 6½ feet, and height 8½ feet. Shed B has length and width twice as long as Shed A, but has the same height. What is the volume of Shed B?

Answers

Answer:

1436.5 ft^3

Step-by-step explanation:

Shed B

L = 2* 6.5 = 13

W = 2*6.5 = 13

H = 8.5

Formula

Volume = L*w*h

Solution

Volume = 13 * 13 * 8.5

Volume = 1436.5

Need help with math again ​

Answers

Answer:

x=15

Step-by-step explanation:

x=√(12)²+(9)²

x=√144+81=√225

x=15units

Help please
n/9 + 2/3 = -2/3

Answers

Answer:

n = - 12

Step-by-step explanation:

n/9 + 2/3 = - 2/3

n/9 = - 2/3 - 2/3

n/9 = - 4/3

n = 9(- 4/3)

n = -36/3

n = - 12

Finding missing angles
Help asap pls!!

Answers

20 is x because adding it all should be 180

Answer:

it dosent load

Step-by-step explanation:

u can type the angles in the comments and i can help u with that

Why is it appropriate to use the trigonometric functions on triangle FGJ but not on triangle FHJ?

Answers

Answer:

wdym???????

Step-by-step explanation:

Parallelogram FGHJ was dilated and translated to form similar parallelogram F'G'H'J'. What is the scale factor of the dilation?

Answers

Answer:

The scale factor is 4

Step-by-step explanation:

Given

See attachment for parallelograms

Required

Determine the scale factor (k)

Using sides FG and F'G' as a point of reference:

[tex]FG = 2\ units[/tex]

[tex]F'G' = 8\ units[/tex]

The scale factor (k) is calculated as:

[tex]k = \frac{New}{Original}[/tex]

[tex]k = \frac{F'G'}{FG}[/tex]

[tex]k = \frac{8\ units}{2\ units}[/tex]

[tex]k = 4[/tex]

Can someone help me with this

Answers

Answer:

B

Step-by-step explanation:

i think its B because the your line is in the negatives and to be specific in -5

and the line that is going to the right that means it is going to the positive so its positive infinet

Hope it's correct

Answer:

hi

Step-by-step explanation:

i think its B

you should inverse the function from x=y line

i cant explain in enlish better than this

hope this helps

if have more questions just ask

If a box is 100cm x 100cm x 30cm, what is its volume?

a: 300,000cm^3

b: 30,000 cm^3

c: 30,000,000 cm^3

get the answer right please.

Answers

The answer would be A as Volume = height x width x depth the answer would be cm3 if the height, distance, and depth are all measured in centimetres.

Kalyan's present age is one third his mothers present age . If the mothers age was 5 times his age 6 years ago ,what are their present age

Answers

Current ages:

Let Kaylan's present age be x years

Since his age is a third of his mother's present age:

mother's age * (1/3) = Kaylan's age

mother's age * (1/3) = x        

mother's age = 3x                                     [multiplying both sides by 3]

Kaylan's mother's age would be 3x years

Their ages 6 years ago:

Kaylan's age: x-6 years

Mother's age: 3x-6 years

We are told that mother's age was 5 times Kaylan's age, 6 years ago. So,

5*(Kaylan's age 6 years ago) = (Mother's age 6 years ago)

replacing the values

5(x - 6) = 3x-6

5x - 30 = 3x-6

2x - 30 = -6                                             [subtracting 3x from both sides]

2x = 24                                                    [adding 30 on both sides]

x = 12                                                       [dividing both sides by 2]

Hence, x = 12

Kaylan's present age(x) = 12 years

Mother's present age(3x) = 3*12 = 36 years

5
11

= ÷
i need help im confused

Answers

Answer:

huh i dont get the queation

The value of your favorite car was $40,000 in 2019. You can only afford to pay $25,000. The depreciation rate is 12%. When can you afford the car?

Answers

Answer:

$40,000 Car Loan. Calculate the Monthly Payment.

Step-by-step explanation:

Answer:

3.13 years

Step-by-step explanation:

if that 12 percent was how much is depreciated each year

What is this supplementary angle?

Answers

Answer:

Step-by-step explanation:

Supplementary angles sum to 180 degrees.

x+118=180

x=62 degrees

Answer:

62°

Step-by-step explanation:

A supplementary angle is 180°.

180-118= 62

what is 2/10 divided by 2/4

Answers

Given:

[tex]\dfrac{2}{10}[/tex] divded by [tex]\dfrac{2}{4}[/tex].

To find:

The solution for the given division problem.

Solution:

We have, [tex]\dfrac{2}{10}[/tex] divded by [tex]\dfrac{2}{4}[/tex]. It can be written as

[tex]\dfrac{2}{10}\div \dfrac{2}{4}=\dfrac{2}{10}\times \dfrac{4}{2}[/tex]

[tex]\dfrac{2}{10}\div \dfrac{2}{4}=\dfrac{2\times 4}{10\times 2}[/tex]

[tex]\dfrac{2}{10}\div \dfrac{2}{4}=\dfrac{8}{20}[/tex]

[tex]\dfrac{2}{10}\div \dfrac{2}{4}=\dfrac{2}{5}[/tex]

Therefore, the solution for the given division problem is [tex]\dfrac{2}{5}[/tex].

what's the value of a ?
[tex]a {}^{2} = 196[/tex]

Answers

ANSWER :

▶️a = √196

▶️a = 14

VARIFICATION :

▶️ 14² = 14×14

▶️ 14² = 196

hence , 14 is the answer..

what's
[tex] \sqrt{ {25}^{2} - 15 {}^{2} } [/tex]

Answers

I’m pretty Sure that the answer would be 20 because 25 to the power of 2 would be 50 and 15 to the power of 2 is 30 and 50 - 30 =20

Answer:

20 Ans ..

Step-by-step explanation:

Given:

=25²-15²

Solution:

= √625-225

= 20 ans .....

Can you help me with this answer

Answers

Answer:

B and D are correct.

Step-by-step explanation:

To find the area of a rectangle, simply multiply its length by its width. In this case, the length of the rectangle is [tex]5[/tex] m and the width of the rectangle is [tex]3[/tex] m, so its area must be [tex]5*3=15[/tex] square meters.

To find the area of a triangle, divide the product of the triangle's base and height by [tex]2[/tex]. As an algebraic expression, that would be [tex]\frac{bh}{2}[/tex], where [tex]b[/tex] and [tex]h[/tex] are the triangle's base and height, respectively. In this case, [tex]b=6[/tex] and [tex]h=5[/tex], so the triangle's area is [tex]\frac{6*5}{2}=15[/tex] square meters.

Now, let's look at the statements.

A: The triangle's area is [tex]15[/tex] square meters, not [tex]30[/tex], so A is incorrect.

B: The rectangle's area is [tex]15[/tex] square meters and the triangle's area is also [tex]15[/tex] square meters. Because the two figures have the same areas, their areas are equal, so B is correct.

C: We've already established that the two figures have equal areas, so one can't have a greater area than the other. Therefore, C is incorrect.

D: The rectangle's area is indeed [tex]15[/tex] square meters, so D is correct.

Hope this helps!

Answer:

B is correct, and D is correct

if you multiply 3 times 5 you get 15 m which is the area for the rectangle, then you have to find the area for the triangle, which you would have to multiply 6 times 5 which you get 30, then divide 30 by 2, which would be 15!

Step-by-step explanation:

Mr John leased two thousand fifty meter square of land from the city administration. He gave one eighth of his land to his brother. How many meters square did he have left?

Answers

Answer:

1793.75 m²

Step-by-step explanation:

Given that :

Total amount of land leased = 2050 m²

Fraction of land given to brother = 1/8

Amount of land given to brother :

1/8 * 2050 = 256.25 m²

Amount of land left :

2050 m² - 256.25 m²

= 1793.75 m²

[ASPS]WILL GIVE BRAINLIEST

Answers

Answer:

hi

Step-by-step explanation:

you should know that the sum of interior angles of a hexagon is 720 so

[tex]4x - 10 + 2x + 8 + x - 12 + 7x + 3x + 135 = 720 \\ 17x = 121 \\ x = \frac{121}{17} = 7.11764[/tex]

i need help asap plz

Answers

Answer:

A

Step-by-step explanation:

The constant of proportionality is the ratio between the two proportional variables in a directly proportional relationship. In this case, the variables are [tex]x[/tex] and [tex]y[/tex].

To find the constant of proportionality, all we have to do is divide any value of [tex]y[/tex] by its corresponding value of [tex]x[/tex]. Let's take the values in the first row of the table. We know that [tex]x=2[/tex] and [tex]y=12[/tex], so the constant of proportionality is [tex]\frac{y}{x}=\frac{12}{2} =6[/tex]. Hope this helps!

a gallon of water weighs 8 1/3 lb. how much does 1 1/5 gal of water weigh

Answers

Answer:

1 1/5 gallons is 6/5 volume of 1 gallon. Therefore, 8 1/3 * 6/5 = 25/3 * 6/5 = 150/15 = 10 lbs.

Step-by-step explanation:

What is the largest integer greater than - 81?

Answers

Answer:

28

Step-by-step explanation:

28

Explanation:

Let the first integer be

n

Then the sum is

n

+

(

n

+

1

)

+

(

n

+

2

)

=

81

Giving

3

n

+

3

=

81

3

n

=

78

n

=

78

3

=

26

Thus the largest integer

n

+

2

=

26

+

2

=

28

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