What is the standard deviation?

8, 10, 12,14,16,18,20

PLEASE show work

Answers

Answer 1

Answer:

4

Step-by-step explanation:

The given data is :

8, 10, 12,14,16,18,20

We need to find the standard deviation. Here,

Count = 7

Sum, Σx: 98

Mean, μ: 14

The standard deviation is given by :

[tex]\sigma=\sqrt{\dfrac{1}{N}\Sigma(x_i-\mu)^2}[/tex]

or

[tex]\sigma^2=\dfrac{1}{N}\Sigma(x_i-\mu)^2\\\\=\dfrac{(8-14)^2+...+(20-14)^2}{7}\\\\=\dfrac{112}{7}\\\\\sigma^2=16\\\\\sigma=4[/tex]

So, the standard deviation of the given data is 4.


Related Questions

A camel can drink 15 gallons of water in 10 minutes. At this​ rate, how much water can the camel drink in 6 ​minutes?

Answers

Answer:  9 gallons

Work Shown:

(15 gallons)/(10 minutes) = (x gallons)/(6 minutes)

15/10 = x/6

15*6 = 10*x ... cross multiplication

90 = 10x

10x = 90

x = 90/10

x = 9

The camel can drink 9 gallons in 6 minutes. This is assuming that the unit rate is kept the same.

PLEASE DONT AWNSER ANYTHING RANDOM I REALLY NEED THIS AND DO YOUR OWN AWNSER
Which statements about the box plot are correct? Check all that apply.

A box and whisker plot. The number line goes from 30 to 80. The whiskers range from 34 to 76, and the box ranges from 42 to 70. A line divides the box at 46.
Fifty percent of the data values lies between 34 and 46.
Seventy-five percent of the data values lies between 42 and 70.
It is unlikely that there are any outliers.
The interquartile range is 24.
The range is 36.

Answers

Answer:

Fifty percent of the data values lies between 34 and 46.

It is unlikely that there are any outliers.

Step-by-step explanation:

drawing out this box plot and looking online for a picture of the same plot:

From the box plot:

median=46

Q1=42

Q3=70

Q3-Q1= IQR=70-42=28

max=76

min=34

Range=max-min=76-34=42

no outliers seen from boxplot

Answer:

that person is right

Step-by-step explanation:

PLEASE HELP!! MIGHT GIVE BRAINLIEST!!!!!

Graph a line with x - intercept of -2 and has a slope of 3

Answers

Answer:

The answer must be between 20 and 5000 characters

For the given piecewise function, evaluate for the specified value of x.

Answers

Answer:

g(-3) = 1

Step-by-step explanation:

The x-value -3 lies within the given interval x ≤ -3, and so the correct piecewise function is x + 4, not -4 or -1.  Evaluating x + 4 at x = -3 yields 1.

Thus, g(-3) = 1

The required value of the function g(x) at x = -3 , g(-3) is +1.

Given that,
A function is given with their domain,
g(x) = x + 4 when x≤
g(x) = 4 when -3 < x < 3
g(x) = - 1 when x ≥ 3

What are functions?

Functions are the relationship between sets of values. e g y=f(x), for every value of x there is its exists in a set of y. x is the independent variable while Y is the dependent variable.

Here, Function has been given with their respective limit in which the function is defined,
For the value of g(-3) the value of x = -3 lies in the limit x ≤ -3
So for this limit, we have a function,
g(x) = x + 4
g(-3) = - 3 + 4
g(-3) = +1

The required value of the function g(x) at x = -3 , g(-3) is +1.

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Find the value of x from the given equation.
x3 = 125/512
518
Sla
516
815

Answers

Answer:

x = 5/8

Step-by-step explanation:

x^3 = 125/512

Take the cube root of each side

x^3 ^1/3 = (125/512)^ 1/3

We know (a/b) ^1/3 = a^ 1/3  / b^1/3

x = (125) ^1/3 / (512)^ 1/3

x = 5/8

To measure achievement of third grade students, a school system randomly selects four third grade classes and tests all children in those classes. This is an example of what type of sampling?
a. systematic
b. stratified
c. cluster
d. convenience

Answers

Answer:

Cluster

Step-by-step explanation:

When observations from a large population are divided into groups, such that subjects in each of these groups are similar to one another than those in the other groups. These individual groups of observation are called clusters. In the scenario above, the random group of 4 third grade classes selected represent of cluster or group since all the subjects belong to the class grade which is to be measured and all subjects belonging to the selected cluster or group are to be measured.

Describe how to write the null and alternative hypotheses based on a claim. Provide at least one example to clarify your explanation.

Answers

Answer:

Step-by-step explanation:

The null and alternative hypothesis are usually used in hypothesis testing to present the claim being tested as give in terms of the mean or proportion :

Given that the mean score of high school students is 10 ; using a sample of 50 students, a mean of 8 was obtained ; we could want to test the claim that the mean score is less than 10.

Here; population mean, μ = 10 ; the claim is now that, μ < 10 based on what was observed about the sample.

H0 : μ = 10

H0 : μ < 10

If we wanted to test If the mean was greater than 10 ; then the sign is reversed

H0 : μ = 10

H0 : μ > 10

If we wanted to test If the score is just different from the mean score stated ; (it may be less than or greater than)

H0 : μ = 10

H0 : μ ≠ 10

There are nine squares in a 3 x 3 square grid. Four of them will be painted white, how many will be painted black?
I need good explanation, not just the answer, will we use division? Mult?

Answers

Answer:

5 squares will be painted black.

Step-by-step explanation:

There are 9 squares, and 4 of them will be painted white, so that means that the remaining squares will be painted black. 9-4=5, so 5 squares will be painted black.

Hope this helped! :)

Hey!!! Plz help the question is below in a image

Answers

Answer:

desculpa não consigo responder pq esta td inglês ou espanhol prá mim se vc me dizer como posso fazer para voltar a ser português possa te ajudar em algo

Answer:

2.72 [tex]cm^2[/tex]

Step-by-step explanation:

You first find the area of the whole rectangle.

Then you have to find the area of the circle. The area of a circle is [tex]2\pi r[/tex].

The radius is 1 so it will be 2[tex]\pi[/tex].

[tex]\pi[/tex] equals 3.14 so you have to do 3.14*2 that equals 6.28.

Finally subtract 9-6.28=2.72

Please helpppp!!!!!!!

Answers

X=180-57-57=66

Dababy sus

add the missing sequence ​

Answers

Answer:

a) 2, 6, 10, 14, 18, 22

b)60, 59, 57, 54, 50, 45

c)240, 120, 60, 30, 15, 7 1/2

Step-by-step explanation:

The answer was already there.

The question says Simplify 7log7(49)

Answers

9514 1404 393

Answer:

 14

Step-by-step explanation:

  [tex]7\log_7(49)=7\log_7(7^2)=7\cdot2=\boxed{14}[/tex]

Which similarity statement is true?

Answers

9514 1404 393

Answer:

  (a)  ΔWZY ~ ΔWXZ ~ ΔZXY

Step-by-step explanation:

In order for the similarity statement to be correct, the corresponding sides need to be listed in the same order.

A: ΔWZY lists sides in order short leg (WZ), long leg (ZY).

  ΔWXZ lists sides in order short leg (WX), long leg (XZ).

  ΔZXY lists sides in order short leg (ZX), long leg (XY).

The first similarity statement is correct.

__

You can compare this to an incorrect one, the last one, for example.

ΔYZW lists sides in order long leg (YZ), short leg (ZW).

ΔXZW lists sides in order long leg (XZ), hypotenuse (ZW). Hypotenuse and short leg are not corresponding sides, so the similarity statement is incorrect.

What's a radian?

A) The ratio between a circle's diameter and its radius
B) The distance halfway around a circle
C) The ratio between a circle's circumference and its radius
D) An angle made at the center of a circle by an arc whose length is equal to the radius of the circle

Answers

Answer:

The correct answer is d.

Find the area of a circle that has a radius of 60.4 m. Put your answer as yards squared rounded to 1 decimal.

Answers

Answer:

13707.2 yards squared

Step-by-step explanation:

meter is almost a yard

60.4 meters = 66.054 yards

area of a circle = Pi * r^2

Pi * (66.054 yards * 66.054 yards)

= 13707.1800324

Will mark BRAINLIEST :)

Answers

Area of 1 face of this cube

= s²

Because it is a square.

Answer:

s√2

Step-by-step explanation:

akakakkqkqkqakaokamqmq

PLEASE HELP ASAP! I have been working on this same subject for three days & still keep getting it wrong.

Find the area of the figure. (Sides meet at right angles.)
3m
2m
5m
2m
3m
3m
3m

Answers

Answer:

[tex]2 \times 5 = 10 \\ 3 \times 11 = 33 \\ 10 + 33 = 43 \\ 43 {m}^{2} [/tex]

hey please give brainly

he solutions to the inequality y > −3x + 2 are shaded on the graph. Which point is a solution? (0, 2) (2, 0) (1, −2) (−2, 1)

Answers

Answer:

The Answer Is Point B (2,0)

Step-by-step explanation:

first to answer gets brainiest
Which line plot displays a data set with an outlier?

Answers

Answer:

Bottom left graph

Step-by-step explanation:

The outlier will always be the number apart or greater than all of the other numbers in the graph

hence, the answer is the bottom left graph

28 es que porcentaje de 144

Answers

Answer:

19.44%

Step-by-step explanation:

28/144 × 100 = 19.44

I hope this helps

19.4 percent of 144 is 28.

What is a percentage?

The percentage means the required value out of 100.

It is calculated by dividing the required value by the total value and multiplying by 100.

The percentage change is also calculated using the same method.

In percentage change we find the difference between the values given.

Example:

Required percentage value = a

total value = b

Percentage = a/b x 100

We have,

Percentage= M

Now,

M% of 144 = 28

M/100 x 144 = 28

Solve for M.

(M/100) x 144 = 28

M/100 = 28/144

M = 28/144 x 100

M = 19.44%

Thus,

28 is 19.4 percent of 144.

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The complete question.

28 is what percent of 144.

What is the value of the expression below?
e^In 4
O A. 12
B. 3
C. 4.
D. 8
SUBMI

Answers

Answer:

C. 4

Step-by-step explanation:

ln(4) = the power of e to get 4.

and then we put e to the power of that answer, so the result must be 4.

write the greatest and least number by using the following digits with out repeating any of the digits. 2,5,1,6,3,0,8,7 ​

Answers

Answer:

87653210=highest

01235678=least

Answer:

Least number: 10235678

Greatest number: 87653210

A store has clearance items that have been marked down by 55%. They are having a sale advertising an additional 40% off Clarence items what percentage of the original price do you end up paying?

Answers

9514 1404 393

Answer:

  27%

Step-by-step explanation:

The price multiplier for the first discount is (1 -55%) = 0.45.

The price multiplier for the second discount is (1 -40%) = 0.60.

Then the price multiplier for the two discounts together is ...

  (0.45)(0.60) = 0.27

You end up paying 27% of the original price.

An organic farm has been growing an heirloom variety of summer squash. A sample of the weights of 40 summer squash revealed that the mean weight is 402.7 grams and the standard deviation 8.8 grams. What is the probability that the mean weight for a sample of 40 summer squash exceeds 405.5 grams?
a. 0.3783.
b. 0.0228.
c. 1.0000.
d. 0.5000.

Answers

Answer:

b. 0.0228

Step-by-step explanation:

We are given that

n=40

Mean,[tex]\mu=402.7 g[/tex]

Standard deviation, [tex]\sigma=8.8[/tex]g

We have to find the probability hat the mean weight for a sample of 40 summer squash exceeds 405.5 grams.

[tex]P(x>405.5)=P(\frac{x-\mu}{\frac{\sigma}{\sqrt{n}}}>\frac{405.5-402.7}{\frac{8.8}{\sqrt{40}}})[/tex]

[tex]P(x>405.5)=P(Z>\frac{2.8}{\frac{8.8}{\sqrt{40}}})[/tex]

[tex]P(x>405.5)=P(Z>2.01)[/tex]

[tex]P(x>405.5)=1-P(Z\leq 2.01)[/tex]

[tex]P(x>405.5)=1-0.977784[/tex]

[tex]P(x>405.5)=0.022216[/tex]

Hence, option b is correct.

This probability distribution shows the
typical grade distribution for a Geometry
course with 35 students.
Resou
Grade
A
B C D F
ајӘН
Frequency 5
10
15
3
Find the probability that a student earns a
grade of D or F.
p = [?]
Enter a decimal rounded to the nearest hundredth.
Eva nail

Answers

Answer:

14.29%

Step-by-step explanation:

Total observations that had grade D or F: 5

Total observations: 35

[tex]\frac{5}{35} =\frac{1}{7} =.1429[/tex]

Answer:

.14

without rounding it is .1492 , rounded to the nearest hundredth it is .14

Select the correct answer.
Solve for x.




B.

C.

D.

Answers

Answer:

C. [tex]-\frac{1}{2}[/tex]

Step-by-step explanation:

[tex]20x - 40 = 100x[/tex][tex]20x - 100x = 40[/tex][tex]- 80x = 40[/tex][tex]x = -\frac{40}{80}[/tex][tex]x = -\frac{1}{2}[/tex]

If there are sixty-four knives, forks, and
spoons on the table and each place
setting has two forks, how many places
are set?

Answers

Answer: 32 places

Step-by-step explanation:

So there are 64 forks, and 2 forks per place.

so divide 64 by 2

[tex]64 \div 2 = 32[/tex]

Answer:

16 places are set

Step-by-step explanation:

64/4= 16

A waste management company is designing a rectangular construction dumpster that will be twice as long as it is wide and must hold 10 yd3 of debris. Find the dimensions of the dumpster that will minimize its surface area.

Answers

Answer:

The dimensions are:

l = 2*1.96 = 3.92 yd

h = 5/(1.96)² = 1.30 yd

w = 1.96 yd

Step-by-step explanation:

The volume is given by:

[tex]V=l*w*h[/tex]

Where:

l is the longw the wide h the height

We know that l = 2w, so we have:

[tex]V=2w^{2}*h[/tex]

[tex]10=2w^{2}*h[/tex]

[tex]5=w^{2}*h[/tex] (2)

Now, the surface of this parallelepiped is:

[tex]S=2wh+2lh+lw[/tex]

Using l = 2w:

[tex]S=2wh+4wh+2w^{2}[/tex]

Using (2) we obtain the surface equation in terms of w.

[tex]S=2w\frac{5}{w^{2}}+4w\frac{5}{w^{2}}+2w^{2}[/tex]    

[tex]S=2\frac{5}{w}+4\frac{5}{w}+2w^{2}[/tex]

We need to take the derivative with respect to w to minimize the surface area.

[tex]S=2\frac{5}{w}+4\frac{5}{w}+2w^{2}[/tex]  

[tex]S=\frac{30}{w}+2w^{2}[/tex]

[tex]\frac{dS}{dw}=-\frac{30}{w^{2}}+4w[/tex]

Now, let's equal it to zero.

[tex]0=-\frac{30}{w^{2}}+4w[/tex]  

[tex]\frac{30}{w^{2}}=4w[/tex]              

[tex]w^{3}=\frac{30}{4}[/tex]          

[tex]w=1.96\: yd[/tex]  

So, l = 2*1.96 = 3.92 yd and h = 5/(1.96)² = 1.30 yd

Therefore, the dimensions are:

l = 2*1.96 = 3.92 yd

h = 5/(1.96)² = 1.30 yd

w = 1.96 yd

I hope it helps you!

(-1/2^5)×2^3×(3/4^2) [EVALUATE]​

Answers

Step-by-step explanation:

here's the answer to your question

a neon light flashes 5 times every 10 seconds. show that the light flashes 43200 times in a day ​

Answers

There are 86400 seconds in one day. Divide that by 10 to get the intervals of the flashes. You get 8640. Multiply that by 5 because the flashlight flashes 5 times, 8640 times in one day. The result is 43,200.

Answer: 432000

Step-by-step explanation: (Amount of seconds in a day ->) 86400÷2 (<- 5 times every 10 seconds is 1 flash every 2 seconds so yes, 2) = 43200 (<-Yay Answer-! )

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The greatest weakness in the fight against eradicating corruption is: Group of answer choices There is too much corruption to ever win. Every country must institutionalize and enforce anti-corruption laws. The fact that the Foreign Corrupt Practices Act is no longer being followed. Overseas bribes are often tax deductible. What is the value of x?