what is the standard deviation of 77, 45, 72, 56, 98, 60, 70, 89, 50, 80, 95, 70, 34, 77, 65, 70, 70, 82, 86, 86.

What percentage of the scores are within one standard deviation of the mean (±1)? Please include the range of values for this deviation and the exact values from the data set that are included in this range.

What percentage of the scores are within two standard deviations of the mean (±2)? Please include the range of values for this deviation and the exact values from the data set that are included in this range.

Does this data fit the model of a normal distribution? Why or why not?

Answers

Answer 1

Standard deviation of the numbers is 16.154.

What is Statistics?

Statistics is the discipline that concerns the collection, organization, analysis, interpretation, and presentation of data.

The given observations are

77,45,72,56,98,60,70,89,50,80,95,70,34,77,65,70,70,82,86,86

Average or mean of the data is

x=Sum of n values/ Total number of values

x=1432/20=71.6

The Standard deviation of the data is

[tex]\sigma=\sqrt{\frac{\sum(x-mean)^{2}}{n} }[/tex]

=√5218.8/20

=√260.94

=16.154

Hence, standard deviation of the numbers is 16.154.

To learn more on Statistics click:

https://brainly.com/question/29093686

#SPJ5


Related Questions

plz help me find this answer offering 10 points for a answer !!

Answers

6a and 8a 4b and 2b. hope this helps

Please help! I would triple the points

Answers

Answer:

1033.33

Step-by-step explanation:

If you take 30 percent of a number and get 310, then what is that number? In other words, you know that 30 percent of a number is 310 and you want to know what that initial number is.

To solve this problem you multiply 310 by 100 and then divide the total by 30 as follows: (310 x 100) / 30

When we put that into our calculator, we get the following answer: 1033.33

You're welcome :)

Answer:1033.33

Step-by-step explanation:  i am changing to the right answer I am not copying I just don’t want people seeing the wrong answer

in a class of 55 21 study physics 24 study geography and 23 study economics and physics. if x students study all three subjects and 2x study non of the subjects find
1 the value of x
2 the number of students that study only physics
3 number of students that study only 2 subjects
solve usind venn diagram

Answers

The total number of students who studied only two subjects is 13.

The given parameters:

Total number of students, n = 55 Number of physics students = 21Number of geography students = 24Number of economics students = 23Number of students for the 3 subjects, = xNumber of students who studied non = 2x

The number of students who studied only two subjects can be determined by applying overlapping three sets formula as shown below;

[tex]Total = n(phy) + n(geo) + n(econ) + n(none)- n(double) - 2(all \ subjects)\\\\55 = 21 + 24 + 23 + 2x-n(double) - 2(x)\\\\55 = 68- n(double)\\\\n(double) = 68-55\\\\n(double) = 13[/tex]

Thus, the total number of students who studied only two subjects is 13.

Learn more about overlapping three sets here:  https://brainly.com/question/2041029

6. Which statement about this figure is true?

Answers

what statement and about what figure??

How i can answer this question

Answers

Answer:

A. 2(x+y+1). lmk if you need any more awnsers

A high school track​ team's long jump record is 24 ft 2 1/4 in This​ year, Hal​'s best long jump is 23 ft 9 1/2 in If long jumps are measured to the nearest quarter​ inch, how much farther must hal jump to break the​ record?

Answers

24 ft 2 1/4 inches - 23 ft 9 1/2 inches = 4 3/4 inches.

4 3/4 inches would tie it, so now add 1/4 more inches:

4 3/4 + 1/4 = 5 inches.

He needs to jump 5 inches more.

Betty makes 40 cupcakes per hour to find the number of cupcakes baked in h hours use the equation f(h)=40 evaluate f(5) and explain what it means

Answers

Answer:

Step-by-step explanation:

f(h) = (40 cupcakes / hr)*h

f(5) represents the number of cupcakes baked in 5 hours:  200 cupcakes

A newspaper carrier can deliver 180 newspapers in three hours. How long would it take the newspaper carrier to deliver 120 newspapers?

Answers

Answer:

I think it's 2 hours.

Hope that helps you. x

Step-by-step explanation:

180 newspapers can be delivered in 3 hours,

60 minutes are in 1 hour.

180 divided by 3 = 60

60 x 2 = 120.

So 120 newspapers can be delivered in 2 hours.

When Deema begins her drive, she is 400 mi from home. For the first two hours, she drives on country roads at

an average rate of 25 mph. Then she drives at an average rate of 75 mph until she gets home. Draw a graph to

represent this situation. Show any calculations you need to determine the graph.

Answers

Answer:

Step-by-step explanation:

The coordinates of the graph representing the given situation are listed below

A (0 ,400)

B ( 1 ,350 )

C (2,300)

D(3,250)

 E(4, 200)

 F(5, 150)

 G(6, 100)

  H(7, 50)

  I (8, 0)

The graph attached shows the nature of the graph.

A class is putting ornaments on a Christmas tree.
One box of 30 ornaments cost $6.99. How
much does one ornament cost? (round to the
nearest cent)

Answers

Answer:

each ornament was about 5 cents

Step-by-step explanation:

Hope this helps

May I get Braineist pls

This is a function?

O True
O False

Answers

Answer:

true

Step-by-step explanation:im not really sure

1/2.5+1/5.8+1/8.11+...+1/97.100

Answers

Answer:

that's is the correct answer

Step-by-step explanation:

hope it helps

What Is The exact volume of the cone with a height of 4 and a radius of 7

Answers

Answer:

196 / 3 [tex]\pi[/tex]

Step-by-step explanation:

pi x radius x radius x height / 3

= pi x 49 x 4 / 3

= pi x 196 / 3

Write all the factors of 9 . Use commas to separate them.rtth

Answers

Answer:

1, 3, 9

Step-by-step explanation:

the nine can be divided by those three numbers and no more

Answer:

1,3,9

Step-by-step explanation:

I NEED HELP ASAP
The volume of paint used, V liters, is directly proportional to the area, A square feet, that the paint can cover. 5 liters of paint can cover a wall with an area of 75 square feet.

a) What is the constant of proportionality? Tell how you found it.

b) Write an equation relating V and A.

c) How much paint would be needed to cover an area of 180 square feet? Show your work.

Whoever answers me correctly first will get extra points after this!

Answers

Hey! I believe this is the answer you're looking for:

https://brainly.com/question/16663256

Step-by-step explanation:

The volume of paint used, V liters, is directly proportional to the area, A square feet, that the paint can cover.

This is written as:

\begin{gathered}V \propto A\\V=kA,$ where k is the constant of proportionality\end{gathered}

(a)5 liters of paint can cover a wall with an area of 75 square feet.

V=5 liters, A=75 square feet.

Substitution into V=kA

5=75k

k=5/75

\text{Constant of proportionality, k}=\dfrac{1}{15}Constant of proportionality, k=151

(b)Substitution of k=\dfrac{1}{15}k=151 into V=kA

The equation relating V and A is:

V=\frac{1}{15}AV=151A

(c)If A=180 Square feet

Volume of paint needed,

\begin{gathered}V=\frac{1}{15} X 180\\=12$ liters\end{gathered}

Simplify (x^3 + 2x^2 - x) + (4x^3 + x^2 + x)

Answers

Answer: 5x^3 + 3x^2

Step-by-step explanation:

Answer:

Step-by-step explanation:

           6x2 - 8x - 2

Simplify   ————————————

              x - 1    

STEP

3

:

Pulling out like terms

3.1     Pull out like factors :

  6x2 - 8x - 2  =   2 • (3x2 - 4x - 1)

Trying to factor by splitting the middle term

3.2     Factoring  3x2 - 4x - 1

The first term is,  3x2  its coefficient is  3 .

The middle term is,  -4x  its coefficient is  -4 .

The last term, "the constant", is  -1

Step-1 : Multiply the coefficient of the first term by the constant   3 • -1 = -3

Step-2 : Find two factors of  -3  whose sum equals the coefficient of the middle term, which is   -4 .

     -3    +    1    =    -2

     -1    +    3    =    2

Observation : No two such factors can be found !!

Conclusion : Trinomial can not be factored

Polynomial Long Division :

3.3    Polynomial Long Division

Dividing :  3x2-4x-1

                             ("Dividend")

By         :    x-1    ("Divisor")

dividend     3x2  -  4x  -  1

- divisor  * 3x1     3x2  -  3x    

remainder      -  x  -  1

- divisor  * -x0      -  x  +  1

remainder          -  2

Quotient :  3x-1

Remainder :  -2

Final result :

 2 • (3x2 - 4x - 1)

 ——————————————————

       x - 1      

See results of polynomial long division:

1. In step #03.03

I need help with this

Answers

Square + Circle = 10Triangle + Triangle = 6Triangle + Circle = 5Firstly, we will solve for triangle:Here, Triangle + Triangle = 6So, 2 Triangles = 6or, Triangle = 6 ÷ 2or, Triangle = 3So, the value of Triangle is 3.Now, let us solve for Circle:Triangle + Circle = 5We know, Triangle = 3Therefore, 3 + Circle = 5or, Circle = 5 - 3or, Circle = 2Finally, we can easily solve for Square:Square + Circle = 10or, Square + 2 = 10or, Square = 10 - 2 = 8

Answers:

Square = 8Triangle = 3Circle = 2

Hope you could get an idea from here.

Doubt clarification - use comment section.

Through the successful study of personal finance, an individual will be better prepared to calculate financial risks able to spend available assets. faced with long-term challenges. more likely to avoid high opportunity costs.

Answers

Answer:

A. better prepared to calculate financial risks

Step-by-step explanation:

Through the successful study of personal finance, an individual will be better prepared to calculate financial risks.

What is Personal Finance?

Personal finance is a broad word that encompasses money management, as well as saving for the future.  Personal finance also includes some of the following:

Budgeting, Banking,Insurance, andEstate preparation etc

A successful study of personal finance can help in various ways such as:

Assisting in increasing our income stream and cash flows. Keeping track of our expenses and spending habits.Tax preparation and careful budgeting guarantee that our hard-earned money is not wasted on needless purchases.

Learn more about personal finance here:

https://brainly.com/question/2961383

5p coins weigh approximately 3 grams
what would the weight of £5 worth of 5p coins ?
give your answer in kg

Answers

Answer:

0.3kg(300g)

Step-by-step explanation:

£1=100p

£5=500p

5p=3g

500p=x

x=500*3/5

x=300g

Step-by-step explanation:

£5 in pence is 500p

The number of 5p coins in 500p is:

500/5 = 100 (5p coins)

each 5p coin weighs 3g

therefore the £5 weighs in grams:

3x100 = 300g

To change to Kg: 300/1000 = 0.3 Kg

can someone help me with this

Answers

Answer:

A. y = 3x.

Step-by-step explanation:Relation 2 is a straight line that does not pass through the origin, so it is a partial variation.

2. A new pump is used to empty the pool in Exercise 1. The equation
W= -275(2t - 7) represents the gallons of water w that remain in
the pool t hours after pumping starts.
a. How many gallons of water are pumped out each hour?
b. How much water is in the pool at the start of pumping?
c. Suppose there are 1,000 gallons of water left in the pool. How long
has the pump been running?
d. After how many hours will the pool be empty?
e. Write an equation that is equivalent to w= -275(2t - 7). What
information does it tell you about the situation?

Answers

Answer:

a.  550 gallons/hr.

b.  1925 gallons

c.  1.268 hours

d.  3.5 hours

Step-by-step explanation:

W = -275(2t-7), where t is hours since pumping starts.  Let's rewrite this in standard line format of y = mx + b, where m is the slope and b the y-intercept (the value of y when x = 0).    In this case we'll use W and t instead of x and y.

W = -275(2t-7)

W = -550t + 1925

The 1925 figure represents the water volume when t = 0, the initial volume.  The slope of -550 is the rate at which water is being pumped out.  550 gallons/hr.

We can solve the equation for the hours required to make w=0:

W = -550t + 1925

0 =  -550t + 1925

550t = 1925

t = 3.5 hours

-

We can solve for when W = 1,000:

W = -550t + 1925

1000 = -550t + 1925

-925 = -550t

t = 1.682 hours

a.  550 gallons/hr.

b.  1925 gallons

c.  1.268 hours

d.  3.5 hours

We can also graph the function. attached.

 

I’ll give you a lot of points for this

Answers

Answer:

2. (3,4)

Step-by-step explanation:

Ok done.Thank to me :>

How do I find the scale factor‼️‼️

Answers

Bro I got no clue
..........

Answer:

Scale factor = Dimensions of the new shape ÷ Dimensions of the original shape.

Elissa got a manicure and pedicure for $40. If she wants to give a 20% tip, how much would the tip be?​

Answers

Answer:

$8.01

Step-by-step explanation:

you multiply 40 with 0.20, and then add the answer of that (8) to the original price (40). so then the answer would be 48!

if x and x/4 are a pair of supplementary angles find angles​

Answers

[tex]\text{Supplementary angles adds up to 180 degree.}\\\text{Given that the angles are x and x/4. As they are supplementary}\\\text{ they add up to 180 degrees}\\\\\\ x+\dfrac{x}{4}=180\\\\\\\dfrac{4x+x}{4}=180\\\\\\5x=720\\\\\\x=\dfrac{720}{5}\\\\\\\boxed{x=144}[/tex]

2(2c+12)=68
Using the opposite steps, inverse operations, solve for the value of the variable

Answers

[tex]\huge\boxed{Good\:evening!:)}[/tex]

2(2c+12)=68

4c+24=68

4c=68-24

4c=44

Divide both sides by 4:

c=11

[tex]\huge\boxed{Hence,\:the\:answer\:is\:11.:)}[/tex]

[tex]\huge\underline{Hope\:it\:helps!}[/tex]

[tex]\huge\sf{Good\:luck.}[/tex]

[tex]\boxed{DreamyTeenager\:here\:to\:help}[/tex]

PLEASE HELP ME IT'S DUE TODAY AND IT COULD HELP MY GRADE A LOT

Answers

Answer:

sin =5/3

tan = sin/cos= 3/5/5/3=1

Step-by-step explanation:

you haven't game me much to work with but sin= opp/adj and cos= adj/opp so there you go

-0.5x=3.6

F. -72
G. -7.2
H. 7.2
I. 72

Answers

Answer:

G

Step-by-step explanation:

3.6÷-0.5 is -7.2, so it's G

Investors buy a studio apartment for $150,000. Of this​ amount, they have a down payment of $37,500.

a. Their odwn payment is what percent of the purchase price?
b. what percent of the purchase price would a 67,500 down payment be?


a. The down payment is __?__% of the purchase price.
(Type a whole number.)

b. A 67,500 down payment would be __?__% of the purchase price.
(Type a whole number.)

Answers

Divide the down payment by the purchase price then multiply by 100 to get the percent.

A. 37,500 / 150,000 = 0.25

0.25 x 100 = 25%

B. 67,500/150,000 = 0.45

0.45 x 100 = 45%

Find three consecutive odd integers whose sum is 45

Answers

Answer:

13, 15, 17

Step-by-step explanation:

First divide 45/3=15

Then since 15 is odd, subract by 2 to get 13 and add 2 to get 17.

Finally add up 13+15+17 to get 45.

Other Questions
Work out the highest common factor (HCF) of 180 and 240 i need help on this work How did the American Revolution affect women? What is the past of the verb go? What role do you think parents have in making sure that their kids eat healthy? Do you think you eat healthy in your home? Which of the following statements about car insurance is true? In two or more complete sentences, describe the transformation(s) that take place on the parent function, f(x) = log(x), to achieve the graph of g(x) = log(-2x-4) + 1. Standardized testing has not affected student achievement.How could someone arguing to keep standardized testing in school interpret this fact?A) Standardized testing shows no benefits to student achievementB) Standardized testing has not had a negative impact on student achievement.C) Standardized test scores are more reliable than other kinds of testsD) Standardized tests measure the most important portion of education. what are the fundamental factor for local level vocation?list them and explain three of them You must write all your answers on one line: please help im sorry for the shtty picture A teacher assigns 10 questions for homework and wants to randomly pick 3 questions to be graded. Which of the following procedures would produce a simple random sample?Assign the homework questions the numbers 110. Use a random number table to select the first three numbers between 1 and 10. These represent the questions that will be graded.Assign the homework questions the numbers 0 to 9. Use a random number table to select the first three numbers between 0 and 9. These represent the questions that will be graded.Assign the homework questions the numbers 0110. Use a random number table to select the first three 2-digit numbers between 01 and 10. These represent the questions that will be graded.Assign the homework questions the numbers 09. Use a random number table to select the first three unique numbers between 0 and 9. These represent the questions that will be graded. an intense fear of heights is not considered to be a psychological disorder unless it 2. Nora's bill at a store is $125. If she leaves a 2% tip for the gate keeper,how much will the total bill be, including tip? Why there should be laws against using phones anddriving? Translate the phrase into a variable expression. Use the letter p to name thevariable. If necessary, use the asterisk (*) for multiplication and the slash(7) for divisionthe total number of peanuts divided among 4 baseball fans Alex has not been keeping his banking records up to date. On his latest bank statement, he found that he had been charged an overdraft fee for writing a bad check. In addition to his being charged a fee, which of these is another possible consequence of an overdraft?. Which sentence is an example of a complex sentence?A. Unless she arrives in the next five minutes, we must cancel theplayB. Huge, green, fluffy balls of moss are common near certainstreams.C. The principal is canceling school today, and I agree with herdecision.O D. Latin is an ancestor of many languages spoken today, includingEnglish HELP ME! I WILL GIVE BRAINLIEST "It is impossible that there will not be situations of conflict," said Angelo Bottini, Rome's archaeological superintendent. Neither the subway workers nor the archaeologists can decide whether a find should be removed, destroyed, or encased within the subway structure. According to Italy's strict conservation laws, that will be up to Bottini. Over the years, countless construction projects have been scrapped across Italy because ancient objects were unearthed there. Sometimes, developers deliberately failed to report a find and plowed through ancient treasures so that they could complete their projects. In Italy, and in Greece, too, workers and archaeologists have to preserve their history while accommodating the need for new subway lines.The superintendent must be _________.A discerningB immuneC hospitableD prestigiou