What is the standard deviation of this data set? Use a calculator to help you.
Round your answer to the nearest tenth.
11,16, 22, 28, 29, 30, 31, 34, 37, 38, 43, 49, 56, 78,99

What Is The Standard Deviation Of This Data Set? Use A Calculator To Help You.Round Your Answer To The

Answers

Answer 1

Answer:

23.2

Step-by-step explanation:

The sample standard deviation measures the spread of a data distribution of the sample. It is usually used to estimate the population standard deviation

23.2

Answer 2

The standard deviation of the given data set, with a mean of 40.06, is approximately 23.2 (rounded to the nearest tenth).

Option B is the correct answer.

We have,

Find the mean:

Mean = (11 + 16 + 22 + 28 + 29 + 30 + 31 + 34 + 37 + 38 + 43 + 49 + 56 + 78 + 99) / 15

= 601 / 15

= 40.06

Subtract the mean and square the differences:

(11 - 40.06)² = 844.48

(16 - 40.06)² = 578.8836

(22 - 40.06)² = 326.1636

(28 - 40.06)^² = 145.4436

(29 - 40.06)² = 122.3236

(30 - 40.06)² = 101.2036

(31 - 40.06)² = 82.0836

(34 - 40.06)² = 36.7236

(37 - 40.06)² = 9.3636

(38 - 40.06)² = 4.28

(43 - 40.06)² = 8.6436

(49 - 40.06)² = 79.92

(56 - 40.06)² = 254.0836

(78 - 40.06)² = 1439.4436

(99 - 40.06)² = 3473.9236

Calculate the mean of the squared differences:

The mean of squared differences.

= 7506.9632/15

= 500.4642

Take the square root of the mean squared differences:

Standard deviation = √(500.4642)

Standard deviation ≈ 23.223

Therefore,

The standard deviation of the given data set, with a mean of 40.06, is approximately 23.2.

Learn more about standard deviations here:

https://brainly.com/question/29115611

#SPJ4


Related Questions

Find x (Type the number answer)

Answers

He’s with his other girl TvT

Answer:

18.41

Step-by-step explanation:

[tex]x^{2} = 12^{2} + 8^{2} - 2(12)(8)(cos 133)\\\\x= \sqrt{338.94} = 18.41[/tex]

Im so confused pls help

Answers

Step-by-step explanation:

[tex] f(x) \: = \: \frac{4}{5} - \frac{5}{x + 1} [/tex]

[tex]f(x) \: \: = \: \: \frac{(4)(x + 1) - 5(5)}{5x + 5} [/tex]

[tex]f(x) \: \: = \: \: \frac{4x + 4 - 25}{5x + 5} [/tex]

[tex]f(x) \: \: = \: \: \frac{4x - 21}{5x + 5} [/tex]

f(x) = g(x)

[tex] \frac{4x - 21}{5x + 5} = \frac{2}{5x + 5} [/tex]

4x - 21 = 2

x = (21 + 2)/4

x = 5.75

HELP ME PLEASE!
Complete the work to find the equation of a line that passes through point (–5, –3) and is parallel to line y – 3x = –7. Step 1: Write the equation of the given line in slope intercept form: y = 3x – 7. Step 2: Determine the slope of the parallel line: m = 3. Step 3: Substitute the slope and given point into y = mx + b to find the y-intercept of the new line. –3 = 3 (–5 ) + b 3 = –15 + b b = 12 Step 4: Write the equation of the line parallel to 3x – y = 7 that passes through point (–5, –3).

Answers

Answer:

Y=3x+12 (its the first option)

Step-by-step explanation:

I did the assignment.

The equation of the line parallel to (3x - y = 7) passes through the point (-5, -3) is y = 3x + 2 and this can be determined by using the one-point slope form.

Given :

The line passes through the point (-5, -3) and is parallel to the line (y - 3x = -7).

The following steps can be used in order to determine the equation of a line that passes through the point (-5, -3) and is parallel to the line (y - 3x = -7):

Step 1 - The one-point form of a line is used in order to determine the equation of a line that passes through the point (-5, -3) and is parallel to the line (y - 3x = -7).

Step 2 - The one-point form is given below:

[tex](y-y_1) = m (x-x_1)[/tex]

Step 3 - According to the given data, the line is parallel to the line (y = 3x - 7). So, the slope of the line is 3.

Step 4 - Now, substitute the values of slope and the point in the above expression.

[tex](y+3) = 3 (x+5)[/tex]

y = 3x + 2

For more information, refer to the link given below:

https://brainly.com/question/19300779

HELP PLEASE GET BRAINLIST!!

solve for x,
90 - 3/2x ≤ 30

Answers

Answer: x>- -40

Step-by-step explanation:

what is -2(15 ÷ 5) + 7(-2)

Answers

Answer:

-20

Step-by-step explanation:

Which relation is a function?

Answers

Answer:

Bottom right

Step-by-step explanation:

Each domain value can only have 1 range value.

A store sells toys in bulk. It sells wooden blocks for $5 a pound and plastic bricks for $10
a pound. How many pounds of wooden blocks and plastic bricks should be used to make a
A 10-pound mixture that would sell for $80?

Answers

Answer:

six plastic bricks and four wooden blocks

Step-by-step explanation:

plastic bricks=10

wooden blocks:5

lets make plastic x and wooden y

if we made an eight pound mixture of only plastic bricks, that would get us to 80, but would not be enough weight. if we substitute one x pound for two y, we would have 9 pounds and $80. if we substitute this again, we have ten pounds and $80. we added four wooden blocks, and we took two away from the 8 plastic we had, so that is 6 plastic. so we have 6x and 4y, using the variables I assigned for the blocks above.

9. a - 2a +5
pls help i’m kinda dumb

Answers

a-2a +5= -a + 5 would be the answer
Answer: -a+5
First you combine like terms
a-2a equals -a
After that you can’t combine anything else
So the equation simplified is -a+5

What is 4.9 x 10 -3 in standard form?

Answers

The answer is B! Good luck!

Answer:

0.0049

Step-by-step explanation:

I’m not sure how to do this, someone please help.

Answers

Answer:

A

Step-by-step explanation:

Answer: It is E (3, -7)

if two thirds of a number is 56, what is three-quarters of that number?

Answers

Answer:

84

Step-by-step explanation:

56/2 = 28

28 x 3 = 84

To check work: 84/3 =28

A store sells ice cream with assorted toppings. They charge $3.00 for an ice cream, plus 50 cents per ounce of toppings. If Elena’s ice cream cost $1.50 more than Jada’s ice cream, how much more did Elena’s toppings weigh?

Answers

Answer:

3 ounces more

Step-by-step explanation:

50*3 =1.50

3.00+1.50= 4.50

find the x and y intercept
y=5x-13

Answers

Answer:

X int = 13/5    Y int= -13

Step-by-step explanation:

Which of the ratios below is equivalent to 1:8? Select all that apply.
A) 16:2
B) 3:24
C) 4:12
D) 5:40
E) 7:56

Answers

Answer:

B. 3:24, D. 5:40 E.7:56

Step-by-step explanation:

3:24 = 1:8 (Dividing by 3)

5:40 = 1:8 (Dividing by 5)

7:56 = 1:8 (Dividing by 7)

The ratios that are equivalent to 1:8 are:

3:24, 5:40, and 7:56.

Options B, D, and E are the correct answer.

What is a ratio?

The ratio shows how many times one value is contained in another value.

Example:

There are 3 apples and 2 oranges in a basket.

The ratio of apples to oranges is 3:2 or 3/2.

We have,

A)

16:2

= 16/2

= 8/1

= 8:1

B)

3:24

= 3/24

= 1/8

= 1:8

C)

4:12

= 4/12

= 1/3

= 1:3

D)

5:40

= 5/40

= 1/8

= 1:8

E)

7:56

= 7/56

= 1/8

= 1:8

Thus,

3:24, 5:40, and 7:56 are equivalent to 1:8.

Learn more about ratios here:

https://brainly.com/question/2462048

#SPJ2

solve the question.

Answers

Answer: 1

[tex](\frac{x^{a+b} }{x^{c} }) ^{a-b}.(\frac{x^{b+c} }{x^{a} }) ^{b-c} .(\frac{x^{c+a} }{x^{b} })^{c-a}\\\\= \frac{x^{(a+b)(a-b)} }{x^{c(a-b)} }.\frac{x^{(b+c)(b-c)} }{x^{a(b-c)} }.\frac{x^{(c+a)(c-a)} }{x^{b(c-a)} }\\\\=\frac{x^{a^{2}-b^{2} } }{x^{ac-bc} }.\frac{x^{b^{2}-c^{2} } }{x^{ab-ac} }.\frac{x^{c^{2}-a^{2} } }{x^{bc-ab} } \\\\=\frac{x^{a^{2}-b^{2}+b^{2}-c^{2}+c^{2}-a^{2} } }{x^{ac-bc+ab-ac+bc-ab} }\\\\=\frac{x^{0} }{x^{0} }=1[/tex]

Step-by-step explanation:

Wow the person who answered above me is smart

Your cell phone plan costs $34.99 per month plus $0.15 for each text message you send or receive. You have at most $40 to spend on your cell phone bill. what is the maximum number of text messages that you can send or receive next month?

Answers

Answer:

33 texts

Step-by-step explanation:

34.99+0.15(t)=40

lets say t is number of texts

subtract 34.99 from both sides

0.15(t)=$5.01

divide 5.01 by .15

33.4

but you cant send .4 of a text

so 33 texts

Suzy ordered some games online for $19 each. She paid a total of $8 for shipping. The total cost of the purchase was $122. How many games did she buy? 7) Using the word problem above, write an equation to find the number of games Suzy bought. (Hint: Don't do any of the steps to solve it, just write the equation) Your answer​

Answers

Answer:

6

Step-by-step explanation:

122-8 shipping =114 /19=6

What is the answer to 3z−6/7−2z = 1.2/3.2 ? Please help

Answers

Answer:

= 1.23214285

Step-by-step explanation:

Answer:z=69/56
Explanation:
Step 1:collect like terms
Step 2:convert the decimals into fraction
Step 3:reduce the fraction with 5
Step 4:reduce the fraction with 2
Step 5:move the constant to the right hand side and change its sign
Step 6:add the fractions

1/4(z +3z)+ 7=−z + 1 please help with this ive been stuck

Answers

Answer:

z = -3

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

z+7=−z+1

Step 2: Add z to both sides.

z+7+z=−z+1+z

2z+7=1

Step 3: Subtract 7 from both sides.

2z+7−7=1−7

2z=−6

Step 4: Divide both sides by 2.

2z   =  −6

2      2

z=−3

Answer:

Why you delete my answer

Step-by-step explanation:

(-4/3)x -6 =26

solve for x

Answers

Answer:x =24

Step-by-step explanation: If we reverse that we will get x= 32x3/4 which is 24

Answer:

x = -24

Step-by-step explanation:

(-4/3)x -6 =26

Add 6 to both sides:

(-4/3)x = 32

(-4/3) = -1.33333333

divide both sides by -1.33333333

x = -24

Substitute:

(-4/3)(-24) -6 =26

32 - 6 = 26

26 = 26

x = -24

I need help on this one

Answers

Answer:

A

Step-by-step explanation:

(-2,11) (4,-7) —> y2-y1/x2-x1= m. Then to find b take (4,-7) and plug those numbers into y=Mx+b

When Kim works 40 hours in a week, she earns $560. If she works only 35 hours, how much should she expect to earn?

Answers

Answer:

$490

Step-by-step explanation:

$560 divided by 40 is $14 an hour and 14 times 35 is 490, so $490.

Answer:

£490

Step-by-step explanation:

So you do 560 divided by 40, which is 14 then you × 35 by 40 =£490.

URGENT Find the base angles of the figure below.

Answers

Answer:

25°

Step-by-step explanation:

Since AB = AC then the triangle is isosceles.

Thus the 2 base angles are congruent, that is

base angle = [tex]\frac{180-130}{2}[/tex] = [tex]\frac{50}{2}[/tex] = 25°

Answer:

D. 25° hope this helps

Step-by-step explanation:

PLS HELP ASAP

WILL MARK BRAINLIEST

Answers

Answer:

the answer would be clld i am pretty sure yeah hopefully it is right and yeah

Step-by-step explanation:

How many modes, if any, does the group of data have?
Kate, Tim, John, John, Angela, Tim, Sue 1 mode 2 modes no mode 3 modes

Answers

The number of modes in the dataset is 1. The dataset is unimodal. The correct option is therefore;

1 mode

What is a unimodal data?

A unimodal data is a set of data that has only one mode. The mode is a measure of central tendency.

The data in the question can be presented as follows;

Kate, Tim, John, John, Angelam, Tim, Sue

The frequency of each of the data is therefore;

Kate; 1, Tim; 1, John; 2, Angela; 1, Tim; 1, Sue; 1

The mode of a dataset, is the value that has the highest frequency, or that appears the most in the dataset.

The data that has the highest frequency is John, the mode of the dataset is therefore, John, which has a frequency of 1

The dataset, therefore, has only 1 mode.

Learn more on the measures of central tendency, mode median, and mean, of a dataset here: https://brainly.com/question/24994390

#SPJ1

Determine if the equations are parallel, perpendicular or neither. -9y=-3x+18 and 2x-6y=30

Answers

Answer:

The answer is They are parallel

Step-by-step explanation:

They have the same slope but different y-intercepts

y = 1/3x - 2

y = 1/3x - 30

pls mark me as brainliest

Answer: Parallel

Step-by-step explanation: They never cross therefore making the two equatons parallel lines

4. On the day Alex was born, his father invested $5000 in an account with a 1.2% annual growth rate.
Answer the questions below.
(a) Write a function, A(t), that represents the value
of this investment t years after Alex's birth.
(b) Use your equation to determine how much the
investment will be worth when Alexander turns
21

Answers

Answer and Step-by-step explanation:

A)    A(t) = 5000(1 + 0.012)t

B)    A(t) = 106260

A) 5000 is the initial amount, 1 + 0.012 is the interest rate, and t represents the years.

B) When we plug 21 into the equation,  we get 106260.

I hope this helps!

Model 3+ (-4) on the number line

Answers

Answer:

-1

Step-by-step explanation:

If u add 3 whole numbers to a negative number 4 then it'll equal -1. Think of it like 4-3 but add the negative sign at the begining

Answer:

-1

Step-by-step explanation:

Simplify: 3 - 43 - 4 = -1Mark -1 on the number line

I hope this helps!

A person’s weekly pay is directly proportional to the number of hours worked. Shawn’s pay is $123.00for 20 hours of work. Find the amount of pay for 31 hours of work. ONLY NUMERICAL VALUE

Answers

Answer:

$190.65 for 31 hours

Step-by-step explanation:

P= ha

123=20a

123/20=a

6.15=a

P=6.15h

P= 6.15(31)

p=190.65

River needs to buy a shade for a window in his house. He measured the width of the window as 27 inches. The actual measurement is 24 inches. What is rivers percent error?

Answers

Answer:

12.5%

Step-by-step explanation:

Actual measurement of the window = 24 inches

Measured measurement of the window = 27 inches

We need to find the Rivers percent error. It can be calculated as follows :

% = (|actual value-measured value|)/actual value × 100

[tex]\%=\dfrac{27-24}{24}\times 100\\\\\%=12.5\%[/tex]

So, River's percent error is 12.5%.

Other Questions
Which choices indicate the religious groups that settled in the New England Colonies?A)MethodistsB)MormonsC)PilgrimsD)PuritansE)Quakers pls help!! will give brainlyhow to say in spanish:I make my bed and clean the bookshelf. 7/2x+1/2x=6+5/2x pls help FREE 100 POINT GIVEAWAY PLS READ DOWN BELOW TO ENTER(YOU CAN ENTER IN THE COMMENTS TOO) FINAL GIVEAWAY OF THE DAY next giveaway 11/25/2020I'm going to be doing two random question (you can only answer each once) and ill post the giveaway so you can get your points- if the answer box is full then u can answer in the comment section too this time you must get both question right;)1. Unjumble this word KARRDAVA (yes, this is a basic English word most should know abt) hints on the word will cost u 10 points2. How many volts were in the first lightbulb A recipe calls for cup of flour to make 8 servings. How many cups of flour are needed to make 20 servings? I need help with this problem a/3 + 5a/12 = 9/4 CAREER ESSENTIALSChoose the correct answer.1)Which of these is not a standard rule for writing a good resume?a.You can stretch the truth on your resume in order to get the interview.b.Lead with your best and leave out the rest.c. Keep your resume to one page in length.d. Show the employer the skills he or she wants to see. Discuss the advantages and disadvantages of artificial intelligence ?50word Rectangle LMNO is rotated 90 clockwise around the origin to create rectangle L'M'N'O'. Which statement would best describe the relationship between points N and N'? They are equidistant from origin. They are midpoints of segment ON and segment O prime N prime. They are equidistant from point O. They are midpoints of segment LN and segment L prime N prime. Your university is hosting an interdisciplinary conference entitled "Contemporary Perspectives on Evolution." Two leading psychologists have been invited to debate the effects of nature and nurture on human behavior. They would most likely reach the consensus that these two entities Select one: a. Maintain distinct and equal functions. b. Are not mutually exclusive. c. Compete to influence behavior. d. Have a negative correlation. Calculate the average speed of a train thatcompleted a 525 km trip in 4.7 h. Roundyour answer to the nearest whole number. President Wilson based the idea for the League of Nations on his strong belief in promoting economic growth and development. protecting the rights of all nations. facilitating free-trade agreements. encouraging nations to use war to solve disputes. 1(x-31)= 5(2+5)vvvvvb $24,000 for new Honda, 2.75% interest rate for 4 years. What is the monthly payment? ( Explanation needed) Solve the equation -11 If y represents the cost, in dollars, and t is the number of pounds of tomatoes, which equation correctly identifies the relationship between the cost and the number of pounds of tomatoes?y = 3.60tt = 3.60yy = 18tt = 18y District Writing Assignment 2 Whar is the square root of 9604? 1) Using the data in this graph, predict whether the Union or Confederacy will have a larger army.Explain how you arrived at this prediction. why cake is not healthy food?