The mean of the following data is 509.

{419,450,462,499,520,521,589,612}

What is the mean absolute deviation for the data set?

Enter your answer as a number rounded to the nearest tenth, like this: 42.5

Answers

Answer 1

If the mean value of the data set is 509. Then the mean absolute deviation (MAD) for the data set will be 51.5.

What is the mean absolute deviation?

It is the average distance between each data point and the mean.

The mean of the following data is 509.

{419, 450, 462, 499, 520, 521, 589, 612}

Then the mean absolute deviation (MAD) for the data set will be

[tex]\rm MAD =\dfrac{1}{n}\sum_{i=1}^{n}\left|x_i - \mu \right|[/tex]

We have

μ = 509

n = 8

Then

[tex]\rm MAD =\dfrac{1}{8} \times (|419 - 509| + |450- 509| + ..... + |612 - 509|) \\\\MAD = 51.5[/tex]

More about the mean absolute deviation link is given below.

https://brainly.com/question/10258446

#SPJ1


Related Questions

Zahara asked the students in her class their gymnastic scores and recorded the scores in the table shown below:

Gymnastic Scores


Score Number of Students
0 1
1 1
2 2
3 6
4 4
5 3
6 2


Based on the table, what is the mean gymnastic score?

Answers

Answer:

It would be 3.5

Step-by-step explanation:
1+1+2+6+4+3+2

so the mean is 3.5

2x+4 (2x+7)= 3(2x+4)
solve x​

Answers

given:

[tex]2x + 4(2 x + 7) = 3(2x + 4)[/tex]

to find:

solve the ( x ).

solution:

[tex]2x + 4(2x + 7) = 3(2x + 4)[/tex]

[tex]2x + 8x + 28 = 6x + 12[/tex]

[tex]10x + 28 = 6x + 12[/tex]

[tex]4x + 28 = 12[/tex]

[tex]4x = - 16[/tex]

[tex]x = - 4[/tex]

2x+4(2x+7)= 3(2x+4)

2x+8x+28=6x + 12

10x+28=6x + 12

4x+28=12

4x= -16

x=-4

30 POINTS!!!!! HELP QUICK
Find the area of the shaded region.

Use 3.14 for pi.

Answers

The area of the shaded region is 994.74 square in if the area of the circle is 1384.74 square in and the area of the triangle is 390 square in.

What is a circle?

It is described as a set of points, where each point is at the same distance from a fixed point (called the center of a circle)

As we know, the area of the circle is given by:

A = πr²

r = 21 in

A = 3.14(21)² = 1384.74 square in

Area of the triangle:

a = (39)(20)/2 = 390 square in

The area of the shaded region = 1384.74 - 390 = 994.74 square in

Thus, the area of the shaded region is 994.74 square in if the area of the circle is 1384.74 square in and the area of the triangle is 390 square in.

Learn more about circle here:

brainly.com/question/11833983

#SPJ1

Help me please asap!!! NOTE : PLEASE LOOK AT THE 3 PICTURES & I NEED A EXPLANATION

Answers

Step-by-step explanation:

3/5 - 1/3 = 4 /15

5/6 - 2/3 = 5/6 - 4/6 = 1/6

7/9 - 2/3 = 7/9 - 6/9 = 1/9

5/8 - 1/6 = (15 - 4) /24 = 11/24

(All the above ones I have taken common factor and subtracted them)

5 x 9/10 = 45/10 = 9/2 (simplified)

2/7 x 3 = 6/7

3 x 2/15 = 6/15

4x 2/6 = 8/6 = 4/3 (simplified form)

Hope this helps!!!

Emma enjoys flying kites. her red kite has a maximum altitude of 117.46 meters, and her black kite has a maximum altitude of 362.26 feet. one foot is the same as 0.3048 meters. which kite has a higher maximum altitude, and how many feet higher is it? a. the black kite has a maximum altitude 74.62 feet higher than the red kite. b. the black kite has a maximum altitude 33.66 feet higher than the red kite. c. the red kite has a maximum altitude 23.11 feet higher than the black kite. d. the red kite has a maximum altitude 7.04 feet higher than the black kite.

Answers

The red kite has a maximum altitude 23.11 feet higher than the black kite.

What is an equation?

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

1 feet = 0.3048 meters, hence:

117.46 m =  117.46 m * 1 ft per 0.3048 meter = 385.37 feet

Difference in height = 385.37 feet - 362.26 feet = 23.11 feet

The red kite has a maximum altitude 23.11 feet higher than the black kite.

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

#SPJ4

write the ratio in the simplest form 40kg : 480g​

Answers

Answer: 1kg : 12g

Step-by-step explanation: Ratio in the simplest form is to divide both numbers by the greatest factor.

40 divided by 40 is 1

480 divided by 40 is 12

The answer is 1 kg : 12g

ANSWER FAST, WILL MARK!!!


Answers

Answer:

(2, 3)

Step-by-step explanation:

The solution of two equations on a graph is where they intersect. In this case (2, 3) is the answer.

Answer:

(x,y) = (2,3) so C?

Step-by-step explanation:

=> y = x/2+2

=> y = x + 1

from that info, you can tell y = y, meaning x/2 + 2 = x+1

solving:

=> x/2 + 2 = x + 1

=> 1/2x +2 = x + 1

=> -x             -x

=> - 1/2x + 2 = 1

=> -2                -2

=> -1/2x = -1

=> * 2/-1   * 2/-1

=> x = 2

solve using substitution now:

(let's plug it in to the easiest y = statement)

=> y = x+1

=> y = 2 +1

=> y = 3

(2,3) is your answer

Find the maximum value on (0, infinity) for f(x)=7x-2xlnx

Answers

f'(x)>0 for all x>0. Therefore f(x) is strictly increasing on the inverval (0,∞).

How to obtain the maximum value of a function?

To find the maximum of a continuous and twice differentiable function f(x), we can firstly differentiate it with respect to x and equating it to 0 will give us critical points.

f(x) = max{0,x} then f(x)=0 if x<0 and f(x)=x if x≥0.

f(x)=7x-2xlnx

When x tends to -∞, f is the constant function zero, therefore limit n tends to infinity f(x) = 0.

When x tends to ∞, f(x)=x and x grows indefinitely. Thus limit n tends to infinity f(x) = infinity.

f is differentiable if x≠0. If x>0, f'(x)=1 (the derivative of f(x) = x and if x<0, f'(0)=0 (the derivative of the constant zero).

In x=0, the right-hand derivative is 1, but the left-hand derivative is 0, hence f'(0) does not exist,

f'(x)>0 for all x>0. Therefore f(x) is strictly increasing on the inverval (0,∞).

Learn more about maxima of a function here:

https://brainly.com/question/13333267

#SPJ4

The diameter of a circle is 12 centimeters. What is the circle's area?

Answers

BEST ANSWER :

CIRCLE

solve for area

A = 113.1 cm^2

d diameter = 12 cm.

Answer:

Area of circle = π r^2

Step-by-step explanation:

Diameter = 12
Radius = 12/2
           = 6
Area =  π  x 6^2
        =  π  x 36
        = 113.04

therefore the area of the circle is 113.04

Need help!
Y=-2x^2-4x+6

Answers

Answer: (1, 0) , (-3, 0)

Step-by-step explanation:

I used an app. T-e-e-h-e-e

Select the correct answer from each drop-down menu. The table below represents the function f, and the following graph represents the function g. x -6 -5 -4 -3 -2 -1 0 1 f(x) 8 -2 -8 -10 -8 -2 8 22 Complete the following statements. The functions f and g have . The y-intercept of f is the y-intercept of g. Over the interval [-6, -3], the average rate of change of f is the average rate of change of g.

Answers

Answer:

Complete the following statements.

The functions f and g have the same axis of symmetry.

The y-intercept of f is greater than the y-intercept of g.

Over the interval [-6, -3], the average rate of change of f is less than the average rate of change of g.

Answer:

First blank: The same axis of symmetry

Second blank: Greater than

Third blank: Less than

Step-by-step explanation:

PLATO

Please mark Brainliest <( ¨ )

find the volume pleaseeeee

Answers

I believe it’s 1,080 if you had to multiply 6 x 180
180 cubic inches.
Volume = length * width * height
= 10 * 3 * 6
= 180 cubic inches

The temperature was 6° C.
By how much has it fallen if it is now -5° C?

Answers

Answer:

11 °C

Step-by-step explanation:

Initial temperature = 6 °CFinal temperature = - 5°CChange in temperature

= 6 - (-5)

= 6 + 5

= 11 °C

Hope it helps you in your learning process.

Answer:

The temperature has fallen by 11° C.

Step-by-step explanation:

6° C - (-5° C) = 11° C.

I NEED HELP! ASAP, THIS IS SO HARD AND MY BRAIN HURTS, IF U HELP ME WITH OTHER QUESTIONS LIKE THIS ILL GIVE U 50+ POINTS

Answers

Answer:

24.3

Step-by-step explanation:

We need to follow the order of operations PEMDAS:

ParenthesesExponentsMultiplication and Division (from left to right)Addition and Subtraction (from left to right)

Carry out the operation in the parentheses first:

   3³ + 14.7 ÷ 7 - (1.2 × 4)

3³ + 14.7 ÷ 7 - 4.8

Now the exponent:

⇒ 3³ + 14.7 ÷ 7 - 4.8

⇒ (3 × 3 × 3) + 14.7 ÷ 7 - 4.8

⇒ 27 + 14.7 ÷ 7 - 4.8

Now, the division (there is no multiplication):

27 + 14.7 ÷ 7 - 4.8

27 + 2.1 - 4.8

Finally, carry out the addition and subtraction (from left to right)

⇒ 27 + 2.1 - 4.8

⇒ 29.1 - 4.8

⇒ 24.3

Which of the following fall between 12 and 13?

Answers

I don’t see any answer choices so I would think 12.5

solve the equation 3x^2-x-3=0 to the nearest tenth

Answers

Answer:

You use the quadartic foruala for this problem your fanial anwers is

x=1 + or - radical 37 / 6.

1+ radical 37 over 6 =1.180460422

To the nearest tenth =1.2

1-radical 37 over 6= -0.8471270884

To the nearest tenth=-0.8

Review the steps of the proof of the identity
At which step was an error made?
sin (A-3) - COSA.
= A.
step 1
step 2
3п
sin
step 3
step 4
Step 1: = sinAcos
3 п
2
-
COSAsin
n ()
Step 2: = (sinA)(0) + COSA( - 1)
Step 3: = (sinA)(0) + (1) (COSA)
Step 4: = 0 + COSA
Step 5: Cos A

Answers

Answer:

step 2

and then step 3 : the error neutralized the error of step 2

Step-by-step explanation:

sin(a + b) = sin(a)cos(b) + cos(a)sin(b)

and because

sin(-b) = -sin(b)

cos(-b) = cos(b)

we have

sin(a - b) = sin(a)cos(-b) + cos(a)sin(-b) =

= sin(a)cos(b) - cos(a)sin(b)

3pi/2 = 270° or -90°.

sin(3pi/2) = sin(270) = sin(-90) = -1

that means, it is the full radius straight down from the center of the circle.

cos(3pi/2) = cos(270) = cos(-90) = cos(90) = 0

so, step 1 is correct :

sin(A - 3pi/2) = sin(A)cos(3pi/2) - cos(A)sin(3pi/2) =

= sin(A)×0 - cos(A)×(-1) (correct step 2)

but as we see, the provided step 2 is incorrect.

it should have been the indicated

sin(A)×0 - cos(A)×(-1)

and NOT the provided

sin(A)×0 + cos(A)×(-1)

step 3 based on the erroneous step 2 should then have been

sin(A)×0 - (1)cos(A)

but instead another error with the sign was made that neutralized the error of step 2 and we got after this second mistake by pure chance the overall correct step 3

sin(A)×0 + (1)cos(A)

so, again, the first error was made in step 2.

but technically, there was also a consecutive error made in step 3 to bring everything back to the correct approach.


i don’t understand how to find x to solve.

Answers

Answer:

X + 3

Step-by-step explanation:

There is no definite working. The first container is what I call the base because everything is a little above the first container, X. They are basically asking you what is the total of the four jars bigger than X. In other words how many steps more to climb before the top floor while you are on the first step. So then you add the other numbers like 0.5 etc which will give you X +3. Hope it helps.

Can you please help me with 12 please? I will give an brainlist

Answers

Answer:

[tex]x+(\frac{1}{2} x + 12) =[/tex] number of postcards Simone has now

Step-by-step explanation:

x = the number of postcards in Simone's collection

Simone bought 12 more than half the number of postcards in her collection.

So Simone bought half her collection ( [tex]\frac{1}{2} *x = \frac{1}{2} x[/tex] ) plus 12 more postcards.

[tex](\frac{1}{2}x +12)[/tex] = number of postcards Simone bought

Write an expression to show how many pstcards she has now.

[tex]x+(\frac{1}{2} x + 12) =[/tex] number of postcards Simone has now

Let she has p no of postcards before .

She bought 12 more than the half of p

p/2+12

Currently she has

p+p/2+123p/2+12(3p+24)/2 postcards

I need help with writing the number as a decimal.
The question is
Two hundred thirty eight and forty-nine thousandths

Answers

Answer: 0.23849

Step-by-step explanation:

0.23849

2 is tenth

3 is hundredth

8 is thousandth

4 is ten thousandth

9 is hundred thousandth

1/5 x 1/5 x 1/5 x 1/5

Answers

I believe the answer to be 0.0016

HELP ASAP. Worth 10 points

Judy studied for 7/12 of an hour, and her sister studied for 2/3 of an hour. About how much time did they spend studying altogether?
They studied for half an hour.
They studied for an hour.
They studied for a little less than an hour.
They studied for a little more than an hour.

Answers

Answer:

They studied for a little more than an hour?

Step-by-step explanation:

7/12 of 60 Mins is 35 mins and 2/3 is 40 mins 40+35=75 mins

which is a little more than an hour, 15 mins more to be precise.

This figure is divided into triangles. What fraction of the figure is each triangle?

Answers

Answer:

a) 1/8

Step-by-step explanation:

There are 8 triangle in that shape. So, the fraction will be 1/8. Hence, option (a) is the correct answer.

The answer is 1/8 because there is 8 triangles

least to greatest:
1.11, 1 1/10, the square root of 3, 1.73, 1 2/5

Answers

Answer:

least to greatest:

1 1/10, 1.11, 1 2/5, 1.73, the square root of 3

Step-by-step explanation:

1 1/10 = 1.10

1.11 = 1.11

1 2/5 = 1.4

1.73 = 1.73

the square root of 3 is approximately 1.732

how much larger is 8 x 10^8 than 2 x 10^5

Answers

Answer:

799800000 larger

Step-by-step explanation:

8 × (10 × 8) = 8000000002 × (10 × 5) = 200000

So . . Subtract

800000000 - 200000 = 799800000

Answer: 799800000

Step-by-step explanation: For 8 x 10^8, do 10 x 10 x 10  10 x 10 x 10  10 x 10 to get 100,000,000 and x 8 is 800,000,000

For 2 x 10^5  do 10^5 ( 10 x 10 x 10 x 10 x 10) which is 100,000 and then x 2 is 200,000

Then subtract.

800,000,000 - 200,000 is 799800000

A die is being rolled. Find the probability of rolling less than a 3.​

Answers

Answer:  2/6

Step-by-step explanation:

Probability is nothing but the

number of favourable outcomes / number of total outcomes

The radius of a circle with area A is approximately $\sqrt{\frac{A}{3}}$ . The area of a circular mouse pad is 48 square inches. Estimate its radius to the nearest tenth

Answers

The radius of the circular mouse pad is 3.91 inches if the area of a circular mouse pad is 48 square inches.

What is a circle?

It is described as a set of points, where each point is at the same distance from a fixed point (called the center of a circle)

We have:

The area of the circular mouse pad = 48 square inches

The area of the circle:

[tex]\rm A = \pi r^2[/tex]

[tex]\rm 48 = \pi (r)^2[/tex]

Take π = 3.14

r = 3.909 inches ≈ 3.91 inches

Thus, the radius of the circular mouse pad is 3.91 inches if the area of a circular mouse pad is 48 square inches.

Learn more about circle here:

brainly.com/question/11833983

#SPJ1

The two expressions below have the same value when rounded to the nearest hundredth. log subscript 5 baseline b. log subscript 9 baseline 48 what is the approximate value of log b to the nearest hundredth? 0.93 1.23 9.16 65.53

Answers

The value of log b to the nearest hundredth is 1.23. The correct option is the second option - 1.23

Evaluating logarithm

From the question, we are to determine the value of log b to the nearest hundredth

From the given information

[tex]log_{5}b = log_{9}48[/tex]

But,

[tex]log_{9}48 =1.76186[/tex]

∴ [tex]log_{5}b =1.76186[/tex]

By one of the laws of logarithm

∴ [tex]b =5^{1.76186}[/tex]

b = 17.0407

Then,

log b = log(17.0407)

= 1.2315

∴ log b ≅ 1.23

Hence, the value of log b to the nearest hundredth is 1.23. The correct option is the second option - 1.23

Learn more on Evaluating logarithms here: https://brainly.com/question/237323

#SPJ4

Answer:

The answer is 1.23

Step-by-step explanation:

Trust me I took the edge quiz 2022

A month of the year is chosen at random. What is the probability that the month starts with the letter J or the letter M

Answers

Answer:

hope it's helpfull...... ;)

• A. All real numbers
• B. All real numbers except 2
• C. All real numbers except -6
• D. All real numbers except -6 and 2

Answers

Answer:

Option C

Step-by-step explanation:

you cancel the whole parentheses.

So you know, x+6 can't equal to 0.

that's why there is a choice that is all real numbers but not -6.

Answer:

A. All real numbers

Step-by-step explanation:

Given

(x - 2)(x + 6)/7(x + 6) = (x - 2)/7

On cross multiplying,

(x - 2)(x + 6)(7) = (x - 2)(x + 6)(7)LHS = RHSThis means on applying any value for x, both sides will be equalHence, the correct option is A
Other Questions
As a coach, what do you try to do to help the kids? Encourage them; make it not seem like its the end of the world. I tell them everybody strikes out. I tell them that they pay major league baseball players millions of dollars to strike out. Its just part of the game. You have to encourage them to swing, too. Its a lot easier just to watch the ball go by. Which statement would Coach Thompson most likely agree with? Its better to try and fail than not to have tried at all. Winning is the most important thing. Nice guys finish last. There is no I in team. What is the npv for a project whose cost of capital is 15 percent and initial after-tax cost is $5,000,000 and is expected to provide after-tax operating cash inflows of $1,800,000 in year 1, $1,900,000 in year 2, $1,700,000 in year 3, and $1,300,000 in year 4?. Which part of a financial aid letter shows what you will have to payafterdeducting all gift aid? A. Expected family contribution B. Total cost of attendanceC. Net worth D. Net costSUBMIT Joe filled a 10-cup watering can with water. He then poured some of the water on his tomato plants.How can Joe find out how much water he used for his tomato plants? Today, continental glaciers are limited to Antarctica and ________.Group of answer choicesGreenlandCanadaAlaskaSiberia The narrator, Nick, interrupts the narrative to provide Gatsby's true backstorymainly becauseA. he wants to share the information that the young New York reporter discoveredduring his investigationB. he wishes to set the record straight about Gatsby's identity in order to show that therumors about him are falseO C. he wants the reader to sympathize with Gatsby by revealing how he worked his wayup out of povertyD. he tells the story to fill a break in the action, as he hasn't seen or heard from Gatsbyin several weeks Can you make a square triangle with 3 triangles and 2 squares What is the value of x given the following image? all the living and nonliving things in an specific area what was the issue with the russian soldiers in ww1 Q: Explain the shape of the I-V graph of the filament lamp? (!!!PLEASE ANSWER FAST!!!) (!!!15 POINTS!!!)The trade-off for working long hours, tough shifts, and handling tragedy with grace is that many healthcare jobs are some of the ____________ jobs out there.A. Highest payingB. Most highly respectedC. Most famousD. Most stressful(Career) Please help I need help thank you so much Easy Middle school math not high school. I have been absent for the past 2 days at school and they were talking about range, mode, median, quartile, and I think that is it. It would really help if you guys can help me do all of this work :) The pictures are the ones that I have been stuck on. Will give brainlist mobob LOL What is the most equitable tax policy and why? Which of the following statements is true about the number 30/2?A. It is contained in the set of natural numbers, whole numbers, integers, and rational numbers, but it is not contained in the set of irrational numbers.B. It is contained in the set of irrational numbers and rational numbers, but it is not contained in the set of natural numbers or whole numbers.C. It is contained in the set of rational numbers, but it is not contained in the set of natural numbers, whole numbers, integers, or irrational numbers.D. It is contained in the set of whole numbers and rational numbers, but it is not contained in the set of irrational numbers or integers. The "brightness" or tallness of an electromagnetic wave is its:A) AmplitudeB) WavelengthC) Frequency Which factor is measured to determine the winner of the shot-put competition?A. TimeB. SpeedC. HeightD. Distance A client has thoughts that they cannot exercise on their own, that they look silly doing it, and that other people are watching them. they believe these thoughts to be true. what is occurring I need help with these two trigonometry problems.Find each measurement indicated. Round your answers to the nearest tenth.