The MAD of the given set of numbers is 4.64.
What is MAD?The mean absolute deviation (MAD) is a variability metric that indicates the average distance between observations and their mean. MAD interprets the data in its original units. Larger values indicate that the data points are further apart from the mean. Lower values, on the other hand, represent data points clustering closer to it. The average absolute deviation is also known as the mean deviation.
The mean absolute deviation is defined in the same way as the standard deviation (SD). While they both measure variability, their calculations differ. Some proponents of MAD have suggested that it replace SD as the primary measure in recent years because it is a simpler concept that is more applicable in real life.
Lets find the mean of given data set:
240+ 225+ 227+ 227+ 228+ 230+ 230+ 231+ 238+ 240
= 2316
⇒ 2316/10 = 231.6
Find the distances of the mean
240 - 231.6 = 8.4
225 - 231.6 = 6.6
227 - 231.6 = 4.6
227 - 231.6 = 4.6
228 - 231.6 = 3.6
230 - 231.6 = 1.6
230 - 231.6 = 1.6
231 - 231.6 = 0.6
238 - 231.6 = 6.4
240 - 231.6 = 8.4
Add the distances
8.4+ 6.6+ 4.6 + 4.6 + 3.6 + 1.6 + 1.6 + 0.6 + 6.4 + 8.4 = 46.4
Divide the sum by the number of data points.
46.4/10 = 4.64
Thus, The Mad of the given set of numbers is 4.64.
Learn more about mean absolute deviation
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Problem 5
Each of the following statements regarding the transformation of the function
y=f(x)
is false.
State what is wrong in the statement and provide the correction that would make the statement true. For example, “The sun is a planet.” is a false statement. One possible correct answer is: “Mistake: The sun is not a planet. Correction: The sun is a star.”
Part a)
When graphing the function
y=f(x+3)
, all of the
x
values would be shifted to the right by 3 because the transformation is a shift right by 3 units.
Part b)
When graphing the function
y=−f(x)
, there is a reflection over the
y
-axis.
Part c)
When graphing the function
y=2f(x)
, all of the
y
values would be multiplied by
12
because the transformation is a vertical compression by a factor of 2.
Answer:
Part AWhen graphing the function y = f(x+3), all of the x values would be shifted to the right by 3 because the transformation is a shift right by 3 units.
Mistake: This is not a shift rightCorrection: ... all of the x values would be shifted to the left by 3 because the transformation is a shift left by 3 unitsPart BWhen graphing the function y=−f(x), there is a reflection over the y-axis
Mistake: This is not a reflection over the y-axisCorrection: ...there is a reflection over the x-axisPart CWhen graphing the function y=2f(x), all of the y-values would be multiplied by 2 because the transformation is a vertical compression by a factor of 2.
Mistake: This is not a vertical compressionCorrection: ... a horizontal compression by a factor of 2Note: "multiplied by 12" considered as typo otherwise this is to be included as correction
Answer:
the answer is A When graphing the function
y=f(x+3)
, all of the
x
values would be shifted to the right by 3 because the transformation is a shift right by 3 units.
write a linear function in slope intercept form only that corresponds with this table
Home work
Give (2) advantages and
disadvantages of modern
and traditional Kitchen
Answer:
modern kitchen=sandwich,Chinese food etc.
traditional kitchen = roti,sabji indian food etc.
one bar of candy A and two bars of candy B have 769 calories. Two bars of candy A and one bar of candy B contain 776 calories. Find the caloric content of each candy bar.
Step-by-step explanation:
Hjqjzjzj is a complete* of the following elements has the largest atomic size in the world is the difference between human rights
Answer:
We know:
A+2B=777
2A+B=789
Let's rearrange the first equation to solve for A:
A=777-2B
Now let's plug 777-2B in for A in the second equation, and solve for B:
2(777-2B)+B=789
1554-4B+B=789
1554-789=3B
765=3B
B=255
Now we can substitute 255 in for B in the first rearranged equation, and solve for A:
A=777-2(255)
A=777-510
A=267
So candy bar A has 267 calories, and candy bar B has 255
I Hope it helps
Let f(x) = 3x^2+5, g(x)=3x-4. Find the following value or expression
(F*g)(x)=
Answer:
(f οg )(x) = 27 x² -36 x + 53
Step-by-step explanation:
Explanation:-
Given the function f(x) = 3 x² +5 and g(x) = 3x-4
(f οg )(x) = f(g(x)
= f(3x-4)
= 3 ( 3x-4)² +5 ( ∵ f(x) = 3 x² +5)
= 3 ( 9 x² - 2(3x)(4)+(4)²) +5
= 3 ( 9 x² -12 x + 16) +5
= 27 x² -36 x + 48 +5
= 27 x² -36 x + 53
Final answer:-
(f οg )(x) = 27 x² -36 x + 53
A box contains 12 cereal bars. The empty box weighs 1.75 oz. The box
and the bars weigh 18.55 oz. What is the weight of each cereal bar?
Answer:
Step-by-step explanation:
Answer: the answer is 6.25
Step-by-step explanation:
What is the area of this quadrilateral?
Answer:
c
Step-by-step explanation:
Help me please I need the answer for questions 9 part A and Part B
Answer:
Part A:
c = 4 + 1.50h
c = 1 + 3h
Part B:
2 hours
$7
Step-by-step explanation:
Part A:
Number of hours = h
Cost = c
Cost for Ice Dream:
c = 4 + 1.50h
Cost for Skating Paradise:
c = 1 + 3h
Part B:
Set the equation equal to each other and solve for h:
4 + 1.50h = 1 + 3h
Collect like terms
4 - 1 = -1.50h + 3h
3 = 1.50h
Divide both sides by 1.50
3/1.5 = h
2 = h
h = 2
The cost for both locations would be equivalent at 2 hours
✔️The cost is:
4 + 1.50h = 1 + 3h
4 + 1.50(2) = 1 + 3(2)
4 + 3 = 1 + 6
7 = 7
The cost is $7
I have to turn this in at 5:00 pls help!!!
find the result when you subtract (5y+9z)to(4y-7z)
A. -y-16z
B.-y+16z
C.9y+2z
D.9y-2z
The school library is combining books from two storage units into a newly designed area for the library. The first original unit held 186 books
and the newly designed area has 307 books. Find the number of books in the second storage unit of the library.
Use the variable b for the number of books.
Answer:
221 books
Step-by-step explanation:
Write an equation of the line in slope-intercept form.
2
у
2
(2, 2)
-2
2
4 x
(0, - 2)
2
y =
l
Mrs Andrew's pays $125. For a hair cut. If she gives a 25% tip, how much will she pay
Answer:
$156.25
Step-by-step explanation:
25% of 125 is 31.25. So 125+31.25 is 156.25.
Pls help me I’ll give out brainliest please dont answer if you don’t know
Answer:
$8.65
Step-by-step explanation:
1.25+4.75+2.50=8.5
8.5+0.056(5.6%)=8.65
Help ya girl out plsss
Answer: Scalane acute
Step-by-step explanation:
Answer:
Equilateral Acute.
Step-by-step explanation:
A triangle with 3 congruent angles is an equalateral triangle and all sides are acute
PLEASE ANSWER ASAP FOR BRAINLEST WITH WORK!!!!!!!!!!!!!!!!!!!!!!
here are some screenshots to help figure out the area of the figure!
thank you in advance!
Answer:
The area is 13
Step-by-step explanation:
By using the third picture you sent I figured out the area of both the triangle (area: 3) and the square (area: 4) and subtracted that from the area of the whole figure (20) to get the area of the shape.
[tex](2y{}^{3}) {}^{2} [/tex]
answer:2y6
Ce clasă ești sa văd daca te pot ajuta
If your car gets 25 miles per gallon, how much does it cost to drive 410 miles when gasoline costs $3.40 per gallon?
The cost is $
(Simplify your answer. Round to the nearest cent as needed.)
Answer:
Step-by-step explanation:
410/25 = 16.4 gallons of gas
16.4*$3.40 = $55.76
Cruz is the editor of a magazine.
The magazine has 40 pages.
The magazine must have:
20% of the pages for adverts
1/4 of the pages for photos
the remaining pages for articles.
Work out the number of pages for articles in the magazine.
Show your working out.
Answer:
22
Step-by-step explanation:
20% * 40 = 20 / 100 * 40 = 800 / 100 = 8
1/4 * 40 = 40 / 4 = 10
So far we have use 8 + 10 = 18
There are 40 - 18 pages left
articles = 22
7+x/5=-4whats the answer
Answer:
-55
Step-by-step explanation:
7+x/5=-4
Subtract 7 from both sides
x/5 = -11
multiply both sides by 5
x = -55
The circumference of a circle is _______
A. the length of the radius
B. the distance around the circle
C. the length of the diameter
D. 270
Answer:
B. the distance around the circle
Step-by-step explanation:
To easily answer this question, take a closer look at the given answer choices.
A says, "the length of the radius." Don't let the extra words trick you! This answer choice is just describing a radius. The term, "the length of--" is just there to trick you and to make you overthink. This answer choice is not correct because a radius =/= a circumference.
C says, "the length of the diameter." This is the exact same trick in choice A. Once you ignore the term, "the length off," you see that this answer choice is just describing a diameter. This answer is also incorrect because a diameter =/= a circumference.
D just says "270." This answer choice should not be considered, as there's no numbers involved in the question. The question is just looking for the definition of a circumference. Continually, not every circle's circumference is going to be 270. For these reasons, D is also an incorrect choice.
This leaves answer choice B. After eliminating the other answers, B becomes the remaining and correct choice. "The distance around the circle," is the only and correct definition of a circumference!
Answer:
Solution :B
Know More :The length of radius is not known as circumference.
Circumference or perimeter is same.
Area of circle = πr²
Perimeter of circle = 2πr
[tex] \\ [/tex]
1/8 x a number equals 2
Answer:
The number should be 16.
Step-by-step explanation:
Answer:
16
Step-by-step explanation:
1/8 * x = 2
x = 16
Look at the graph below: First line joins ordered pairs negative 4, 3 and 2, negative 3. Second line joins negative 4, negative 3 and 2, 3. Part A shaded above first and second line. Part B shaded below first line and above second line. Part C shaded below first and second lines. Part D shaded above first line and below second line. Which part of the graph best represents the solution set to the system of inequalities y ≥ x + 1 and y + x ≤ −1? (5 points) Question 10 options: 1) Part A 2) Part B 3) Part C 4) Part D
Answer:
It's Part B
Step-by-step explanation:
Got it right!
üç basamaklı en küçük pozitif tam sayı ile Bir basamaklı en büyük negatif tam sayının toplamı kaçtır?
A)998 B)990 C)99 D)91
I WILL GIVE BRAINLIEST solve the question below
Answer:
[tex]J' = (-2,-4)[/tex]
Step-by-step explanation:
Given
The attached figure
[tex]J = (-3,-6)[/tex]
[tex]D_{o,\frac{2}{3}}(x,y)[/tex]
Required: Determine J'
The given transformation: [tex]D_{o,\frac{2}{3}}(x,y)[/tex] means that the quadrilateral is dilated by a scale factor or 2/3.
So, J' is calculated as:
[tex]J' = \frac{2}{3} * J[/tex]
[tex]J' = \frac{2}{3} * (-3,-6)[/tex]
[tex]J' = (\frac{2}{3} * -3,\frac{2}{3} * -6)[/tex]
[tex]J' = (2*-1,2*-2)[/tex]
[tex]J' = (-2,-4)[/tex]
Hence, J' = (-2,-4)
2+2
uhhh help plzzzzzz
Answer:
6
Step-by-step explanation:
4
can someone help me solve this please :))
Factor out the greatest common factor from –12a – 8a2.
Question 3 options:
A)
–4a(3 + 2a)
B)
2a(6 – 4a)
C)
–2a(6 + 4a)
D)
4a(3 – 2a)
Answer:
A -4a(3 + 2a)
Step-by-step explanation:
-12a - 8a^2) factor out a -4
-4(3a + 2a^2) factor out an a
-4a(3 + 2a)
May someone please help me out with this? Look at the image above. How do I do this? May someone help me out please
Answer:
u = 9
Step-by-step explanation:
angle c and a are congruent so take the 2 angles and turn them into an equation
u + 99 = 12u
subtract 1u from both sides, you're left with 99 = 11u
now, divide each side by 11
now you'll get the value of u which is 9 (u = 9)
since 99/11 is 9 that's the value of u.
what number goes into 105 and 90
Answer:
15
Step-by-step explanation:
Yw
Answer:
5
Step-by-step explanation: