The mean absolute deviation is 46,54,43,57,50,62,78,42

Answers

Answer 1
8.75 hope this helps
Answer 2

The mean absolute deviation (MAD) of the given set of numbers is 8.75.

What is the mean absolute deviation (MAD)?

The mean absolute deviation (MAD) of a group of data points is a statistical metric used to evaluate its dispersion or variability. It indicates how far off the data values are from the mean (average) of the data collection.

Let's calculate the MAD for the given set of numbers: 46, 54, 43, 57, 50, 62, 78, 42.

Calculate the mean:

Mean = (46 + 54 + 43 + 57 + 50 + 62 + 78 + 42) / 8 = 432 / 8 = 54

Find the absolute difference between each number and the mean:

|46 - 54| = 8

|54 - 54| = 0

|43 - 54| = 11

|57 - 54| = 3

|50 - 54| = 4

|62 - 54| = 8

|78 - 54| = 24

|42 - 54| = 12

Calculate the average of these absolute differences:

MAD = (8 + 0 + 11 + 3 + 4 + 8 + 24 + 12) / 8 = 70 / 8 = 8.75

Therefore, the mean absolute deviation (MAD) of the given set of numbers is 8.75.

Learn more about mean absolute deviation here:

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Related Questions


What is the appropriate equation used that would solve for x

Answers

Answer:

E) 6x - 10 = 4x + 20

Step-by-step explanation:

In this type of picture, the opposite angles are congruent (they equal the same)

So the right equation would be 6x - 10 = 4x + 20, or E

Rectangle A and B have the same Area. Rectangle A has a length of 7m and a width of 4m. Rectangle B has a width of 10m. What is the perimeter of Rectangle B? *

Answers

Answer:

P = 25.6 feet

Step-by-step explanation:

Given that,

Rectangle A and B have the same Area.

The area of a rectangle is given by :

A = lb

[tex]l_Ab_A=l_Bb_B[/tex]

We have,

[tex]l_A=7\ m, b_A=4\ m, b_B=10\ m[/tex]

So,

[tex]l_B=\dfrac{l_Ab_A}{l_B}\\\\l_B=\dfrac{7\times 4}{10}\\\\l_B=2.8\ m[/tex]

The perimeter of rectangle B,

[tex]P=2(l_B+b_B)\\\\=2(2.8+10)\\\\=25.6\ ft[/tex]

So, the perimeter of rectangle B is equal to 25.6 feet.

6. Find both solutions by factoring
): 3x^2 + 10x + 7 = 0

Answers

both solutions:
x = -1, -7/3

NEED THE ANSWER PLEASE

Answers

Answer:

d. 89°

Step-by-step explanation:

The given measure of the angles formed are;

m∠AED = 48°, m[tex]\widehat{AG}[/tex] = 175°

According to circle theorem, the angle formed by a chord and a tangent of a circle is given by half of the measure of the arc intercepted by the chord in the direction of the angle;

Therefore;

m∠AED = (1/2) × m[tex]\widehat{ABE}[/tex]  = 48°

∴ m[tex]\widehat{ABE}[/tex] = 2 × 48° = 96°

m∠AEF = (1/2) × m[tex]\widehat{AGE}[/tex]

m[tex]\widehat{ABE}[/tex] + m[tex]\widehat{AGE}[/tex] = 360° (angle round a circle)

∴ m[tex]\widehat{AGE}[/tex] = 360° - m[tex]\widehat{ABE}[/tex] = 360° - 96° = 264°

m[tex]\widehat{AGE}[/tex] = m[tex]\widehat{AG}[/tex] + m[tex]\widehat{EG}[/tex]

∴ m[tex]\widehat{EG}[/tex] = m[tex]\widehat{AGE}[/tex] - m[tex]\widehat{AG}[/tex] = 264° - 175° = 89°

m[tex]\widehat{EG}[/tex] = 89°.

I'LL GIVE BRAINLIEST TO WHOEVER ANSWERS FIRST!! NO RANDOM LINKS.

Answers

Answer:

B, C, D

Step-by-step explanation:

9x4=36 Yes

12x3=36 Yes

6x6=36 Yes

9x9=81 No

8x4=32 No

TEXAS Test Prep
Which equation represents the fraction of beads that are green or yellow?

⚫⚪⚫⚫⚫⚫⚫⚫

A. 1/2 + 1/4 = 3/4
B. 1/4 + 1/8 = 3/8
C. 1/2 + 1/8 = 5/8
D. 3/4 + 2/8 = 1​

Answers

Answer:

1/8 + 1/2 = 5/8

Step-by-step explanation:

Total number of beads = 8

Number of green beads = 4

Number of yellow beads = 1

Fraction of green beads :

Number of green / total number of bead = 4 / 8 = 1/2

Fraction of yellow beads :

Number of yellow / total number of bead = 1 / 8

Number of green or yellow bead :

1/8 + 1/2 = (1 + 4) / 8 = 5/8

∆ABC is isosceles with legs AB and AC. If AC = 6 cm, and the perimeter is 15 cm, calculate m∠B.

Answers

Answer:

m∠B = 75.5°

Step-by-step explanation:

Since AC = 6, then AB = 6 and BC = 15-6-6 = 3

The altitude from A bisects side BC.  Let the point of intersection of the altitude and BC be point D.  Then BD = 1.5

Cos B = 1.5/6

m∠B = arcccos (1.5/6)

m∠B = 75.5°

Please help! I will give Brainliest!
Who is correct?

Answers

Answer:

Eric is correct

Step-by-step explanation:

Find the surface area of the above solid

Answers

Answer:did u ever find the answer i need it

Step-by-step explanation:

Sixty percent of the people surveyed use sunscreen. A random number generator was used to simulate the results of asking the next three people. The numbers 0–5 represent people who use sunscreen, and the numbers 6–9 represent people who do not use sunscreen. What is the probability that two of the next three respondents use sunscreen?

Answers

Answer:

[tex]Pr = 0.50[/tex]

Step-by-step explanation:

Given

See attachment for complete question

Required

Probability that 2 of 3 use sunscreen

From the attached data, we have:

[tex]S = \{275, 738, 419, 582, 987, 436, 578, 472, 178, 839\}[/tex]

[tex]n(S) = 10[/tex]

Events where 2 of the 3 uses sunscreen is:

[tex]x = \{275, 419, 582, 436, 472\}[/tex] --- i.e. where 0 -5 represents sunscreen

[tex]n(x) = 5[/tex]

So, the required probability is:

[tex]Pr = \frac{n(x)}{n(S)}[/tex]

[tex]Pr = \frac{5}{10}[/tex]

[tex]Pr = 0.50[/tex]

A school has 764 students. Of the students, 118 are in third grade. Which
equation can be used to find s, the total number of students in all of the other
grades?
764 + 118 = s
s
764 = 118
118 = 764
118 + s = 764

Answers

I think it’s the first one because it says S represents the total so I’m guessing to add 764 and 118 and it will get you the total.

Answer:

D. 118 + s = 764

Step-by-step explanation:

To find the total number of students in all the other grades, if we only know the total number of students in the school and the number of kids in 3rd grade, we need to subtract the kids in 3rd grade from the entire school. This leaves us with 646.

s = 646

Hope it helped!

Roberto debe leer un libro que contiene 340 páginas en 4 días por lo cual planea la siguiente distribución: el primer día 1/5 de las páginas del libro, el segundo 1/4 de lo que queda por leer y el tercero 1/6 del resto. ¿Cuántas páginas le quedan por leer a Roberto en el cuarto día?

Answers

Answer:

170 pages

Step-by-step explanation:

Roberto must read a book that contains 340 pages in 4 days for which he plans the following distribution

The number of pages he read for the first day :

The first day 1/5 of the pages of the book

This is calculated as:

1/5 × 340 pages

= 68 pages

For the second day:

The second 1/4 of what remains to be read

The number of pages remaining after the first day is calculated as:

340 - 68 = 272 pages

Hence, the number of pages read on the second day is

1/4 × 272 pages

= 68 pages

For the third day

One the third day, 1/6 of the rest was read.

The number of pages remaining after the first day is calculated as:

272 - 68 = 204 pages

Hence, the number of pages read on the third day is

1/6 × 204 pages

= 34 pages

Therefore, the number of pages Roberto has to read on the fourth day is calculated as:

340 pages - (68 + 68 + 34)pages

340 pages - 170 pages

= 170 pages

Help please, I’m confused if someone could answer it and explain I’ll give brainliest because I’m SO confused.

Answers

Answer:

I think its the last one

Step-by-step explanation:

answer:
b. the graph g(x) is shifted seven units to the right of f(x)

step-by-step explanation:
i use desmos for these kinds of problems
the graph g(x) is shifted seven units to the right of f(x)
the vertex of g(x) is (7, -5) so there is only one correct answer

FIRT TO ANSWER GETS BRAINLYEST
Which best explains whether 9 is a solution to the inequality x greater-than 9?
It is not a solution because 9 is not greater than 9.
It is not a solution because 9 is not less than 9.
It is a solution because 9 is greater than 9.
It is a solution because 9 is less than 9.

Answers

A) it is not a solution because 9 is not greater than 9.

EXPLANATION:
the equation is X > 9

if you replace x with 9,

then the equation would be 9 > 9

9 is not greater than 9. so it is not true.

Hope it helps!

Please help and show work!

Answers

Answer:

Step-by-step explanation:

The given quadratic must be rewritten in standard form before anything else is done:  -2x^2 + 8x - 8 = 0.  The coefficients of the x terms are {-2, 8, -8}.

The discriminant b^2 - 4ac is therefore (8)^2 - 4(-2)(-8), or  64 -  64, or 0.

A zero discriminant points to two real, equal solutions.

A warehouse has a height of 8 2/10 ​ meters, length of 120 meters, and width of 20 3/10 ​ meters. What is the volume of the warehouse?

Answers

Volume = 119975.2 meters3

Help me out! I need this!!!! Brainliest answer and 15 points!

Answers

Answer: Second option (-2.8, -2.6)

Step-by-step explanation:

The solution to both equations would be the intersection of the lines.

Answer:

b

Step-by-step explanation:

Determine the volume of the shape below

Answers

Answer:

V = 24513.85 m³

Explanation:

Volume of a right cylinder = area of the base × height

V = πr² × h

r = d/2

r = 34/2 = 17 m

V = π × 17² × 27

V = 24513.85 m³

Find the volume of the pyramid. Someone help plz

Answers

Answer:

2880

Step-by-step explanation:

10 x 8 x 6 x 12 = 5760/2 = 2880

please help me!!!! i’m so bad a mathhhh

Answers

Answer:

22x^2+21x+10

brainliest?

Step-by-step explanation:

Answer:

The 4the bubble

Step-by-step explanation:

It is pretty much combining like terms. 22x² is alone since there is no other variable that has an x², so it will be left alone. However, there is 14x and -7x, they both have an x, so that makes them like terms. Combine those and you get 14x minus 7x which is 7x. The number 10 has no other like term to combine with so it can be left alone as well, so just put them all together in the end (simplify). Which would be 22x² + 7x + 10

Which is true about the angle relationships in the


rectangle? Check all that apply.


BEA and Z CED are vertical angles and equal


76º.


ZABE and Z CBE are complementary angles.


BEC and Z CED are vertical angles.


BEA and AED are supplementary angles


whose sum is 180°


BEC and AED are adjacent angles.

Answers

Answer:

∠BEA = ∠CED = 104° (vertical angles)

∠ABE and ∠CBE are complimentary angles, i.e. ∠ABE + ∠CBE = 90°

∠BEA and ∠AED are supplementary angles. 104 + 76 = 180

Step-by-step explanation:

Vertical angles are opposite angles formed by the intersection of two lines. Vertical angles are congruent to each other.

Complementary angles are angle whose sum add up to 90° while supplementary angles are angles whose sum add up to 180°

Two angles are adjacent if they are placed side by side and share the same vertex.

∠BEA = ∠CED = 104° (vertical angles)

∠ABE and ∠CBE are complimentary angles, i.e. ∠ABE + ∠CBE = 90°

∠BEC and ∠CED are not vertical angles

∠BEA and ∠AED are supplementary angles. 104 + 76 = 180

∠BEA and ∠AED are not adjacent angles

Answers: A B D

Step-by-step explanation:

I did the quiz

Find the value of g, f, e, and d

Answers

Answer:

g-86=15

g= 15+86=101

e-27=45

e=45+27=72

6f+15+45=180

6f=180-60

6f=120

f=20

d=6f

d=120

A truck rental company a basic fee of $70 and an additional $4 per mile for the rental of its trucks. Michelle paid a total of $210 when she rented a truck. How many miles did she drive the truck?

A 17.5 miles
B 35miles
C 70 miles
D 122.5 miles

Answers

Answer:

35 Miles

Step-by-step explanation:

Mark me brainliest.

210 minus 70 = 140

140 divided by 4 = 35

35 is your answer.

1. Which of the following represents a function?
(-1, 2), (-2, 1), (-1, -2), (-2, -1)
(3, 4), (-3, 2), (3, 8), (5, 5)
(2, 3), (4,3), (-2, -3), (-4, -3)
(5, 1), (5, 2), (5, 3), (5, 4)

Answers

Answer: ( -2, -1

Step-by-step explanation:

In the figure below, ACDE is similar to AFGH.
D
G
11
8
C
5 E
2X+4
F
H
If the perimeter of AFGH is 48 units, find the value of x.

Answers

Answer:

6

Step-by-step explanation:

[tex]1)\ P_1 = 11 + 8 + 5 = 24\ units[/tex]

[tex]2)\ 2x + 4 + y +z = 48[/tex]

[tex]3)\ \frac{48}{24} = 2 => 2x+4 = 2*8[/tex]

[tex]4)\ 2x+4 = 2*8 => 2x + 4 = 16 => 2x = 12 => x = 6[/tex]

Answer:

6

Step-by-step explanation:

[tex] \triangle CDE \sim \triangle FGH[/tex]

[tex] \frac{P(\triangle CDE) }{P(\triangle FGH)} =\frac{CD}{GH} [/tex]

(Area of similar triangle theorem)

[tex] \frac{11+8+5}{48} =\frac{8}{2x +4} [/tex]

[tex] \frac{24}{48} =\frac{8}{2x +4} [/tex]

[tex] \frac{1}{2} =\frac{8}{2x +4} [/tex]

[tex] 2x + 4 = 2\times 8[/tex]

[tex] 2x + 4 =16[/tex]

[tex] 2x =16-4[/tex]

[tex] 2x =12[/tex]

[tex] x =\frac{12}{2} [/tex]

[tex] x = 6 [/tex]

what is 4(2/3x +2) = 3x

Answers

Answer:

X=24 is the answer!

Explanation:

Answer:

x = 8

Simplified

3x = 8 + 8/3x

Step-by-step explanation:

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

8/3x + 8 = 3x

8/3x - 8/3x + 8 = 3x - 8/3x

8 = x

A class has 25 students. In how many seats can four students be chosen as class leaders?

Answers

is there any context , i think 4 is the answer?

Answer:

3 groups will have 5 members with a class leader, but only one will have 6 members and a class leader

Step-by-step explanation:

Work out the area of triangle ABC
2 root 5 cm
3 root 2 cm

Answers

shouldn’t there be a picture?

Find the inverse: y = - 1/2 x + 4.

Answers

y=-2 lol sorry if I’m late

|2x-5|<1

i need help pleaseeeeee

Answers

Answer:

x < 3 or x < 2

Step-by-step explanation:

|2x-5|<1

Using compound Inequality

(2x - 5) <± 1

Hence,

a) 2x - 5 < -1

2x < -1 + 5

2x < 4

x < 4/2

x < 2

b) 2x - 5 < +1

2x < 1 + 5

2x < 6

x < 6/2

x < 3

Therefore, x < 3 or x < 2

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