Emily and Hunter tracked the average temperature in their city for the past 8 days. They recorded their temperature findings in this list 66°F, 57°F, 61°F, 65°F, 54°F, 62°F, 59°F, 56°F


What is the mean absolute deviation of this data set?


Enter your answer in the box.​

Answers

Answer 1

Answer:

The mean absolute deviation = 3.5°F

Step-by-step explanation:

The sum of the given temperatures, ∑T, is found as follows;

∑T = 66°F + 57°F + 61°F + 65°F + 54°F + 62°F + 59°F + 56°F = 480°F

The number of days, n, over which the temperature was tracked = 8 days

Therefore, the mean, [tex]\bar x[/tex], of the data set = ∑T/n = 480°F/8 = 60°F

The mean absolute deviation is given by the following formula;

[tex]Mean \ absolute \ deviation = \frac{\sum \limits_{i = 1}^{n} \left | x_i - \bar x \right | }{n}[/tex]

Therefore, we have;

66 - 60 = [tex]\left | 6\right |[/tex] = 6

57 - 60 = [tex]\left | -3\right |[/tex] = 3

61 - 60 =  [tex]\left | 1\right |[/tex] = 1

65 - 60 =  [tex]\left | 5\right |[/tex] = 5

54 - 60 =  [tex]\left | -6\right |[/tex] = 6

62 - 60 =  [tex]\left | 2\right |[/tex] = 2

59 - 60 =  [tex]\left | -1\right |[/tex] = 1

56 - 60 =  [tex]\left | -4\right |[/tex] = 4

The mean absolute deviation is therefore;

The mean absolute deviation = (6 + 3 + 1 + 5 + 6 + 2 + 1 + 4)/8 = 3.5°F.


Related Questions

Gaston claims to eat 6 dozen eggs every morning. If the hens in his town lay 2 eggs per day, what is equation that represents the relationship between the total number of eggs Gaston eats each morning and the number of hens (h) needed to support his diet?

Answers

Answer:

72=2h

Step-by-step explanation:

6x12=72

SOLVE ATTACHMENT PLEASE!!!!!!!

Answers

Answer:

[tex]B=\frac{h+D^{2}5g}{D^{2} }[/tex]

Step-by-step explanation:

h = D²(B - 5g)

h = D²B - D²5g

h + D²5g = D²B

B = (h + D²5g)/D²

Help! 13 points!:) Geometry

Answers

Answer:  

For part A its called a ray.For part B it would be EA.

Step-by-step explanation:

Part A would be called a ray because B is the endpoint while C is continuous and a ray has only one endpoint.Part B is EA because E would be the endpoint while A would be continuous

What is the greatest common
factor of the following three
numbers?
12, 18,32​

Answers

the answer is 6
hope this helps

Answer:

2

Step-by-step explanation:

12:1,2,3,4,6,12

18:1,2,3,6,9,18

32:1,2,4,8,16,32

h.c.f = 2

At a track meet, the 3 members of a relay race ran a total distance of 3/8 of a mile. if each runner ran the same distance. how far did each person run?​

Answers

Answer:

.125 of a mile

Step-by-step explanation:

If the total distance was 3/8 of a mile and there were 3 runners, then each runner ran ___________________.

Change the 3/8 to a decimal

3/8 = 0.375 of a mile

Since there were 3 runners divide the total distance by 3

0.375/3 = 0.125

Each runner ran 1/8 of a mile or 0.125 of a mile.

Solve the equation
-3x + 1 + 10x = x + 4
0 x = 1/2
х
=
x = 12
X = 18

Answers

Answer:

           x = 1/2

Step-by-step explanation:

-3x + 1 + 10x = x + 4

      -1                  -1

        7x  = x  + 3  

       -x          -x

        6x = 3

      ÷6      ÷6

         x = 1/2

ahh sorry! i need help again! question 25! if you can, please include steps! thanks!

Answers

Answer:

2

Step-by-step explanation:

2x^2 -3xy^3

Let x=-2 and y =-1

2 ( -2)^2 -3 (-2) (-1)^3

Using PEMDAS, we do exponents first

2 ( 4) - 3(-2) (-1)

Multiply nexy

8 - 6

2

In this question, we are required to find

[tex]2 {x}^{2} - 3x {y}^{3} [/tex]

When, x = -2 and y = -1

We just need to plug the values of x and y in the given polynomial to get our required answer.

Given, Polynomial in variable x and y,

[tex]2 {x}^{2} - 3x {y}^{3} [/tex]

Plugging values of x and y,

[tex]2 {( - 2)}^{2} - 3( - 2)( - 1) {}^{3} [/tex]

According to PEMDAS, we need to do the exponents first, So let's simplify the exponents,

[tex]2(4) - 3( - 2)( - 1)[/tex]

Opening the parantheses and finding the answer,

[tex]2 \times 4 - 3 \times - 2 \times - 1[/tex]

[tex]8 -6[/tex]

[tex] \boxed{ \red{2}}[/tex]

This is our required answer !!

#CarryOnLearning

━━━━━━━━━━━━━━━━━━━━

I need help! I don't know how to do this

Answers

TIP: highlight the most important things!!! like numbers, amounts, the question, etc!!!

In the triangle below, 21 = 35 and 23 = 100°.
1
3
What is the measure of angle 2?

Answers

Answer: Angle 2: 45°

Step-by-step explanation:

All triangles add up to 180, so all you would so is take both of those angles and subtract them from 180, so basically 180 - 135

19. A car rental agency charges $250 per week plus $0.45 per mile to rent a car. How many miles can you
travel in week for $587.50? Let x represent the number of miles travelled.

Answers

$587.50 - $250 =$337.50 / $0.45 = 750 miles

X = 750

1/8 x 8
3/8 x 8
1/8 x 8
3/8 x 8​

Answers

Step-by-step explanation:

1/8 x 8 = 1

3/8 x 8 = 3

1/8 x 8 = 1

3/8 x 8 = 3

Please help me answer all the questions

Answers

Answer:

3. -6m-18

4. -6z+1

5. -5x-1

6.-x-4

7. ba-6b

8. 21ab-14ac+28a

9. 4x+1

10. 1/6x-4

Step-by-step explanation:

NO is an angle bisector. Solve for x.

A. x = -10
B. Not enough information
C. x = 10
D. x = 4

Answers

Answer:
x= -10

Explanation:

When solving for x with 2 equations given, you’d add 3x+10 with 7x-30 like so: 3x+10=7x-30. you ALWAYS work your way from right to left till you’ve got nothing on your right but a number with no variable, so subtract 7x with 3x, giving you 4x, so now your equation would be: 4x+10=-30. Now that there is a single number to the right, you start to rotate, so subtract 10 from -30, giving you -40, so now your equation would be: 4x=-40. This is the last step, so all you have to do is divide 4x to itself and to -40. You DO NOT add the variable x to your answer, so it should be: x=-10 as your final answer.

Jasmine was observing her farm from a hot air ballon when she accidently dropped her telescope. As always on earth the formula to find the distance has fallen , d, after t seconds, is the triangle D= 16t^2. How far has the telescope fallen after 1 second. First person to answer gets brainliest

Answers

Answer:

D=16m

Step-by-step explanation:

D=16t^2

D=16×1

D=16m

Which is a y-intercept of the continuous function in the table? (0, –6) (–2, 0) (–6, 0) (0, –2)

Answers

Answer:

(0, - 6)

Step-by-step explanation:

The y- intercept is where the function crosses the y- axis.

This occurs when x = 0 , thus

From the table when x = 0, f(x) = - 6

The y- intercept is therefore (0, - 6 )

Answer:

(0, - 6)

Step-by-step explanation:

A weather balloon ascended from an elevation of 18 feet below sea level to an elevation 19 1/2 feet above sea level. What distance dd the weather balloon rise?

Answers

Answer:

The ballon rose a distance of 37 1/2 feet

Step-by-step explanation:

Here, we are interested in calculating the level of ascent of the weather balloon.

From the question, we are told that the ballon made a transition from below the sea to above the sea.

Now to calculate the total distance, we shall

be adding the distances below the sea and the distances above;

Mathematically, that would be;

18 feet + 19 1/2 feet = 37 1/2 feet

Simplify the expression:
(2f - 6)(-3)

Answers

Answer:

Simplify the expression.

6f+18

Step-by-step explanation:

50 POINTS FOR THE ANSWER! Vanessa and Zack are playing a game where the player with the lower score wins. At the end of the game, Vanessa has a score of Negative 3 and StartFraction 5 over 8 EndFraction and Zack has a score of Negative 3 and two-thirds. Which statement explains who won? Comparing the decimal equivalents of their scores shows that Vanessa won because –3.625 is less than Negative 3.ModifyingAbove 6 with bar. Comparing the decimal equivalents of their scores shows that Vanessa won becauseNegative 3.ModifyingAbove 6 with bar is less than –3.625. Comparing the decimal equivalents of their scores shows that Zack won because –3.625 is less than Negative 3.ModifyingAbove 6 with bar. Comparing the decimal equivalents of their scores shows that Zack won becauseNegative 3.ModifyingAbove 6 with bar is less than –3.625.

Answers

Answer:

zack won. if you compare the decimal equivalents of their scores, -3.666<-3.625

Step-by-step explanation:

given: vanessa and zack are playing a game where the player with the lower score wins

score of vanessa=

[tex] - 3 \frac{5}{8} = - ( \frac{29}{8}) = - 3.625 [/tex]

score of zack:

[tex] -3 \frac{2}{3} = - ( \frac{11}{3} ) = - 3.666[/tex]

we can see -3.666<-3.625

zack has the lower score

Answer:

zack won. if you compare the decimal equivalents of their scores, -3.666<-3.625

Step-by-step explanation:

Please help, question is in photo below, about finding angles.AWARDING MORE POINTS

Answers

Step-by-step explanation:

[tex](2x + 23) + (9x - 5) = 11x + 18 \\ 11x + 18 = 95 \: \: \: \: 11x = 77 \\ x = 7 \\ abd = (2 \times 7) + 23 = 37 \\ dbc = (2 \times 9) - 5 = 13[/tex]

Answer:

x=7

m<ABD=37°

m<DBC=58°

Step-by-step explanation:

Add the two equations.  They need to equal 95.  Solve for x.

(2x+23)+(9x-5)=95

11x+18=95

11x=95-18

11x=77

x=7

Substitute 7 in for x to both equations to solve for the angle degrees.

m<ABD=2x+23 = 2(7)+23 = 14+23 = 37

m<DBC=9x-5 = 9(7)-5 = 63-5 = 58

CHECK: 37+58=95

Find the product of (x + 5)(x − 5).

Answers

Answer:

x² - 30 + 5x

Step-by-step explanation:

(x + 5)(x − 5)

=x(x − 5)+5(x − 5)

=x² - 5 + 5x - 25

=x² - 30 + 5x

if you saved 25 thousand dollars an hour, 40 hours per week for 2020 years, how much money do u have saved up ?!

Answers

Answer:

i dunno

Step-by-step explanation:

you have saved up $105,328,571,000. (don't know if its right or not? its 25,000 by 40. There are 105328.571 weeks in 2,020 years and you multiply that by the answer.

how to solve the following quadratic equations; 2L, m, o, 3a and g

Answers

Answer:

Please see the attached pictures for full solution.

What is the length of side AB of the triangle

Answers

the length of sides AB of the triangle is sum of all sides..

Which of the quadratic functions listed is written in standard form?
O A. Y= 2x² + 3x - 5
O B. Y-4 = - 3(x - 5)
OC. Y - 7 = -2(x + 3)?
O D. Y= (x+1)(x – 5)

Answers

Answer: A

Step-by-step explanation:

f(x)=ax²+bx+c is the standard form for quadratic functions. Looking at the answer choices, we can eliminate B, C, D. They are not the same as the given standard form. B and C are point-slope formulas, which are not standard form. D is in intercept form, therefore it is not standard form. This leaves us with A as the correct answer.

4= -2(x-2) +4 please help I’ll give you points!







Answers

Solution:

4 = -2(x-2) + 4

or, 4 = -2x + 4 + 4

or, 4 = -2x + 8

or, 4 - 8 = -2x

or, -4 = -2x

or, -4/-2 = x

or, 2 = x

Answer:

The value of x is 2.

Answer:

x = 1

Step-by-step explanation:

4 = -2( x - 2) + 4

4 = -2x - (-2) +4

4 = -2x + 2 + 4

4 = -2x + 6

4 - 6 = -2

6 - 6 = 0

-2 = -2x

x = 1

hopefully this helps you get it right and if it does pls mark as brainlest ( it really helps if you do).  :)

Help me plz!!!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

it would be a 25% decrease

Answer:

25% i believe

Step-by-step explanation:

The box-and-whisker plot below
shows the test scores for the last
quiz. What is the interquartile range?
IS

40
50
60
70
80
90
100

Answers

Answer:

Interquartile range = 40

Step-by-step explanation:

interquartile range = Q3-Q1

It has 7 numbers, in order to make it even we remove the middle number (70) to make two sets of quartiles

Q1 = 50 (middle of the lower quartile)

Q3= 90 (middle of the higher quartile)

Evaluate. 7 x (-7 + 15)

Answers

Answer:

solve the bracket first that is -7+15 = 9 *7 = 63

Step-by-step explanation:

1. M=? J=? K=?

2. N=?

3. ( did not know how to crop, please ignore this question! )
Thank you so much!

Answers

Answer:

See Explanation

Step-by-step explanation:

m = 46° (vertical angles)

j = 92° (vertical angles)

j + k + 46° = 180° (staright line angles)

92° + k + 46° = 180°

138° + k = 180°

k = 180° - 138°

k = 42°

n = 37° + 44° = 81°

!!50 POINTS!!
Name the plane represented by the top of the box.

Answers

Answer:

B. BAD

Step-by-step explanation:

ITS D ANSWER: AID THAT IS THE ANSWERRRR
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