1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
krok68 [10]
3 years ago
8

Find the mean absolute deviation of the following set of data.

Mathematics
1 answer:
Katen [24]3 years ago
5 0

Answer:

The mean absolute deviation is 5.952 ⇒ 3rd answer

Step-by-step explanation:

* Lets talk about the mean absolute deviation

- Mean absolute deviation (MAD) of a data set is the average distance

 between each data value and the mean

1- To find the mean absolute deviation of the data, start by finding

   the mean of the data set.

2- Find the sum of the data values, and divide the sum by the

   number of data values.

3- Find the absolute value of the difference between each data value

   and the mean ⇒ |data value – mean|

4- Find the sum of the absolute values of the differences.

5- Divide the sum of the absolute values of the differences by the

   number of data values

* Now lets solve the problem

- The set of data is 31.8 , 22.6 , 13.8 , 16.4 , 28.1

# Find the mean

∵ The mean = sum/ number

∴ The mean = (31.8 + 22.6 + 13.8 + 16.4 + 28.1)/5 = 112.7/5 = 22.54

# Find |data value – mean|

∵ I31.8 - 22.54I = 9.26

∵ I22.6 - 22.54I = 0.06

∵ I13.8 - 22.54I = 8.74

∵ I16.4 - 22.54I = 6.14

∵ I28.1 - 22.54I = 5.56

# Find the sum of the absolute values

∴ The sum = 9.26 + 0.06 + 8.74 + 6.14 + 5.56 = 29.76

# Find the mean absolute deviation

∵ The mean absolute deviation = sum of absolute values/number

∴ The mean absolute deviation = 29.76/5 = 5.952

* The mean absolute deviation is 5.952

You might be interested in
Help please will mark brainless 25 points due today
harkovskaia [24]

here's the solution,

we know that, sum of <u>measures</u> of each interior angle of a <u>triangle</u> = <u>180°</u>

<u>F</u><u>igure</u><u> </u><u>1</u><u>.</u>

=》

40 + 32 + 9x + 9 = 180

=》

81 + 9x = 180

=》

9x = 180 - 81

=》

x =  \frac{99}{9}

=》

x = 11

<u>Figure</u><u> </u><u>2</u><u>.</u><u> </u>

=》

42 + 63 + 4x + 15 = 180

=》

120 + 4x = 180

=》

4x = 180 - 120

=》

4x = 60

=》

x =  \frac{60}{4}

=》

x = 15

<u>Figure</u><u> </u><u>3</u><u>.</u>

=》

45 + 45 + 3x - 21 = 180

=》

3x + 69 = 180

=》

3x = 180 - 69

=》

3x = 111

=》

x =  \frac{111}{3}

=》

x = 37

8 0
3 years ago
Read 2 more answers
The graph of g(x) = (x + 2)2 is a translation of the
sladkih [1.3K]
Can we get a picture or something?
5 0
2 years ago
Read 2 more answers
The number of major faults on a randomly chosen 1 km stretch of highway has a Poisson distribution with mean 1.7. The random var
tiny-mole [99]
The probability can be modeled using the following formula:
P(X =3)
wherein X follows the density 
P(X=k)=\frac{1.7^ke^{-1.7}}{k!}
Now for k = 3 we get:
P(X=3)=\frac{1.7^3e^{-1.7}}{3!}=0.15
The probability we are looking for is 0.15.
Do you have any question ? 
6 0
3 years ago
1. Does the following function represent exponential growth or decay?
svp [43]

Answer:

B - Decay

Please make my answer the brainliest!

Step by step explanation:

7 0
2 years ago
Solution set for 6 tan 3x=6
choli [55]
6\tan3x=6\ \ \ \ |divide\ both\ sides\ by\ 6\\\\\tan3x=1`\\\\3x=\dfrac{\pi}{4}+k\pi\ \ \ \ \ |divide\ both\ sides\ by\ 3\\\\\boxed{x=\dfrac{\pi}{12}+\dfrac{k\pi}{3}\ where\ k\in\mathbb{Z}}
8 0
3 years ago
Other questions:
  • A triangle has sides with lenghs of 3x+3 ,2x+2 and 4x-1. what is the perimiter of the triangle
    15·1 answer
  • Which of the following points is not collinear with (3, 6) and (-2, -9)?
    13·2 answers
  • Roll a die and consider the following two events={2, 3, 6}, event ={1, 5, 6}. Are the events E and F independent?
    10·2 answers
  • 6r = 3(r - 4) - r<br> need help asap!
    7·2 answers
  • What is 4 - 2x = -2
    15·1 answer
  • Which expression is equivalent to _______?
    7·1 answer
  • Find the maximum walking speed of a coyote with legs 0.46 m long. How much faster can a giraffe walk than a coyote?
    5·1 answer
  • Maria’s phone bills were $95, $67, $43, and $115. What was the mean, or average, of her phone bills?
    9·1 answer
  • Help me please I need to turn this in at 10:50 PM
    11·1 answer
  • Simplify.<br> Simplify.<br><br> 62+42<br><br> pls help
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!