If the mean of the data set is 3.533. Then the mean absolute deviation for the data set will be 1.831.
How do find the mean absolute deviation of discrete data?Suppose the data specified is of n sized as
[tex]\rm x_1, x_2, \cdots , x_n[/tex]
Let this data's mean will be μ
Then, the mean absolute deviation of this data is the mean of the absolute differences of the observations from the mean of the data they belong to.
It is calculated as:
[tex]\rm M.A.D = \dfrac{\sum_{i=1}^n|x_i - \mu|}{n}[/tex]
The data set is given below.
3, 5, 6, 3, 2, 2, 1, 0, 0, 4, 7, 4, 5, 5, 6
Then the mean of the data will be
Mean = (3 + 5 + 6 + 3 + 2 + 2 + 1 + 0 + 0 + 4 + 7 + 4 + 5 + 5 + 6)/15
Mean = 53/15
Mean = 3.533
Then the mean absolute deviation for the data set will be
[tex]\rm M.A.D = \dfrac{|3-3.533| + |5-3.533| + |6 - 3.533| + |3 - 3.533| + ...+|6-3.533|}{15}[/tex]
M.A.D. = 27.4665/15
M.A.D. = 1.831111
More about the mean absolute deviation link is given below.
https://brainly.com/question/10258446
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Sophia is making a table. All but one of the boards that are used to make the table are 1516 inch thick. Sophia’s last board is 118 inches thick.
Answer:
i do believe it is 316 inch
Step-by-step explanation:
Answer:
D. 38
Step-by-step explanation:
Write an improper fraction using the following criteria:
an improper fraction
the value is between 5 and 10
the denominator is 9
(5x5 -28 =56
Step-by-step explanation its simple.
I need help on this please!
Answer:
2.15 or 2
Step-by-step explanation:
41. Identify the graph of the equation as a parabola (with vertical or horizontal axis), circle, ellipse, or hyperbola.
x^{2}+3 x=3 y-6
Three pieces of strings have a length of 124 cm, 286 cm and 320 cm respectively. Each string is cut into several pieces of the same length and no string is left over. What is the length of the longest piece of string?
Answer:10
Step-by-step explanation
Because Each string is cut into several pieces of the same length and no string is left over.
ill give brainly but hurry
Answer: I beileve its skewed left after all most of the dots are on the left
Step-by-step explanation:
Answer:
This looks like a skewed right plot.
Can somebody answer and explain?
( brainliest )
To understand how to do this problem, we have to look at examples to figure it out. One example would be, if I had a whole cake and cut into 2 pieces I would have two halves, and if I cut it into 4 pieces, I'll have 4 quarters of cake, so 2/2 (two halves) = 4/4 (4 quarters). If I ate 1/2 I would have
(Keep in mind that Equivalent fractions are fractions that are equal to each other)
So to solve these we have to figure out the equal fractions. To do this, we start by multiplying by 2.
(the * symbol is multiplication)
So 3/4 would be 3*2=6 and 4*2=8 so it would be 6/8
Now we can try multiplying it by 3
3*3=9 and 4*3=12 so the 2nd would be 9/12
And we multiply it by 4 now,
3*4=12 and 4*4=16 so the 3th would be 12/16
So, therefore, the answers for 3/4 are 6/8, 9/12, & 12/16.
I'm also going to give you a simplified number that you can use to solve the other problems easier.
3/7 is 3/7. (cannot be simplified)
18/27 is 2/3.
20/80 is 1/4.
You can use these three numbers to start and multiply by 2 and 3 for the other two numbers.
I just gave you a very easy was to solve them and a simple calculator or doing the simple math will be able to help you figure out the rest.
Good luck!
~Red Retriever~
Mathew is a financial analyst for a surf board company. He has found an equation for the revenue of selling t-shirts with the company logo to be r= -3p^2 + 60p +1060, where p is the price of the company’s product. What should he use to determine the price of maximum sales?
Answer: The price of maximum sales is $160
Step-by-step explanation:
This question requires you to find the vertex of this equation. The vertex of a parabola is the point where the parabola crosses its axis of symmetry.
since the coefficient of the [tex]x^2[/tex] term is negative, the vertex will be the highest point on the graph.
this quadratic equation is in standard form: [tex]y = ax^2+bx+c[/tex].
From this, we can derive:
[tex]a = -3[/tex]
[tex]b = 60[/tex]
[tex]c = 1060[/tex]
First, determine the axis of symmetry ([tex]p[/tex] is the variable for the horizontal axis ([tex]x[/tex]) in this instance). This will be our x-coordinate of the vertex.
[tex]p = \frac{-b}{2a}[/tex]
[tex]p = \frac{-(60)}{2(-3)}[/tex]
[tex]p = \frac{-60}{-6}[/tex]
[tex]p=10[/tex]
Then, substitute the axis of symmetry into the function to find the y coordinate of the axis of symmetry. r stands for the variable for the vertical axis in this instance. This will be our y-coordinate of the vertex.
[tex]r = -3(10)^2+60(10)+1060[/tex]
[tex]r = 160[/tex]
As we have determined both the x and y coordinate of the vertex for this equation, we can determine that the maximum point is at [tex](10, 160)[/tex].
the maximum price ([tex]r[/tex]) is 160
What is the ratio of black circles to white circles?
5:3
3:5
3:2
2:3
Answer:
Your answer is: 3:2
Step-by-step explanation:
You can see this because there are 3 black circles shown, and 2 white circles.
Since it goes from black to white you first do black which is 3, then to white which is 2.
Meaning you answer is:
B: 3:2
Identify a two-step inequality that can be represented by the graph.
Answer:
Equivalent expressions: negative numbers & distribution
Step-by-step explanation:
The figure shown is made of two rectangles.
ill give brainly and 10 points
Answer: 105 in^2
Step-by-step explanation: The area of the square is 25 because 5x5=25. The area of each triangle is 20, because to find a triangle it is BxH/2. so 5x8/2=20. Multiply this by four because there are four triangles and add the area of the square. So 20x4= 80. 80+25=105
PLS HELP. I will give brainliest if you are correct!!!
What is the area of one base of the triangular prism?
24 square units
48 square units
160 square units
200 square units
ill give brainly HURRY
The cost of a cleaning service includes labor and supplies. Supplies are 30% of the total cost. The cost of supplies for a certain cleaning service is $54.
What is the total cost of the cleaning service?
Enter your answer in the box.
Answer:
The total cost of the cleaning service is $180
Step-by-step explanation:
We have, 30% × x = 54
or,
30/100 × x = 54
Multiplying both sides by 100 and dividing both sides by 30,
we have x = 54 × 100/30
x = 180
If you are using a calculator, simply enter 54×100÷30, which will give you the answer.
Find surface area will give branliest if answer is right.
Answer:
66 in^2
Step-by-step explanation:
Marcus earns $25 each week for helping out yard work. Write an expression that could be used to find the amount he earns working any number of weeks, w. v.
Pls help me!
Answer: 25w
Step-by-step explanation:
You multiply the amount earned ($25) by the number of weeks,(which is unknown in this case and can be represented as w).
HELP PLEASE I NEED IT TO FINISH THIS ASSIGNMENT
Answer:
D. 1 3/4
Step-by-step explanation:
please solve this. i need help
Answer:
23
Step-by-step explanation:
its going down lower minus by 6.
the x means the answer/number.
the answer is 23 of what i think
Brainliest (Sorry abt the other question!!)
The inside space of two different water tanks are shown below. Which tank has a greater capacity? Justify your response to Question 1.
Answer: C , explanation at the bottom
Step-by-step explanation:
Step 1: Find the volume of tank 1
V= Lwh
l= 6in
w= 1.5in
h= 3in
6x1.5x3= 27
Step 2: Find the volume of tank 2
l= 2 in
w= 1.5 in
h= 9 in
2x1.5x9= 27
Step 3: Compare
27=27
answer= C
Explanation: Since they have the same volume, they can hold the same amounts. Using the formula V=lwh, I multiplied the lengths, widths, and heights of both tanks and then compared their volumes.
can you please answer the question below
I really need your help
Thank you very much!!
Answer:
34.september has the most adults
35. 30 was the least number of students to visit.
36. the children showed the largest drop between months.
37. 15 more children than adults in may
Step-by-step explanation: if you look at the chart key and the numbers put on the side you will be able to see the differences in the adults and children's information
Mrs. Yang has 8 boys and 16 girls in her grade 6 class. What is the ratio of girls to boys? Write two other ratios to describe the class. Write 2 equivalent ratios for the class.
Answer:
8to4
Step-by-step explanation:
for every 8 girls there are 4 boys
Answer:
4:8 1:2
Step-by-step explanation:
So 8 boys to 16 girls is 8:16, then you can divide by 2 to get 4:8 becuase 4:8 and 8:16 are equal and 1:2 and 8:16 are equal.
I need the answer asap. Pls help
Answer:
-1/7
Step-by-step explanation:
-3/5(2/7)+4/35-3/10(2/7)
-3/5(2/7)+4/35-3/10(1/7)
-6/35+4/35-3/5(1/7)
-6/35+4/35-3/35
-1/7
An account earns 3% yearly simple interest. How much interest will you earn in 9 years if you put $820 in the account
A. $1069.91
B. $1041.40
C. $249.91
D. $221.40
Which number line shows all the values of y that make the inequality -6y - 2 > 10 true?
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Circle the correct option: A, B, C, or D.
5. There are 150 passengers on board a train. 30 of them are traveling to the airport and the rest are traveling to work. What percentage of the passengers are traveling to work?
A 25%
B 20%
C 60%
D 80%
Answer:
d
Step-by-step explanation:
use your brain
If x = 7 units, y = 3 units, and h = 9 units, find the area of the trapezoid shown above using decomposition.
Answer:
Area = 45
Step-by-step explanation:
Solve:
Now using the formula if:
x = 7
y = 3
h = 9
Area = (X+Y)(h)
Area = (7+3)(9)
Area = (10)(9)
Area = 90
Kavinsky
explain and answer!!!!
What is the slant height, s, of the triangular prism?
Round your answer to the nearest tenth.
Image below
Step-by-step explanation:
there is a right angled triangle.
25+4 = 29 = slant ht^2
h = 5.38 units