What is the mean absolute deviation of the following set
of data?
9
2
9
9
5
4.
9
1
4
10
Answers
Answer:
3
Step-by-step explanation:
You want the mean absolute deviation of the set of numbers ...
{9, 2, 9, 9, 5, 4, 9, 1, 4, 10}
MADThe mean of this 10-number set of data is 6.2. The mean absolute deviation (MAD) is found by subtracting that from the members of the dataset, taking the absolute values of the result, and finding the means of those.
The attachment shows those calculations.
The MAD of this set of data is 3.
__
Additional comment
The period (decimal point) in the column of numbers suggests this is a 6-number dataset, and the last 4 numbers are answer choices. If that is the case, none of those answer choices is correct. That is why we assumed that this problem has a 10-number dataset.
When you're calculating this by hand, you only need to consider the values for which the deviation is negative. The MAD is twice their total absolute value, divided by the number of numbers in the dataset. Here, that is 2(4.2+2.2+5.2+2.2+1.2)/10 = 3. (Numbers 2, 5, 4, 1, 4 are less than the mean of 6.2.)
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Related Questions
The area of South America is approximately 1.78 × 107 square kilometers. Its population is approximately 3.50 × 108 people. What is the approximate population density (people per square kilometer) of South America? Write your answer in standard form. If necessary, round your answer to the nearest hundredth.
A: 19.66 people/km^2
B: 1.97 × 10^15 people/km2
C: 5.09 people/km^2
D: 1.97 × 10^1 people/km^2
Answers
Answer: 19.66 people/km^2, A
Step-by-step explanation:
The population density will be equal to 82.96 people/km2.
The correct option is B.
What is an expression?Expression in maths is defined as the collection of numbers variables and functions by using signs like addition, subtraction, multiplication, and division.
Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.
here, we have,
Given that the area is 1.78 × 10⁷ km² with 3.50 × 10^8 people.
The population density will be calculated as below:-
Density = people / km² = ( 3.50 × 10^8 ) / ( 1.78 x 10⁷ )
Density =19.66
Density = 19.66 people/km²
Therefore, the population density will be equal to 82.96 people/km2. The correct option is A.
To know more about an expression follow:
brainly.com/question/9699102
#SPJ2
When do you say that a given quadrilateral is a parallelogram?
Answers
Answer:
Theorem : If in a quadrilateral, each pair of opposite angles is equal, then it is a parallelogram. Given : ABCD is a quadrilateral in which ∠A = ∠C and ∠B = ∠D. We know that the sum of the angles of a quadrilateral is 360o.
Step-by-step explanation:
hope that helps
A bag contains 2 red marbles, 7 blue marbles and 5 green marbles. If two marbles are
drawn out of the bag, what is the exact probability that both marbles drawn will be
blue?
Answers
Answer:
1/2
Step-by-step explanation:
There are :-
⇒ 2 red marbles
⇒ 7 blue marbles
⇒ 5 green marbles
Probability (Blue)
= No. of blue marbles / No. of total marbles= 7 / (2 + 7 + 5)= 7/14= 1/2what is the formula for the volume of a sphere with radius r = 5?
Answers
Answer:
V = (4/3)π·5³ = 500π/3
Step-by-step explanation:
The formula for the volume of any sphere as a function of its radius is ...
V = (4/3)π·r³
When the sphere has a radius of 5, we replace r in the formula with 5. The formula for the volume of a sphere with radius 5 is ...
V = (4/3)π·5³
__
When that is evaluated, the volume is found to be ...
V = 500π/3 ≈ 523.599 . . . cubic units
What are levels of mathematical acquisition in pre-junior
Answers
Answer: Number Sense – Understanding Quantity.
Representation – Using Symbols and Words to Represent Numbers.
Shapes and Spatial Relationships (Geometry)
Measurement – Comparing and Communicating about size.
Patterns – Recognizing and Making Patterns.
Problem Solving.
Step-by-step explanation: boom!
2 points
Daria earns h dollars per hour at the grocery store. She works 9 hours per week. She writes the expression 9 • h • 4 to represent how much
money she earns in a four-week month. Daria's boss writes the expression 36h. Which person's expression tells you how many hours Daria
works per four-week month? EXPLAIN YOUR REASONING.
Answers
Answer:
Daria's boss expression
Step-by-step explanation:
Her boss expression because it's asking about the hours worked per four week month. Daria's expression represents the 9 hours she works per week for the 4 weeks in the month.
Her boss expression represents the total number of hours she works altogether in all the four weeks in the month.
Can you be serious and more understanding about the home work
Answers
Answer:
yes
Step-by-step explanation:
is there a specific question?
Answer: All children should be doing homework. But the amount and quality should change." His basic prescription.
Step-by-step explanation:
Help picture below problem 16
Answers
Concept :-
⠀
We have studied the law which states that the sum of all angles in a triangle is 180°, this is known as angle sum property of a triangle. We can solve this question based on that property.
Solution :-
⠀
Let us assume the missing angle to be x,
Therefore,
→ 66° + 71° + x = 180° ( Angle sum property of a triangle )
→ 137° + x = 180°
→ x = 180° - 137°
→ x = 43°
Thus, the measure of the missing angle is 43°.
Hope that helps :)
The population of a city increased from 21,400 to 27,700 between 2007 and 2016. Find the change
of population per year if we assume the change was constant from 2007 and 2016.
Answers
Answer:
700
Step-by-step explanation:
2016 - 2007 = 9
27,700 - 21,400 = 6300
6300 / 9 = 700.
Four friends are order pizza from a take away.
The amount of pizza each person eats is shown as a fraction below
Matthew eats 0.8of a pizza
Lily eats 3/4of a pizza
George eats 77%opizzas f a pizza
Sam eats 82%of a pizza
Which person eats the most pizza?
You must show your workings
Answers
Answer:
Sam ate the most pizza.
Step-by-step explanation:
Mathew: 0.8 is equal to 80%
To get a percentage, you need to move the decimal two places to the right.
Lily: 3/4 = 75%
George: 77%
Sam: 82%
Find the surface area of the cube in square feet.
Answers
Answer:
The answer is 2/3 or 0.67 square foot.
Step-by-step explanation:
Given;Length (l) = 1/3 ftTo Find;Surface area of cubeFormula;Area = 6l²Now,
A = 6l²
A = 6 × (1/3)² ft
A = 6 × 1/9 ft
A = 6/9 ft
A = 2/3 square foot
Thus, The surface area of cube is 2/3 or 0.67 square foot.
True or False: In an exponential regression, the data points tend to increase in one direction and flatten out in the other direction.
Answers
Answer:
T
Step-by-step explanation:
The regression line is flat when there is no ability to predict whatsoever. The regression line is sloped at an angle when there is a relationship. The extent to which the regression line is sloped, however, represents the degree to which we are able to predict the y scores with the x scores
write THREE equivalent fractions for the following fractions:
25/50 = ___ = ___ =____
Answers
Answer:
25/50 = 5/10 = 1/2
Step-by-step explanation:
I hope it will be helpful
Answer:
25/50 = 5/10 = 1/2Hooe this helps you :)need help please again
Answers
Answer:
7 hours
Step-by-step explanation:
d=rt
d is distance
r is speed
t is time
here we need to find (t)
so d/r is t
so t is 455/65
t is 7
The figure is made up of a cylinder and a half sphere. What is the volume of the composite figure? Use 3.14 for Pi. Round to the nearest hundredth.
A cylinder and half sphere. Both have a radius of 4 millimeters. The cylinder has a height of 7 millimeters.
Recall the formulas V = B h and V = four-thirds pi r cubed
Answers
Answer:
351.68 millimeters for the cylinder and 8 23/75 millimeters for the half circle.
Step-by-step explanation:
Volume Cylinder = 3.14(16)(7) = 351.68
Volume Half sphere = 2/3(3.14)(4) = 8 23/75
If you want both of them together just add up the two numbers.
Answer:
351.68 millimeters cylinder
8 23/75 millimeters half circle
Step-by-step explanation:
What is the solution to the system of equation s x+y=4. X=y-1
Answers
Answer:
x = 3/2
y = 5/2
Step-by-step explanation:
x + y = 4
x = y - 1
substitute y - 1 in for x in the first equation, to find y
y - 1 + y = 4
2y - 1 = 4
add 1 on both sides
2y - 1 = 4
+1 +1
2y = 5
divide by 2 on both sides
2y/2 = 5/2
y = 5/2
subtitute y in for the second equation, to find x
x = 5/2 - 1
x = 5/2 - 2/2
x = 3/2
so x = 3/2 and y = 5/2
to double check, plug x and y in the first equation
3/2 + 5/2 = 4
8/2 = 4
4 = 4
A researcher is interested in determining whether teens who transfer schools after their freshman year in high school demonstrate
more behavior problems on the Achenbach Youth Self Report test with a population mean of 50 and a population standard deviation of
10. The researcher has a sample of 100 teens with a mean score of 59. What is your obtained z?
Answers
The z-score of the number of teens that transfered schools is the standard score
The obtained value of z is 5
How to determine the value of z?The given parameters are:
Population mean, μ = 50Population standard deviation, σ = 10Sample, x = 100Sample mean = 59The z-value is calculated using:
z = (x - μ)/σ
Substitute known values in the above formula
z = (100 - 50)/10
Evaluate the difference
z = 50/10
Evaluate the quotient
z = 5
Hence, the obtained value of z is 5
Read more about z-scores at:
https://brainly.com/question/25638875
Consider the graph of the quadratic function. Which
interval on the x-axis has a negative rate of change?
-2 to -1
-1.5 to 0
0 to 1
1 to 2.5
Answers
The only interval with a negative rate of change is the last one:
[1, 2.5]
When the rate of change is negative?
For an interval (a, b) and a function f(x), the rate of change is defined as:
[tex]r = \frac{f(b) - f(a)}{b - a}[/tex]
So the rate of change is only negative when the function evaluated on the first value of the interval is larger than the function evaluated in the second one.
For example, on the interval [1, 2.5} we can see that:
f(1) = 3
f(2.5) = -1
Then on this interval, the rate of change will be negative, meaning that this is the correct option.
If you want to learn more about rates of change, you can read:
https://brainly.com/question/8728504
Answer:
It's D: 1 to 2.5
Step-by-step explanation:
It's D: 1 to 2.5
the table of value shows a linear relationship
Answers
Answer:
I believe your answer is A
Step-by-step explanation:
Rise is over run, the run (x) is increasing by five but, the rise (y) is decreasing by 8 so the answer would be -8/5
Hope this helps! :)
The value of x is 6. What is the value of y ?
Answers
Answer: y = 4.5
scale factor = 4/3
Someone pls
.
A
A
A
A
A
A
S
Answers
Answer:
7
Step-by-step explanation:
Degree of a polynomial is a variable's highest exponent
In this expression the degree is 7
Answer:
7
Step-by-step explanation:
If you used
P.E.M.D.A.S
Brainly please I worked so hard for this answer
help me please. either one is fine.
Answers
95+(3x+23)+(7x-4)+(9x-6)+90 = (5-2) x 180
x = 18
9)
41+(3x+6)+(7x-11)+62+(4x+7)+(6x-5) = 360
x = 13
Help! 10 Points !!
A line passes through the point (-8. 5) and has a slope of -5/4
Answers
=m(x-x1) + y1
y= 5/4 (x-8) +5
y= 5/4x - 10 + 5
y= 5/4x - 5
The mean of 5 different numbers is 6 and the mean of 4 different
numbers is 15. Find the mean of 9 numbers. Please answer fast as possible.
Answers
Total number of the second four numbers=4*15=60
The total number of the 9 numbers=30+60=90
Mean of the 9 numbers=90/9=10
Find angles B, E, C, and D, given that angle m A=140° and m F=130°.
*Picture is not drawn to scale*
Answers
Answer:
Angle B=40 degrees
Angle C= 90 degrees
Angle E=50 degrees
Please Mark Brainliest
these answer- I am sure they ar correct
PLEASE HELP PLEASE HELP
Answers
the figure represent 7/9 0f a full circle Find the measure of the marked central angle
Answers
Step-by-step explanation:
tbh I don't know I need help with that too please like this comment
The measure of the marked central angle of the sector will be 280°.
What is the arc length of the sector?Let r is the radius of the sector and θ be the angle subtended by the sector at the center. Then the arc length of the sector of the circle will be
Arc = (θ/2π) 2πr
The figure addresses 7/9 of a complete circle. Then the arc length of the circle will be given as,
Arc / P = 7/9
Simplify the equation, then we have
(θ/2π) 2πr / 2πr = 7/9
θ/2π = 7/9
θ = 14π / 9
θ = 280°
The central angle of the sector will be 280°.
More about the arc length of the sector link is given below.
https://brainly.com/question/15955580
#SPJ2
evaluate the expression 4 3x when x is 2
Answers
24 would be the answer
Need help with this geometric question ASAP, Thank you
Answers
Answer: 15
Step-by-step explanation:
The ratio of blue jays to Robin's was 6 to 7. If there were 84 Robins, how many blue jays were there?
Answers
Answer:
72
Step-by-step explanation:
Since the ratio of blue jays to robin's was 6 to 7 then if there were 84 robins how many blue jays were there.
6 to 7 can also be express as 6/7
Thus, we can set up a proportion
6/7 = x/84
Now, we have to solve for x
x = 72
Hence, if there were 84 robin there would be 72 blue jays.
~lenvy~