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
tia_tia [17]
2 years ago
14

Find and interpret the mean absolute deviation of the data.

Mathematics
1 answer:
k0ka [10]2 years ago
7 0

Using it's concept, it is found that:

  • The <em>mean absolute deviation</em> is of 26.
  • It means that the values differ from the mean by an average of 26.

<h3>What is the mean absolute deviation of a data-set?</h3>

The mean of a data-set is given by the <u>sum of all observations divided by the number of observations</u>.

The mean absolute deviation of a data-set is the <u>sum of the absolute value of the difference between each observation and the mean, divided by the number of observations</u>.

The mean absolute deviation represents the average by which the values differ from the mean.

In this problem, the data-set is: {101, 115, 124, 125, 173, 165, 170}.

Hence, the mean is:

M = \frac{101 + 115 + 124 + 125 + 173 + 165 + 170}{7} = 139

Then, the mean absolute deviation is:

M_d = \frac{|101-139| + |115-139| + |124-139| + |125-139| + |173-139| + |165-139| + |170-139|}{7} = 26

Hence:

  • The <em>mean absolute deviation</em> is of 26.
  • It means that the values differ from the mean by an average of 26.

You can learn more about mean absolute deviation at brainly.com/question/3250070

You might be interested in
A local boutique sells water bottles for a set price, plus an additional fee for each letter that customers would like engraved
lesantik [10]

Answer:

y = 0.35x + 18.99

5 0
2 years ago
PLSSS HELP IF YOU TURLY KNOW THISS
grigory [225]
<h2>Answer:</h2>

The answer is x = 2.

<h2>Step-by-step explanation:</h2>

<u><em>* Scroll to the bottom for an explanation in list format</em></u><em> :)</em>

In this problem, our goal is to solve for x in order to identify said variable's value. To do this, we must isolate the variable x on one side, whilst the other side contains solely the value of x. The rules that we will be using for this problem are '<em>Line of Equality</em>' and '<em>PEMDAS</em>.' Line of Equality is a rule that states that what you do to one side of an inequality/equation, you must to do the other as well. PEMDAS is a mathematical acronym used as a tell-tale of sorts for order of operations - often OoO for inequalities such as this one. In PEMDAS, P stands for Parenthesis, E stands for Exponents, M stands for Multiplication, D stands for Division, A stands for Addition, and S stands for Subtraction. You use each letter in order of the spelling, with the exception that you do Multiplication and Division by whichever comes first in the equation; the same goes for Addition and Subtraction. However, when solving this inequality, we won't have to focus on the complications of P, E, or M at all.

The (original) inequality this problem gives us is 14 + 3x = 2 + 9x. Our first step is to choose which side we will isolate x to, leaving the other one to be its value. I would personally recommend isolate whichever x value is greater, but either way works. This time around, I chose to isolate 9x.

Since I've decided to isolate x on the right side (2 + 9x), that means I have to eliminate any other x values on either side of the inequality. The only other x value is 3x. Due to + 3x being adding a positive 3x, we have to counteract it by eliminating it and changing its value to 0. In this case, we can counteract + 3x by subtracting 3x (aka - 3x). Remember, the <em>Line of Equality</em> rule means we have to do the same to either side; if we subtract 3x on one side, we also have to do so on the other. 14 + 3x - 3x = 2 + 9x - 3x. +3x - 3x = 0, or 0x. 9x - 3x = 6x. After combining like terms, the new inequality is 14 = 2 + 6x.

Now, I have to eliminate any numerical values, or regular numbers (which, in this case, would be numbers without a variable attached to them), on the right side, since that is the side I want to isolate x on. The only numerical value on the right side of my inequality is 2. This 2, or + 2, can be counteracted by subtracting 2, or - 2. Our rule causes us to subtract 2 from both sides. 14 - 2 = 2 - 2 + 6x. 14 - 2 = 12. 2 - 2 = 0. After combining like terms, the new inequality is 12 = 6x.

Now, I have to simplify x and make it singular. 1x and x are the same thing, so I must make 6x into x. 6x is the same thing as 6 * x. Therefore, since 6 * x is multiplication, I have to do the opposite to get the desired result. I should divide 6x by 6 to get 6. Due to the <em>Line of Equality</em>, I also have to divide 12 by 6. 12 ÷ 6 = 6x ÷ 6. 12 ÷ 6 = 2. 6x ÷ 6 = x. After combining like terms, the new inequality is 2 = x.

Lastly, mainly for a bonus step, we should flip the places of 2 and x. This is because, similarly to most problems, this question places x on the left side of the inequality. The 2 and x in 2 = x must switch places in order to properly finish this problem. Since this inequality uses an equal sign, the symbol will remain as an = when the inequality is flipped. However, it should be noted that when using symbols such as greater than (>) or less than (<), the sign will flip with the rest of the inequality. = is a symmetrical sign, which is why it will remain the same; it is the same equivalent symbol even when flipped. After we flip the inequality, the new equation becomes x = 2. Therefore, our answer is x = 2.

<h3>For those that want a list format of the procedure for this inequality's solving - here you go: </h3>

* <u>Remember the '</u><u><em>Line of Equality</em></u><u>' Rule: What you do on one side, on the other do the same.</u>

14 + 3x = 2 + 9x

<em>Subtract 3x from both sides.</em>

14 + 3x - 3x = 2 + 9x - 3x

14 = 2 + 6x

<em>Subtract 2 from both sides.</em>

14 - 2 = (+)2 - 2 + 6x

12 = 6x

<em>Divide both sides by 6.</em>

12 ÷ 6 = 6x ÷ 6

2 = x

<em>Flip the inequality. (The sign remains the same since it's the equal sign.)</em>

x = 2

Therefore, our answer is x = 2.

7 0
2 years ago
20/45 in simplest form
san4es73 [151]
20/45 would be 4/9 in simplest form. hope that helped
7 0
3 years ago
Read 2 more answers
Consider a nuclear power plant that produces 1200 MW of power and has a conversion efficiency of 34 percent (that is, for each u
cestrela7 [59]

Answer:

The amount of nuclear fuel required is 1.24 kg.

Step-by-step explanation:

From the principle of mass energy equivalence we know that energy generated by mass 'm' in an nuclear plant is

E=m\cdot c^2

where

'c' is the speed of light in free space

Since the power plant operates at 1200 MW thus the total energy produced in 1 year equals

E=1200\times 10^6\times 3600\times 24\times 365=3.8\times 10^{16}Joules

Thus using the energy produced in the energy equivalence we get

3.8\times 10^{16}=mass\times (3\times 10^{8})^2\\\\\therefore mass=\frac{3.8\times 10^{16}}{9\times 10^{16}}=0.422kg

Now since the efficiency of conversion is 34% thus the fuel required equals

mass_{required}=\frac{0.422}{0.34}=1.24kg

8 0
3 years ago
PLEASE ANSWER ASAP!!! <br><br> WHAT SHOULD 2.33 BE MULTIPLIED BY TO MAKE IT INTO A WHOLE NUMBRR??
mestny [16]

Answer:

2.331 = (2.33 × 100)(1 × 100) = 233100. As the numerator is greater than the denominator, we have an IMPROPER fraction, so we can also express it as a MIXED NUMBER, thus 233100 is also equal to 233100 when expressed as a mixed number.

Step-by-step explanation:

or mutilpy by 100

6 0
2 years ago
Read 2 more answers
Other questions:
  • A total of 100 students play on the Sports Academy’s soccer, track, or basketball teams. No student plays on more than one team.
    7·2 answers
  • Miranda bought some apples and oranges at the store for fruit salad. Owen bought three times as many apples and twice as many or
    9·2 answers
  • A mountain climber reached an elevation of 1,600 feet above sea level. Which number line represents all locations below the clim
    8·2 answers
  • An Olympic archer is able to hit the bull’s-eye 80% of the time. Assume each shot is independent of the others. If she shoots 6
    12·1 answer
  • The average score on a standardized test is 500 points with a standard deviation of 50 points. What is the probability that a st
    8·1 answer
  • How do I find the volume of a cylinder?
    8·2 answers
  • Which number is represented by "C" on the number line? A) 5 B) 6 C) 7 D) 8
    12·1 answer
  • Help me y’all! Need to turn this in tonight
    13·1 answer
  • Y hat = -29.8 +2.83 <br><br>Please help me find the interpret slope!
    7·2 answers
  • 400 is 75% of what number?
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!