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
Jlenok [28]
3 years ago
10

Can someone explain how to do this? i know the answer but i don't know how to work it out. Find the absolute mean deviation for

the set {x, 2x, 3x, 4x}.
Mathematics
1 answer:
harina [27]3 years ago
6 0

Step-by-step explanation:

The mean absolute deviation is:

MAD = ∑ᵢ₌₁ⁿ│xᵢ − μ│/ n

First, find the mean.

μ = (x + 2x + 3x + 4x) / 4

μ = 2.5x

Now find the mean absolute deviation:

MAD = (│x − 2.5x│+│2x − 2.5x│+│3x − 2.5x│+│4x − 2.5x│) / 4

MAD = (│-1.5x│+│-0.5x│+│0.5x│+│1.5x│) / 4

MAD = (1.5x + 0.5x + 0.5x + 1.5x) / 4

MAD = (4x) / 4

MAD = x

You might be interested in
Solve the following equation by factoring:9x^2-3x-2=0
olya-2409 [2.1K]

Answer:

The two roots of the quadratic equation are

x_1= - \frac{1}{3} \text{ and } x_2= \frac{2}{3}

Step-by-step explanation:

Original quadratic equation is 9x^{2}-3x-2=0

Divide both sides by 9:

x^{2} - \frac{x}{3} - \frac{2}{9}=0

Add \frac{2}{9} to both sides to get rid of the constant on the LHS

x^{2} - \frac{x}{3} - \frac{2}{9}+\frac{2}{9}=\frac{2}{9}  ==> x^{2} - \frac{x}{3}=\frac{2}{9}

Add \frac{1}{36}  to both sides

x^{2} - \frac{x}{3}+\frac{1}{36}=\frac{2}{9} +\frac{1}{36}

This simplifies to

x^{2} - \frac{x}{3}+\frac{1}{36}=\frac{1}{4}

Noting that (a + b)² = a² + 2ab + b²

If we set a = x and b = \frac{1}{6}\right) we can see that

\left(x - \frac{1}{6}\right)^2 = x^2 - 2.x. (-\frac{1}{6}) + \frac{1}{36} = x^{2} - \frac{x}{3}+\frac{1}{36}

So

\left(x - \frac{1}{6}\right)^2=\frac{1}{4}

Taking square roots on both sides

\left(x - \frac{1}{6}\right)^2= \pm\frac{1}{4}

So the two roots or solutions of the equation are

x - \frac{1}{6}=-\sqrt{\frac{1}{4}}  and x - \frac{1}{6}=\sqrt{\frac{1}{4}}

\sqrt{\frac{1}{4}} = \frac{1}{2}

So the two roots are

x_1=\frac{1}{6} - \frac{1}{2} = -\frac{1}{3}

and

x_2=\frac{1}{6} + \frac{1}{2} = \frac{2}{3}

7 0
2 years ago
What is the least common denominator of 4/5 - 3/4
weqwewe [10]

Answer:20 is the least common

Step-by-step explanation:

6 0
3 years ago
The ability to complete math equations, convert measurements, set timers and define words are all done from directly within the
katrin2010 [14]
The term referred to the space provided is Omnibox. This browser address bar allowed to solve math equations, convert measurement, set timers and define words. It is similar to a typical browser such as google chrome and Mozilla firefox. hope this helps
8 0
4 years ago
Read 2 more answers
I need help with this A=1/2 bh for b
NemiM [27]

A = 1/2 bh can be written as

A = bh/2.

2A = (bh/2)(2)

2A = bh

Divide both sides by h to find b.

2A/h = b

Done.

3 0
3 years ago
Read 2 more answers
Why is a financial plan important?????
mafiozo [28]
Without a financial plan, you can end up having a lot of debt. You also may not think about saving money for future expenses or how much you may need. Financial plans are very important for your future. 
8 0
3 years ago
Other questions:
  • Remove the parentheses from the following expression, and combine like terms: 3(ax + b2 – c) + 2
    5·1 answer
  • What is the perimeter of a parallelogram, if its area is 24 cm^2 and and the distances between the point of intersection of the
    5·1 answer
  • I don't understand this question
    8·1 answer
  • Kellie bought a washer and dryer from a rental center for $2,350. She makes 16 monthly payments of $203.75 with her credit card.
    10·2 answers
  • Bryce, a previous winner of the contest, made a trip of 360 miles in a 6.5 hours. At this same average rate of speed, how long w
    12·1 answer
  • A collection of dimes and quarters is worth $10.45. There are 70 coins in all. Find how many of each there are
    11·1 answer
  • Please help!! This is Urgent!!
    5·1 answer
  • Find the ordered triple to represent u in u=6w+2z if v=(4,-3,5) w=(2,6,-1) and z=(3,0,4)
    10·1 answer
  • The graph of h(x) = (x - 3)2 is a translation of the
    9·1 answer
  • Find the:<br> SLOPE =<br><br> y - Intercept=<br><br> x - Intercept=<br><br> Of the equation y=x-4
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!