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
Marta_Voda [28]
2 years ago
10

What is the mean absolute deviation and population standard deviation of this data set? 1, 4, 6, 7, 9, 9

Mathematics
1 answer:
Alekssandra [29.7K]2 years ago
5 0

Answer:

a)2.33

b) 2.83

Step-by-step explanation:

What is the mean absolute deviation and population standard deviation of this data set? 1, 4, 6, 7, 9, 9

Step 1

Find the Mean

n = 6

Mean = Sum of values/Number of value

= 1 +4 + 6 +7 + 9+ 9/6

= 36/6

= 6

a) Mean Absolute Deviation

Formula

= |x - Mean|/n

= | (1 - 6)+(4 - 6) + (6 - 6)+(7 - 6)+ (9 - 6) + (9 - 6)|/6

= 5 + 2 + 0 + 1 + 3 + 3/6

= 14/6

= 2.3333333333333

Approximately = 2.33

b) Population Standard deviation

Formula

=√(x - Mean)²/n

= √ (1 - 6)²+(4 - 6)² + (6 - 6)² +(7 - 6)² + (9 - 6)² + (9 - 6)²/6

= √25+ 4+0+ 1+ 9+9/6

= √48/6

= √8

= 2.828427125

Approximately = 2.83

You might be interested in
Whats the answer to log <img src="https://tex.z-dn.net/?f=log_%7Bx%2B2%7D%20%289x%29%20%3D2" id="TexFormula1" title="log_{x+2} (
lyudmila [28]

Answer:

x= 1, 4

Step-by-step explanation:

log_{x+2} (9x) =2\\\\9x = (x+2)^2 \\\\(x+2)^2 - 9x = 0\\\\x^2 +4x + 4-9x = 0\\\\x^2 - 5x +4= 0\\\\x^2 - 4x-x+4=0\\\\x(x-4)-1(x-4)=0\\\\(x-4)(x-1)=0\\\\x-4 =0\: or\: x - 1=0\\\\x = 4\: or\: x = 1\\\\x = 1,\: 4

4 0
2 years ago
65 POINTS PLEASE HELP
miskamm [114]

Answer:

        1  

= -----------

   6(x + 7)

Step-by-step explanation:

3x - 21      x^2 - 49

----------- ÷ -------------

18x - 18        x - 1

3x - 21          x - 1

----------- ×  -------------

18x - 18       x^2 - 49

Factor the top left:

3x - 21  = 3(x - 7)

Factor the bottom left:

18x - 18 = 18(x - 1)

Factor the new bottom right:

x^2 - 49 = (x + 7)(x - 7)

Multiply and simplify the faction:

3(x - 7)            x - 1

----------- ×  -----------------

18(x - 1)       (x + 7)(x - 7)

        1  

= -------------

   6(x + 7)

6 0
3 years ago
Read 2 more answers
Find the value of each measure.
zloy xaker [14]

The two congruent base angles tell us that this is an isosceles triangle, meaning the triangle has two congruent sides. Therefore, we can set these two expressions equal to each other and solve from there.

15x + 7 = 23x - 17

7 = 8x - 17

8x = 24

x = 3

Side = 15(3) + 7 = 45 + 7 = 52

Hope this helps!

4 0
2 years ago
The CPU of a personal computer has a lifetime that is exponentially distributed with a mean lifetime of six years. a) What is th
amm1812

Answer: Our required probability is 0.39.

Step-by-step explanation:

Since we have given that

X be the exponentially distributed with mean life = 6 years

So, E[x]=6

\dfrac{1}{\lambda}=6\\\\\lambda=\dfrac{1}{6}

So, our cumulative distribution function would be

F(x)=1-e^{-\lambda x}

We need to find the probability that the CPU fails within 3 years.

P(X

Hence, our required probability is 0.39.

7 0
3 years ago
What is the equation of the line that passes through the point (5,3) and has a slope of -1/5 ?
deff fn [24]

Answer: y=-1/5x+4

Step-by-step explanation: use the equation y=mx+b (x,y)->(5,3) 5 is an x value and 3 is a y value so you want to plug in these values into the equation. 3=-1/5(5)+b. We already know our slope so just plug it into m. Now multiply -1/5 and 5 which is -1. 3=-1+b you want to isolate b so you can find the intercept. Add one to both sides so it cancels out. 4=b we found our y-intercept so we can write the equation now. y=-1/5x+4

6 0
1 year ago
Other questions:
  • If your giving a customer a 10% off discount on a sale of 10.92,what would the discount be?
    13·1 answer
  • Roberto shares a bag of almonds with 2 friends. He shares 1/8 bag with Jeremy and 2/8 bag with Emily. He eats 3/8 bag of the alm
    10·1 answer
  • The length of a rectangle is 3 m longer than its width. if the perimeter of the rectangle is 42 m , find its area.
    9·1 answer
  • A grid that represents 1 whole , what would you shade for 0.4 and 0.04? 100 squares in rows of 10.
    12·1 answer
  • Explain how you would graph the point (2,-6) and which quadrant it would be in.<br> Nour answer
    14·1 answer
  • What is the value of h?
    15·2 answers
  • During migration 450000 sandhill cranes stop rest in nebraska. about 0.6% of these cranes also stop in to rest in oregon. about
    14·1 answer
  • Help me on question 14 please
    10·1 answer
  • Can someone please answer a-d I have 5 mins!!!!<br> 6 points and Brainly:)
    7·1 answer
  • phineas has more jolly ranchers than alan. if alan has 10 jolly ranchers how many do they have in total
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!