What is the mean deviation of 8 9 12 15 16 20?

Answers

Answer 1

8 is the required mean deviation of the given data set 8, 9, 12, 15, 16, 20, 24, 30, 32, 34.

What is the mean deviation?

The average of the absolute deviations from a central point makes up the average absolute deviation of a data collection.

It is a statistical summary of statistical variability or dispersion.

So, the sum of all the values:

8 + 9 + 12 + 15 + 16 + 20 + 24 + 30 + 32 + 34 = 200

A number of observations:

= 10

Formula: Mean = (sum of all observations)/(Total number of observations)

Now, calculate using the formula as follows:

Mean = (sum of all observations)/(Total number of observations)

Mean = (200 / 10)

Mean = 20

Now, we must determine how far the provided values are from the mean.

20 - 8 = 12

20 - 9 = 11

20 - 12 = 8

20 - 15 = 5

20 - 16 = 4

20 - 20 = 0

24 - 20 = 4

30 - 20 = 10

32 - 20 = 12

34 - 20 = 14

Formula:

Mean deviation = (sum of the distance of each value from mean) / (Total number of observations.)

Sum of each value's deviation from the mean = 12 + 11 + 8 + 5 + 4 + 0 + 4 + 10 + 12 + 14 = 80

Mean deviation = 80 / 10 = 8

Therefore, 8 is the required mean deviation of the given data set 8, 9, 12, 15, 16, 20, 24, 30, 32, 34.

Know more about the mean deviation here:

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Complete question:
What is the mean deviation of the data:8,9,12,15,16,20,24,30,32,34?​


Related Questions

A XYZ is an equilateral triangle.
X
2
3
Z
Y
What is the measure of Z 2?
HURRY AND NO LINKS

Answers

Answer:

The value of the angle is 60 degrees

Step-by-step explanation:

Here, we want to find the value of the angle marked 2

From the question, we can see that we have three marked interior angles

These are the angles 1, 2 and 3

Mathematically, the interior angles of an equilateral triangle are equal

This means that each of the interior angle of an equilateral triangle measures 60 degrees

Hence, this means that the value of the angle marked 2 is 60 degrees

can you help me with this​

Answers

Answer:

p(x - 4) = x³ - 12x² + 48x - 69

Step-by-step explanation:

To evaluate p(x - 4), substitute a = x - 4 into p(a), that is

p(x - 4) = (x - 4)³ - 5

            = (x - 4)(x - 4)(x - 4) - 5 ← expand 2nd/ 3rd factors using FOIL

            = (x - 4)(x² - 8x + 16) - 5 ← distribute parenthesis

            = x³ - 8x² + 16x - 4x² + 32x - 64 - 5 ← collect like terms

           = x³ - 12x² + 48x - 69

The parent function of a quadratic equation is vertically stretched by a factor of 2, then translated 4 units left and one unit down

Answers

Answer:

[tex]f"'(x) = 2(x-4)^2 - 1[/tex]

Step-by-step explanation:

Given

[tex]f(x) = x^2[/tex] --- the quadratic function

Vertically stretched by 2

Translation: [tex]4\ units[/tex] left and [tex]1\ unit[/tex] down

Required

Determine the new function

[tex]f(x) = x^2[/tex]

The rule for vertical stretch is:

[tex](x,y) \to (x,ay)[/tex]

In this case:

[tex]a = 2[/tex]

So, we have:

[tex]f(x) = x^2[/tex]

[tex]f'(x) = a * f(x)[/tex]

[tex]f'(x) = a * x^2[/tex]

Substitute: [tex]a = 2[/tex]

[tex]f'(x) = 2 * x^2[/tex]

[tex]f'(x) =2x^2[/tex]

Translation: 4 units left

The rule is:

[tex](x,y) \to (x - c,y)[/tex]

In this case: [tex]c =4[/tex]

So, we have:

[tex]f"(x) = 2(x - 4)^2[/tex]

Translation: 1 unit down

The rule is:

[tex](x,y) \to (x,y-d)[/tex]

In this case, [tex]d=1[/tex]

So, we have:

[tex]f"'(x) = f"(x) - 1[/tex]

[tex]f"'(x) = 2(x-4)^2 - 1[/tex]

Find the equation of a line that is perpendicular to 4x+6y=1 and that has a greater intercept to the line 2x+3y=18

Answers

Answer:

The equation of the the line that is perpendicular to 4·x + 6·y = 1 and that has a greater intercept to the line 2·x + 3·y = 18 can be 2·y - 3·x = 14

Step-by-step explanation:

The line which is perpendicular to the required line = 4·x + 6·y = 1

The line with which the required line has a greater intercept = 2·x + 3·y = 18

Solution;

The relationship between the slope, m₁, of a straight line, y = m₁·x + c₁ perpendicular to another straight line, y = m₂·x + c₂, with slope m₂ is given as follows;

m₁ = -1/m₂

Rewriting the equation of the given line in slope and intercept form gives;

4·x + 6·y = 1

6·y = 1 - 4·x

y = 1/6 - 4·x/6 = 1/6 - 2·x/3 =  1/6 - (2/3)·x

∴ y = 1/6 - (2/3)·x

Therefore, the slope, 'm₁', of the line y = 1/6 - (2/3)·x, is m₁ = -(2/3)

The slope of the perpendicular line, is therefore, m₁ = -1/m₂

∴ m₂ = -1/m₁

m₂ = -1/(-(2/3)) = 3/2

The intercept of a straight line of the form y = m·x + c is 'c'

The intercept of the line 2·x + 3·y = 18 is obtained by rewriting the equation of the line in slope and intercept form as follows;

2·x + 3·y = 18

y = 18/3 - (2/3)·x = 6 - (2/3)·x

y = 6 - (2/3)·x = -(2/3)·x + 6

y = -(2/3)·x + 6

By comparing the above equation to the equation, y = m·x + c, we have;

c = 6

The intercept of the line y = -(2/3)·x + 6, which is the same line as 2·x + 3·y = 18 is 6

∴ The intercept of the required line, c₂ > 6

The equation of the required  line in slope and intercept form, y = m·x + c, can therefore be;

y = (3/2)·x + 7

By multiplying by 2, we get;

2·y = 3·x + 14

∴ The equation of the line can be 2·y - 3·x = 14.

yall some hot cheetos with some fresh lime juice and Tajin be bussin P.S im eating some right now tehheee

what yall fav snack combo

Answers

Answer:

ruffles classic + those two bite cupcakes literally best thing to exist

Step-by-step explanation:

Answer:

Honestly, twinkies with twinkies

Step-by-step explanation:

#WhyNot

Who can help me with my homework for free

Answers

text me off of here ................

Answer:

me ig

Step-by-step explanation:

I know the answer is 825 but what is the constant of proportionality??

Answers

Answer:

The constant of proportionality is the ratio between two directly proportional quantities. Two quantities are directly proportional when they increase and decrease at the same rate.

Step-by-step explanation:

What is the Y-intercept of the line shown above

Answers

Cant see the graph dude.

x2-3x-2=0 by Formula method​

Answers

Answer:

Answer with steps........

Math equations giving Brainliest

Answers

You still need help ?

Which is the most accurate way to estimate 25% of 14?

A: 2/3 x 12
B: 1/4 x 12
C: 3/4 x 12
D: 1/2 x 12

Answers

Answer:

2/3 x 12=8

1/4 x 12= 3

3/4 x 12 =9

1/2 x 12 = 6

if your not good with percentages, i suggest you should go...
25% of ______ is 15
70% of 30 is ______
What % is 15 of 50?
15% of ______ is 6
40% of 30 is _____
LAST ONE!!!
What % is 40 of 50?
BONUS! (I'm good at these so its oppional)
3 / 1 1/6 =

Answers

25% of 60is 15
70% of 30 is 21
What % Is 15 of 50= 7.5
15% of 50 is 7.5
15% of 40 is 6
40% of 30 is 12
40% of 50 is 20

HELP URGENT PROBLEM IS IN THE PICTURE || SHOW YOUR WORK PLS ILL ADWQARD BRAINLEST

Answers

Answer:

19.550

Step-by-step explanation:

Sorry if I am wrong.....

find 5 rational number between 2/-7 and 5/6​

Answers

Answer:

-11/42, -10/42, 10/42, 11/42, 12/42

Step-by-step explanation:

First of let's find the LCM of the denominators.

LCM of 6 and 7 is 42

Thus, -2/7 can also be expressed in terms of 42 as denominator as; -12/42

Similarly, 5/6 can also be expressed in terms of 42 as denominator as; 35/42

Thus, any five rational numbers could come in the form of the numerator being between -12 to 35 with the denominator being 42.

Thus, five rational numbers between -2/7 and 5/6 are;

-11/42, -10/42, 10/42, 11/42, 12/42

Ali's mom filled the cookie jar with 7 chocolate chip cookies, 6 peanut butter cookies, and 2 raisin cookies. She filled the candy jar with 14 peppermints and 12 caramels. If Ali randomly pulls one cookie and one candy from each jar, what is the probability that she pulls a raisin cookie and a peppermint?

Answers

Answer:

Probability: 131/195

Step-by-step explanation:

Total cookies:

7 + 6 + 2  = 15

Total candies:

14 + 12 = 26

Probability of raisin:

2/15

Probability of peppermint:

14/26 = 7/13

Probability of both:

2/15 + 7/13

131/195

Baking Brownies
A brownie recipe needs one cup of sugar for every 1⁄2 cup of flour to make a batch of cookies. To make multiple batches, we represent the relationship between flour and sugar with the function f = 1⁄2 s where f is the number of cups of flour and s the number of cups of sugar. What graph represents this relationship?

Answers

Answer:

A

Step-by-step explanation:

A because it is the only one the recipe calls for 1 cup of sugar and 1/2 cup of flour, the point is in the middle but also on one.

Please help me with this homework please

Answers

Answer:

x = 15

Step-by-step explanation:

x² = 12² + 9²

x² = 144 + 81

x² = 225

x = √225

x = 15

your answer is x=15 hope that helped

What’s the answer?
Needed now

Answers

I enliven to 50 I believe 340

Cynthia wants to buy a round magnetic photo frame for her locker. The radius of the frame is 9cm. What is the circumference of the frame in terms of π (pi) .

Answers

Answer:

18cm

Step-by-step explanation:

it should be 18 cm, pretty much 9x2 haha

Approximately 3 x 10° people live in the USA.
In the world of 100 people, how many would live in the USA?

Answers

Answer:

Step-by-step explanation:

Divide the US population by the world population:

328,200,000/7,674,000,000 = 0.0428

Multiply 0.0428 with 100:

0.0428 x 100 = 4.28

Approximately 4 out of 100 people in the world would live in the USA.

Estelle tried to evaluate the expression 27 - (8 - 3) x 4. Here is her work:
27 - (8 - 3) x 4
= 27 - 5 x4
Step 1
= 22 x 4
Step 2
= 88
Step 3
Is Estelle's work correct?
No, Estelle made a mistake in Step 1. Estelle should have multiplied instead of
subtracting. The order of operations says to multiply before you subtract.
No, Estelle made a mistake in Step 2. Estelle should have multiplied before
she subtracted. The order of operations says to multiply before you subtract.
Yes, Estelle's work is correct.

Answers

Answer:

No, Estelle made a mistake in step 2

Step-by-step explanation:

Find the height of the pyramid.

Answers

Answer:

hight is 158

Step-by-step explanation:

A 12 foot ladder is leaning against a wall and the foot of the ladder is 5 feet away from the wall. What is the angle between the ground and the ladder

Answers

Answer:

65.38degrees

Step-by-step explanation:

Given the following

Length of ladder = 12foot = hypotenuse

Distance of the ladder from the wall = 5ft = adjacent

Required

Angle between the ground and the ladder theta

Using the SOH CAH TOA identity

Cos theta = adj/hyp

Cos theta = 5/12

Cos theta = 0.41667

theta = arccos(0.41667)

theta = 65.38 degrees

Hence the angle between the ground and the floor is 65.38degrees

Someone plz help!! Plz read the question

Answers

Answer:

preferred

ability

extraordinary

parading

playing

squeaky clean

occasion

immediately


If 5x-3=3x+5, what is the value of 2X-8? 5

Answers

Answer:

5x-3=3x+5

5x-3x=5+3

2x=8

x=8/2

x=4

Therefore,

Value of 2x-8

Substitute the value of x

2(4)-8

8-8=0

If you are helped with my answer pls tag me brianliest

I really want it

Plss

THANK you.....

7 students drew were 6, 4, 5, 7, and 8. What is the mean height of the triangles?

Answers

489293954922994499349393

Answer:6

Step-by-step explanation: for mean you add up the heights and divide it by the amount of numbers there are

True or False: A sector of a circle with a measure of 36" and radius of 12 cm has an arc length of about 15 cm. O True O False​

Answers

Answer:

The answer of this question is False


Find the value of x.

Answers

x=5
x=20
x=142
:))))))))
The answer is 0.5!

Explanation

consider the function below
f(x) = x^2 - 6x + 5

plot the x-intercept(s), y-intercept,vertex, and axis of symmetry for the function. please i need a answer ​

Answers

X-intercept (5,0),(1,0)

Y-intercept (0,5)

Vertex (3,-4)

Axis of Symmetry x=3

What is greater or are they equal
1. 8.13 or 8.4
2. 0.004 or 0.05
3. 0.4repeating or 0.4

Answers

Answer:

Step-by-step explanation:

8.13<8.4

.004<.05

.4 repeating>.4

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