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3 years ago

What is the mean absolute deviation of the data set?

Mathematics

2 answers:

neonofarm [45]3 years ago

7 0

Answer:

B. 2

To find MAD, find the mean of the set, then find how far each number is from the mean. Next, find the mean of THAT set of numbers. Yea, I know it's a bit confusing... don't worry!

Find the mean of the set:

12 + 10 + 10 + 8 + 6 + 7 + 7 + 12

72 / 8

9

Find how far each number is from 9:

12 - 9 = 3

10 - 9 = 1

9 - 8 = 1

9 - 6 = 3

9 - 7 = 2

12 - 9 = 3

Find the mean of that number set:

{3, 1, 1, 1, 3, 2, 2, 3}

3 + 1 + 1 + 1 + 3 + 2 + 2 + 3

16 / 8

2

So the answer is 2!

Not so hard after all :D

poizon [28]3 years ago

6 0

Answer is 9. how you get this is u add all the numbers together and then divide it by how many number there are.

so for this i added (12+10+10+8+6+7+7+12) all together and i got 72. there are 8 numbers so i divided 72 by 8.

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What is the length of BC , rounded to the nearest tenth?

Arte-miy333 [17]

Step $1$

In the right triangle ADB

Find the length of the segment AB

Applying the Pythagorean Theorem

$AB^{2} =AD^{2}+BD^{2}$

we have

$AD=5\ units\\BD=12\ units$

substitute the values

$AB^{2}=5^{2}+12^{2}$

$AB^{2}=169$

$AB=13\ units$

Step $2$

In the right triangle ADB

Find the cosine of the angle BAD

we know that

$cos(BAD)=\frac{adjacent\ side }{hypotenuse}=\frac{AD}{AB}=\frac{5}{13}$

Step $3$

In the right triangle ABC

Find the length of the segment AC

we know that

$cos(BAC)=cos (BAD)=\frac{5}{13}$

$cos(BAC)=\frac{adjacent\ side }{hypotenuse}=\frac{AB}{AC}$

$\frac{5}{13}=\frac{AB}{AC}$

$\frac{5}{13}=\frac{13}{AC}$

solve for AC

$AC=(13*13)/5=33.8\ units$

Step $4$

Find the length of the segment DC

we know that

$DC=AC-AD$

we have

$AC=33.8\ units$

$AD=5\ units$

substitute the values

$DC=33.8\ units-5\ units$

$DC=28.8\ units$

Step $5$

Find the length of the segment BC

In the right triangle BDC

Applying the Pythagorean Theorem

$BC^{2} =BD^{2}+DC^{2}$

we have

$BD=12\ units\\DC=28.8\ units$

substitute the values

$BC^{2}=12^{2}+28.8^{2}$

$BC^{2}=973.44$

$BC=31.2\ units$

therefore

the answer is

$BC=31.2\ units$

8 0

3 years ago

Read 2 more answers

CAN SOMEONE PLEASE HELL ME WITH THIS PROBLEM? THANK YOU!!!

Verizon [17]

Answer:

Step-by-step explanation:

The reference angle is always the smallest angle with the x-axis.

The nearest x axis is at 0 or another name for 0 is 360

360 -289 = 71

The reference angle is 71

8 0

2 years ago

Which equation is an identity? (Can someone explain to me how they got their answer, I don't get this.)

Greeley [361]

5w + 8 - w = 6w - 2(w -4).

Let's reduce the equation on the left:

4w + 8; (1)

and now let's reduce the equation on the right

6w - 2w +8 = 4w +8 (2).

We notice that (1) ≈ (2), and this is the only IDENTITY

7 0

2 years ago

£70 is divided between Natasha, Richard & Stephen so that Natasha gets twice as much as Richard, and Richard gets three time

Korvikt [17]

The share of Natasha is £ 42

Solution:

£70 is divided between Natasha, Richard & Stephen

Total amount = 70

Let the share of natasha be "x"

Let the share of richard be "y"

Let the share of stephen be "z"

Natasha gets twice as much as Richard

x = 2y ------ eqn 1

Richard gets three times as much as Stephen

y = 3z

$z = \frac{y}{3}$ ----- eqn 2

Total amount = 70

share of natasha + share of richard + share of stephen = 70

x + y + z = 70

Substitute eqn 1 and eqn 2

$2y + y + \frac{y}{3} = 70\\\\\frac{6y+3y+y}{3} = 70\\\\10y = 210\\\\y = 21$

Substitute y = 21 in eqn 1

x = 2y = 2(21) = 42

x = 42

Thus natasha gets £ 42

6 0

3 years ago

Methods for graphing lunear equations

Flura [38]

Answer:

Step-by-step explanation:

The first method is by plotting points and then dreaming a line through the points. The second is by using the y intercept and slope the third is applying transformation to the identity function. F(x)=x(x)=x

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3 years ago