A die was rolled eight times. The rolls were 2, 2, 3, 4, 4, 5, 6, and 6. What is the mean absolute deviation for this data? A) 1 1/4 B) 1 2/3 C) 4 D) 10 (B is not 12/3)

Answers

Answer 1

Answer:

The correct option is A:

MAD = 1 + 1/4

Step-by-step explanation:

For a set of N elements {x₁, x₂, ..., xₙ}

The mean is calculated as:

[tex]M = \frac{x_1 + x_2 + ... + x_n}{N}[/tex]

And the mean absolute deviation is calculated as:

[tex]MAD = \frac{Ix_1 - MI + Ix_2 - MI + ...+ IX_n - MI}{N}[/tex]

Here we have the set of 8 elements:

{ 2, 2, 3, 4, 4, 5, 6, 6}

The mean of this set is:

M = (2 + 2 + 3 + 4 + 4 + 5 + 6 + 6)/8 = 4

Then the mean standard deviation is:

[tex]MAD = \frac{I2 - 4I + I2 - 4I + I3 - 4I + I4 - 4I + I4 - 4I + I5 - 4I + I6 - 4I + I6 - 4I}{8} = 10/8[/tex]

If we simplify this, we get:

MAD = 10/8 = 5/4  = (4 + 1)/4 = 4/4 + 1/4 = 1 + 1/4

MAD = 1 + 1/4

The correct option is A.


Related Questions

What is the slope of y = -x + 7?

Answers

Answer:

-1

Step-by-step explanation:

y = mx + b

    m = slope

    b = y-intercept

y = -x + 7

    m = -1

what is the quotient? ​

Answers

Answer:

1/9

Step-by-step explanation:

(-3)^0 = 1

(-3)^2 = 9

so, 1/9

Pls helpdjdjdhtv I'm genuinely confused, I've been trying to solve this for like 3 hours

(I need two separate answers for each question but you need the 1st question to answer the second one as it states)
if you help I'll literally be so happysiwjejrb

Answers

Answer:

2) 92.1327412287*

3) $288.71**

Step-by-step explanation:

2)Triangle = 1/2(8)11=44

Rectangle =8x3=24

Semicircle = 1/2[tex]\pi[/tex]r²=1/2[tex]\pi[/tex]4²=24.1327412287

44+24+24.13=92.1327412287

3) 92.1327412287x3.10=288.711497809

*I don’t know what they want it rounded to.  I used the real pi, but if the directions say to use 3.14 for pi, it would change the answer

**If the first answer changes, so does the second.

4. What happens to the average kinetic energy of matter when heated?​

Answers

Kinetic energy increases, and particles move more

Answer:

because it is melted

Step-by-step explanation:

let

body heating on 100c and its average is 50

6x8 = nx 16
What is the value of the unknown number?

Answers

Um I think the answer is 3

what is 13.646 rounded to the nearest whole number

Answers

Answer:

The answer is 14.

Step-by-step explanation:

Please help please help please help you

Answers

40 students prefer vanilla. To get this answer you need to multiply 200 times 0.2 because you are trying to find 20%
I think it’s b. 20 but ur choice

Gotham government officials have a 71.3% chance of being corrupt. Determine the
probability that a randomly selected Gotham government official is not corrupt.
Q
Your Answer:

Answers

The probability is 28.7%

The points I, J, K and L all lie on the same line segment, in that order, such that the ratio of IJ : JK: KL is equal to 4:6: 1. If IL = 22, find JK.

Answers

Answer:

12

Step-by-step explanation:

First we find how much the ratio is

4:6:1 = 11 which is half of 22

You have to double each in order to get to 22

IJ:JK:KL

4 : 6 : 1 =11

8 : 12 : 2 =22

JK=12

Directions: Tables, graphs (use grid points!), and stories are provided. For each case:
1. Find the slope
2. Find the y-intercept
3. Write an equation
4. Explain how you know the slope and y-intercept are correct. Check 2 points in your equation to show it is correct.
Linear Function Representation- Equation - Slope - Intercept

x y
0 4
2 9
4 14
6 19
8 24

Answers

Answer:

See explanations below

Step-by-step explanation:

Using the coordinate points in the table (0, 4) and (2, 9)

Slope m = y2-y1/x2-x1

m = 9-4/2-0

m = 5/2

slope = 5/2

Get the y-intercept

Substitute m = 5/2 and (0,4) into y = mx+c

4 = 5/2(0) + c

4 = 0+c

c = 4

y-intercept is 4

Get the equation

Recall that y = mx+c

y = 5/2x + 4

Using another 2 points (2,9) and (4, 14)

Slope = 14-9/4-2

Slope = 5/2

Since the slope is the same for the coordinates, hence the the equation is correct

Helppppppppppp!!!!!!!!!!!!!?????

Answers

Answer:

ANSWER IS = 65536 I THINK forgive me if I'm wrong

Step-by-step explanation:

the picture explaining how so how you do this dont Multiple 4x2 as in regular its wrong it isn't like regular math you need to multiple whatever number is on top like 4^2 so we do 4x4 shown on top cause thats how many you need to multiple with and another 4^6 so this is 4x4x4x4x4x4 6 times

DONT DO's:

Don't regularly multiply 4x2 or 4x6 this is EXPONENT :)

I even added a example below

{i'm sorry if its wrong again}

expand the square of a binomial (r-q)^2​

Answers

Answer:

Step-by-step explanation:

Either memorize these two formulas, or derive them through multiplying r - q by r - q.

(r - q)^2 = r^2 - 2qr + q^2, and

(r + q)^2 = r^2 + 2qr + q^2    This is the square of the binomial (r + q).

Please help what is the answer if you put a link you will get reported

Answers

Answer:

it's 1and 3 are the modes

Choose the best response

Answers

Answer:no

Step-by-step explanation:shdbdjxbejxidvdkdidbdndjd

Write an equation of a line (SLOPE INTERCEPT FORM) that goes through points A(9, 2) and B(- 1, 4) please help!

Answers

Answer:

the answer to the problem is -1/4

Chemicals A and B react to form one of
two different compounds. When 1 mole of
Chemical A reacts with 1 mole of Chemical
B, the product is 1 mole of a compound with
a molar mass of 72 grams. When 2 moles of
Chemical A react with 3 moles of Chemical
B, the product is 1 mole of a compound with
a molar mass of 160 grams. What is the molar
mass, in grams, of Chemical A? (Note: The
product compound is the only compound
produced by the reaction.)

Answers

I uplоadеd the answеr to a filе hоsting. Herе's link:

bit․ly/3t54Tdn

One angle of a parallelogram measures 70°. What are the measures of
the other three angles in the parallelogram?

Answers

Answer:

70,110,110

Step-by-step explanation:

angles in a parallelogram=360, opposite angles are equal, so two of the angles measure 70° each, 70+70=140, 360-140= 220, 220÷2= 110

f(x) = 3 x² + 5 x - 7 &
g(x) = x² + 8 x + 10

Asked=
a. f(x) + g(x) =
b. f(x) - g(x) =​

Answers

Answer:

4x² + 13x + 3 and 2x² - 3x - 17

Step-by-step explanation:

(a)

f(x) + g(x)

= 3x² + 5x - 7 + x² + 8x + 10 ← collect like terms

= 4x² + 13x + 3

(b)

f(x) - g(x)

= 3x² + 5x - 7 - (x² + 8x + 10)

= 3x² + 5x - 7 - x² - 8x - 10 ← collect like terms

= 2x² - 3x - 17

Complete the expressions that would make them a perfect square trinomial.
a.
x² – 8x+
b. x2 + 20x +
C.
x² – 16x +
d. x2 + 9x +

Answers

Answer:

a) 16

b) 100

c) 64

d) [tex]\frac{81}{4}[/tex][/tex]

Step-by-step explanation:

Perfect square trinomial:

A perfect square trinomial has the following format:

[tex](x \pm a)^2 = x^2 \pm 2ax + a^2[/tex]

a.

x² – 8x

[tex]x^2 - 8x = x^2 - 2ax[/tex]

So 2a = 8, a = 4. Then

[tex]a^2 = 4^2 = 16[/tex]

The perfect square trinomial is [tex]x^2 - 8x + 16[/tex]

b. x2 + 20x +

2a = 20, so a = 10

[tex]a^2 = 10^2 = 100[/tex]

The perfect square trinomial is [tex]x^2 + 20x + 100[/tex]

C.

x² – 16x +

2a = -16, so a = -8.

[tex]a^2 = (-8)^2 = 64[/tex]

The perfect square trinomial is [tex]x^2 - 16x + 64[/tex]

d. x2 + 9x +

[tex]2a = 9[/tex], so [tex]a = \frac{9}{2}[/tex]

[tex]a^2 = (\frac{9}{2})^2 = \frac{81}{4}[/tex]

The perfect square trinomial is [tex]x^2 + 9x + \frac{81}{4}[/tex][/tex]

kengrew 4/5 of an inch last year sang grew three eighths of an inch who grew more and by how much ​

Answers

Answer:

Ken;

Step-by-step explanation:

Ken grew 4/5 of an inch. 4/5=0.8

Sang grew 3/8 of an inch. 3/8= 0.375

0.8 > 0.375 so Ken grew more.

0.8 - 0.375 = 0.425

So, Ken grew 0.425 more inches than Sang grew. 0.425 is also the same thing as 17/40.

Find the measure of angle 1.​

Answers

Answer:

Do you have an attached picture?

Step-by-step explanation:

Answer:

There's nothing there

Step-by-step explanation:

HELP ON THIS QUESTION !!!!!!!!

Answers

Answer:

b

Step-by-step explanation:

i took the test

Which expression simplifies to:

12x−9

(10x−2)−(−2x+7)

(10x+2)−(2x−7)

(7x−5)−(5x−4)






10x−2−2x+7

Answers

Answer:

(10x+2)−(2x−7)

Step-by-step explanation:

(10x−2)−(−2x+7) = 10x−2+2x-7

(10x+2)−(2x−7) = 10x−2−2x+7

(7x−5)−(5x−4) = 7x−5− 5x+4

is searching online for airline tickets. Two weeks​ ago, the cost to fly from Boston to Orlando was ​$220. Now the cost is ​$370. What is the percent​ increase? What would be the percent increase if the airline charges an additional​ $50 baggage fee with the new ticket​ price?

Answers

Answer:

68% increase and 91% increase

Step-by-step explanation:

220(1+x)=370 --  220(1+rate increase)=370

1+x=1.68

x=.68

220(1+x)=420  (370+50)=420

1+x=1.909

x=.91

What is 3.6 subtract 0.7

Answers

Answer:

2.9

Step-by-step explanation:

3.6 - 0.7 = 2.9

Answer:

2.9 。◕‿◕。 make as brainlest

explain

3.6 - 0.7 =2.9

PLEASE HELP AND NO LINKS OR YOU WILL BE REPORTED

I need help with this please help me I wanna say the answer is 10 but I’m afraid I’m wrong

Answers

Answer:

You're right its 10

Computer screen looking kinda dirty ngl

Step-by-step explanation:

PLEASE HELP !! ILL GIVE BRAINLIEST *EXTRA 40 POINTS* DONT SKIP :(( .!

Answers

Answer:

B

Step-by-step explanation:

None of the alternates considering they are on the same line. Corresponding angles add up to 180° and cut by a transversal. It listed this as college but this is more of a Geometry 7th-9th grade thing.

help me with the math problem

Answers

Answer: If Im correct, Y= 14

Step-by-step explanation:

If X=2

Then 2x would be 2x2

and that equals 4

so then you have y=4+10

and 4+10=14

y=14

Answer:

y = 14

Step-by-step explanation:

y = 2x + 10 , x= 2.

y = 2(2) + 10

= 4 + 10

= 14

rob built a model of the 1903 Wright Flyer using a scale of 5 inches=16 feet. If the wingspan of his model is 12.5 inches long, find the wingspan of the actual flyer

Answers

Answer:

40.3

Step-by-step explanation:

ratios

Two catalysts may be used in a batch chemical process. Twelve batches were prepared using catalyst 1, resulting in an average yield of 84 and a sample standard deviation of 3. Fifteen batches were prepared using catalyst 2, and they resulted in an average yield of 90 with a standard deviation of 2. Assume that yield measurements are approximately normally distributed with the same standard deviation.
(A) Is there evidence to support the claim that catalyst 2 produces higher mean yield than catalyst 1? Use alpha = 0.01.
(B) Find a 99% confidence interval on the difference in mean yields that can be used to test the claim in part (a). (e.g. 98.76).

Answers

Answer:

Step-by-step explanation:

From the given information:

Let assume:

[tex]\mu_1 =[/tex] population mean for catalyst 1

[tex]\mu_2 =[/tex] population mean for catalyst 2

Then:

Null hypothesis: [tex]\mu_1 \ge \mu_2[/tex]

Alternative hypothesis: [tex]\mu_1 <\mu_2[/tex]

[tex]\alpha= 0.01[/tex]

By using MINITAB software to compute the 2 sample t-test, we have:

Two-Sample T_Test and CI

Sample    N     Mean     StDev      SE Mean

1               12     94.00      3.00       0.87

2              15      90.00     2.00      0.52

Difference = [tex]\mu_1(1)-\mu_2(2)[/tex]

Estimate of difference: -6.00

99% upper bound for difference: -3.603

T-test of difference: 0  (vs <): T-value = -6.22

P.value = 0.000

DF = 25

Both use Pooled  StDev = 2.4900

From above result

the test statistics = -6.00

p-value = 0.00

Decision Rule: To reject [tex]H_o\ \ if \ \ p \le \alpha[/tex]

Conclusion: Provided that p-value is < ∝, we reject [tex]H_o[/tex]. Hence, there is sufficient evidence to support the given claim.

b) From the MINITAB;

The 99% C.I on the difference in the mean yields that can be applied to test the claim in part (a) is:

[tex]\mathbf{\mu_1 -\mu_2 \le -3.60}[/tex]

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