Consider the following set of data: 3, 6, 8, 15, 21, 22, 23 Define what is meant by “ measures of variation”. What is the interquartile range of data? What is the mean absolute deviation of the data?

Answers

Answer 1

Answer:

Below.

Step-by-step explanation:

A measure of variation is an estimate of the spread of the numbers.

For example the set of numbers 1 2 3 19 78 has a greater measure of variation than the set 1 2 3 5 9.

The interquartile range and the mean absolute deviation are measures of variation.

3 6 8 15 21 22 23

The median of the data is the middle number 15..

The lower quartile is 6 and the higher quartile is  22

The interquartile range is 22 - 6 = 16.

The mean absolute deviation (M.A.D.) is calculated as follows:

Mean = (3+6+8+15+21+22+23) / 7 = 98/7

= 14.

List the absolute differences from the mean

14 - 3 = 11

14-6 = 8

15-14 = 1

21-14= 7

22-14 = 8

23-14 = 9   ( all these have to be positive)

The sum of the differences is 11+8+1+7+8+9 = 44

So the MAD = 44/7 = 6.3 to nearest tenth.


Related Questions

C. How do the processes you used for
parts A and B differ? How are they the same?

Answers

Answer:

Original Medicare comes in two parts. Medicare Part A covers hospital services, skilled nursing facility care, hospice, and some home health care. Medicare Part B covers medical services, including doctor visits, preventive screenings, certain vaccinations, lab tests, and durable medical equipment.

find a9 if the geometric sequence is: 567,-189,63

Answers

Answer:

3720087

Step-by-step explanation:

Given that,

A geometric sequence : 567,-189,63

First term is : 567

Common ratio : 567/-189 = -3

The nth term of a GP is given by :

[tex]a_n=ar^{n-1}[/tex]

n = 9

So,

[tex]a_9=567\times (-3)^{9-1}\\\\a_9=3720087[/tex]

So, the 9th term of the geometric sequence is 3720087.

Simplify the following expression: 4(y + 3) − 6(y − 2) + 5

Answers

Answer:

-2y +29

Step-by-step explanation:

Answer:

-2y+29

Step-by-step explanation:


Suppose that you could replace the ordered pair
(1.4) to make the relation R (shown left) into a
function. Which ordered pair would work?
O (1,2)
(-1,4)
O (23)
(4, 15)
DONE

Answers

Answer:

This is incomplete, but i will answer it in a general way.

A function is something like y = f(x)

You can think in a function like a "machine", that eats an input (x) and transforms it into an output (y).

The functions have a rule: For all the possible inputs, the function can transform them into only one output.

This means that if we have for an input x1.

f(x1) = y1 and f(x1) = y2

So f(x) maps x1 into two different values, y1 and y2, then this is not a function.

Now, you want to change the point (1, 4) of a relationship in order to transform it into a function (so in the relation R we have two points with x = 1, and differet values of y). Then you need to choose the option that in the x-component does not have the same value that one of the other data points of the relation.

what is the gcf of of -9y^2 + 6y

Answers

Answer:

3y

Step-by-step explanation:

First find the factors of the terms.  You need to then figure out how many factors match.

-9y² = -1 · 3 · 3 · y · y

6y = 2 · 3 · y

3y is the greatest common factor.

Which of the following variables
is most likely to be used as categorical?
A) Length of a garden hose
B) Recorded rainfall for a day
C) Flower color
D) Weight of books on a shelf

Answers

Answer:

C) Flower color.

Step-by-step explanation:

Quantitative variables are things that can be measured. A garden hose's length is measured in meters or feet. You measure the rainfall for a day in millilitres or liters. The weight of books on a shelf is measured in pounds or grams.

Categorical variables are often descriptions, such as C) Flower color.

Hope this helps!

Flower colors, generated from anthocyanins, flavonoids, or carotene which draw bone, trichromats, photoreceptor cells, tri- or tetrachromats butterflies & birds, that are supersensitive, blues, as well as green.

Quantity variables are measurable items.In meters or feet is measured the time of garden plants.The precipitation is calculated in milliliters or liters for one day.Books are assessed in pounds or grams in mass in a rack.That is why categorical variables, such as Flowers color, frequently are descriptions.

Therefore, the "Option C" is the only correct answer.

Learn more:

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2+2=????????????????????????????????????

Answers

It’s 4 if you have 2 cookies and your friend gives you 2 more that makes it 4

Answer:

The answer is 4

Step-by-step explanation:

1+1+1+1=4

Compare and contrast a line and a line segment I mean how are they different, how are they alike?

Answers

Line segment is limited by two endpoints which also define one.

A Line is not limited to but only exists because of those two endpoints.

Hope this helps.

can someone help me please​

Answers

Answer:

[tex] \boxed{ \bold{ \huge{ \boxed{ \sf{ {12.56 \: {mm}^{2} }}}}}}[/tex]

Step-by-step explanation:

Given,

Radius ( r ) = 2 mm

pi ( π ) = 3.14

Finding the area of circle having radius of 2 mm

Area of circle [tex] \sf{ = \pi \: {r}^{2} }[/tex]

plug the values

⇒[tex] \sf{3.14 \times {2}^{2} }[/tex]

Evaluate the power

⇒[tex] \sf{3.14 \times 4}[/tex]

Multiply the numbers

⇒[tex] \sf{12.56 \: {mm}^{2} }[/tex]

Hope I helped!

Best regards!!

Write the equation
y + 5 = 4(x + 2)
in slope intercept form
(y mx + b).

Answers

Answer:

y = 4x + 3

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + b

Given

y + 5 = 4(x + 2) ← distribute the parenthesis

y + 5 = 4x + 8 ( subtract 5 from both sides )

y = 4x + 3 ← in slope- intercept form

A church spire casts a shadow on the level ground. At the tip of the shadow, the tip of the spire lies 25° upward. Walking 100 m closer, the tip of the spire is at an angle of 55°. What must be the height of the spire in Figure 2?

Answers

Answer:

The height of the spire must be 69.24 m

Step-by-step explanation:

The information given are;

The initial angle of elevation of the tip of the spire from the tip of the shadow = 25°

The  angle of elevation of the tip of the spire from the tip of the shadow after moving 100 m closer = 55°

The change distance moved closer to the church spire = 100 m

Let the base angles of the triangle formed by the two rays of the tip of the spire to the tip of the shadow be 25° and ∠x°

We have;

∠x° and the 55° angle of the ray from the tip of the spire to the tip of the shadow are supplementary angles (angle on a straight line)

Therefore;

∠x° = 180° - 55° = 125°

The calculated angle 125° above, the given 25° and the angle in between the two rays from the tip of the spire to the tip of the shadows are the interior angles of the triangle formed by the two rays of the tip of the spire to the tip of the shadow

Let the angle in between the two rays from the tip of the spire to the tip of the shadows = y

Therefore;

125° + y° + 25° = 180 (Angle sum theorem)

y° = 180° - (125° + 25°) = 30°

By sin rule, we have;

100/(sin (30°)) = (The length of the initial ray from the tip of the spire to the tip of the shadow before the shift)/(sin(125°))

Let the length of the initial ray from the tip of the spire to the tip of the shadow before the shift = l

100/(sin (30°)) = l/(sin(125°))

l = (sin(125°))×100/(sin (30°)) = 163.83 m

The height of the spire, by trigonometric ratio = sin(25°) × 163.83 m = 69.24 m

The height of the spire = 69.24 m.

Sarah and Homer each have a cylinder. Sarah's cylinder has a diameter of 9 cm and a height of 4 cm. Homer's cylinder has a diameter of 4 cm and a height of 9 cm. Find the surface area of Sarah's cylinder, in square centimetres. Round your answer to two decimal places. answer fast plz its urgent

Answers

Answer:

240.37 cm^2

Step-by-step explanation:

The question is on the mensuration of solids, a cylinder

Given data

height of cylinder h= 4 cm

diameter d= 9 cm

radius = d/2= 9/2= 4.5 cm

we know that the surface area of cylinder is

[tex]SA= 2\pi r h+ 2\pi r^2[/tex]

Substituting our data into the expression we have

[tex]SA= 2*3.142 *4.5* 4+ 2*3.142 4.5^2[/tex]

[tex]SA= 113.12+ 127.25\\\\SA= 240.37 cm^2[/tex]

Therefore the total surface area is 240.37 cm^2

Bottle A can hold 3L more juice than bottle B. Bottle D can hold 5L more juice than bottle A. Bottle C can hold 3L less juice than bottle A.

Answers

Answer:

This may be incomplete, i will try to answer this in a general way.

We have 4 bottles, A, B, C and D.

If A is the volume of Bottle A, B is the volume of bottle B, C is the volume of bottle C, and D is the volume of bottle D, we have that:

A = B + 3L.

D = A + 5L

C = A - 3L.

Let's solve this system the most we can (we can not fully solve the system because we have more variables than equations)

First, taking the third equation and adding 3L in both sides, we have:

C + 3L = A.

This is equivalent to the first equation, so we have that C = B.

now, we have two equations:

A = B  + 3L

D = A + 5L

We can replace the first equation into the second equation and get:

D = A + 5L = (B + 3L) + 5L = B + 8L

So bottle D can hold 8L more juice than bottle B (and because bottle B and bottle C have the same volume, bottle D can hold 8L more juice than bottle C)

Now, we can order the bottles depending on the volume:

Bottle D is the one with larger volume.

Bottle A comes next.

Bottles C and B are the smaller ones, and they are together because they have the same volume.

algebra isn’t my best subject, please help

Answers

The Distributive property states that when we have the statement a(b + c), we can "distribute" the a by multiplying a times both terms that are inside the parenthses.

So in this problem, 2(5 + 7) can be simplified by distributing the

2 through both terms that are inside the set of parenthses.

So we have (2 · 5) + (2 · 7).

Answer:

Distributive Property

Step-by-step explanation:

You are distributing the 2 to the 5 and 7. which goes from 2(5+7) to 10+14.  

f(x) = 3•2^x
h(x) = 2x - 7
h(f(2)) =

Answers

Answer:

17

Step-by-step explanation:

f(x) = 3•2^x

h(x) = 2x-7

f(2) = 3•2^2

= 3•4

= 12

h(f(2)) = 2(12) - 7

= 24 - 7

= 17

what is the smallest length that can be divided exactly into equal sections of length 5m, 8m and 12m​

Answers

Answer:

1m

Step-by-step explanation:

That would be 1 m.

1 is the only whole number which divides exactly into 5, 8 and 12.

(x+4) (x+10)
simplify​

Answers

Answer:

x^2 + 14x + 40.

Step-by-step explanation:

(x+4) (x+10)

= x(x + 10) + 4(x + 10)     ( By the Distributive Law)

= x^2 + 10x + 4x + 40

= x^2 + 14x + 40.

Answer:

x^2+14x+40

Step-by-step explanation:

xx+x*10+4x+4*10= xx+10x+4x+4*10

Then simplify

x^2+14x+40

I hope this helps!

Od=125
d) f = 120
11. Melissa is buying a sweater. The original cost of the sweater
is $18.00. The sweater is 15% off, and sales tax is 8%. How
much will the sweater cost?
a) $14.08
O b) $12.24
O c) $16.52
O d) $15.30

Answers

Answer:

Hey there!

The sweater is selling for 85% of the original price

0.85(18)=15.30

1.08(15.30)=16.52

Let me know if this helps :)

The solution is Option C.

The total cost of the sweater is $ 16.52

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the original cost of the sweater be = $ 18

Let the sales tax percentage be = 8 %

Let the discount of the sweater be = 15 %

So , the equation for the total cost of the sweater is

The cost of the sweater after discount of 15 % is = original cost of the sweater - discount of the sweater x original cost

The cost of the sweater after discount of 15 % is = 18 - ( 15/100 ) x 18

                                                                                = 18 - 0.15 x 18

                                                                                = 18 - 2.7

                                                                                = $ 15.3

Now , the cost of the sweater after sales tax of 8 % is = cost of the sweater after discount + sales tax percentage x cost of the sweater after discount

So , the equation is

The cost of the sweater after sales tax of 8 % is = 15.3 + ( 8/100 ) x 15.3

                                                                                = 15.3 + 0.08 x 15.3

                                                                                = 15.3 + 1.224

                                                                                = $ 16.524

Hence , the total cost of the sweater is $ 16.52

To learn more about equations click :

https://brainly.com/question/10413253

#SPJ2

Q1) If Q is directly proportional to P and Q = 28 when P = 4, (i) express Q in terms of P, (ii) find the value of Q when P = 5, (iii) calculate the value of P when Q = 42.

Answers

Answer: i) Q=7*P   ii) if P=5 => Q=35 iii) if Q=42 => P=6

Step-by-step explanation:

Q is directly prportional to P that means that

Q/P=k=const ( where k is the prportionality coefficient)

So k= 28/4=7

So i)  Q= 7*P

ii) Q=5*7=35 if P=5 =>Q=35

iii) P=42/7=6   if Q=42 => P=6

ANSWER FAST ...............​

Answers

Answer:

The answer is

Step-by-step explanation:

First term 8. I am a 100% sure.

Hope this helps....

Have a nice day!!!!

John has a box of nails. The box contains 65 small nails, 40 medium nails, and 45 large nails. Susan has a box of nails that has the same proportion of small, medium, and large nails as John's box. There are 176 medium nails in Susan's box. What is the total number of nails in Susan's box? ​

Answers

Answer:

The total number of nails in Susan's box is 660 nails

Step-by-step explanation:

The given parameters are;

The number of small nails in John's box = 65

The number of medium nails in John's box = 40

The number of large nails in John's box = 45

The number of medium nails in Susan's box = 176

The ratio of the nails in John's box  is given as follows;

The ratio of small nails in John's box = 65/(65 + 40 + 45) = 13/30

The ratio of medium nails in John's box = 40/(65 + 40 + 45) = 4/15 = 8/30

The ratio of large nails  in John's box = 45/(65 + 40 + 45) = 3/10 = 9/30

Given that the proportion of the nails in John's box and Susan's box are the same, we have;

The ratio of medium nails in Susan's box =  8/30

Therefore;

Where the total number of nails in Susan's box = X, we have;

8/30 × X = 176

X = 176 × 30/8 = 660 nails

The total number of nails in Susan's box = 660 nails.

Using proportions, it is found that the total number of nails in Susan's box was 660.

---------------

John had 65 + 40 + 45 = 150 nails.The proportion of medium nails is: [tex]\frac{40}{150}[/tex]Susan's box has x nails.Of those nails, 176 are medium. Thus, the proportion of medium nails out of the total in Susan's box is of: [tex]\frac[176}{x}[/tex]

---------------

Since the proportions are equal:

[tex]\frac{40}{150} = \frac{176}{x}[/tex]

[tex]40x = 150\times176[/tex]

[tex]x = \frac{150\times176}{40}[/tex]

[tex]x = 660[/tex]

The total number of nails in Susan's box was 660.

A similar problem is given at https://brainly.com/question/19905617

Write the equation of the line perpendicular to x+2y=6 that passes through (5, 8).

Answers

Answer:

y = 2x-2

Step-by-step explanation:

First find the slope of the line

x+2y=6

2y = -x+6

y = -1/2x +3

This is in slope intercept form ( y = mx+b) so -1/2 is the slope

We want a line that is perpendicular so take the negative reciprocal of the slope

- ( 1/ (-1/2)) = 2

The slope of the perpendicular line is 2

y = 2x+b

Substitute the point into the equation

8 = 2(5) +b

8 = 10+b

-2 =b

The equation of the line perpendicular is

y = 2x-2

Answer:

y = 2x - 2

Step-by-step explanation:

x + 2y = 6 can be solved for y (and thus for slope m) as follows:

    2y = -x + 6, or y = (-1/2)x + 3.  

Any new line perpendicular to this one has a slope that is the negative reciprocal of (-1/2); that would be +2.

Starting from y = mx + b,

Replace x with the given 5, y with the given 8 and m with the calculated +2:

8 = 2(5) + b, or

b = -2

and then the desired equation is

y = 2x - 2

Which of the following numbers are perfect squares? Choose all that apply. A 27 D 108 B 36 E 121 C 81 F 169

Answers

b, c, and e
6x6=36
9x9=81
11x11=108

please help on 19 and 20

Answers

Answer:

c and d

Step-by-step explanation:

Answer:

C AND D

Step-by-step explanation:

HOPE I HELPED

PLS MARK BRAINLIEST  

DESPERATELY TRYING TO LEVEL UP

✌ -ZYLYNN JADE ARDENNE

JUST A RANDOM GIRL WANTING TO HELP PEOPLE!

                     PEACE!

How can I identify witch of those numbers don’t belong with the other there 50.1 -50 over two -50.1 square root of 50?

Answers

I'm assuming you were given these four values

50.1,  -50/2, -50.1, sqrt(50)

where 'sqrt' stands for 'square root', and the slash symbol means divide or fraction.

If my assumption is correct, then the term that does not belong is sqrt(50). This is because the other values are all rational. We can express them as a fraction of two whole numbers

50.1 = 501/10-50/2 is already a fraction, no need to do any work for this one-50.1 = -501/10

But we can't do the same with sqrt(50). It is irrational. Note how 50 is not a perfect square. Your calculator will show that sqrt(50) = 7.07106781186548 and that decimal sequence goes on forever without any pattern. If you were given sqrt(49), then it would work because sqrt(49) = 7 = 7/1.

Solve |2x - 5| = 4 I dont know what you solve for

Answers

Hello!

Answer:

[tex]\huge\boxed{x = 1/2, 9/2}[/tex]

|2x - 5| = 4

Solve for the negative and positive expressions:

2x - 5 = 4

2x = 9

x = 9/2

------------

-(2x - 5) = 4

-2x + 5 = 4

-2x = -1

x = 1/2.

Therefore, the solutions are x = 1/2 and 9/2.

If y=3/5x+26 find the value of y when x=12

Answers

Answer:

46

Explanation

y = 3 /5x +26

y =?

X= 12

y=3 /5x + 26

y= 3 / 5 × 12 + 26

y = 3 / 60 + 26

y = 20 + 26

y = 46 ans

you will use 2 operations when doing algebra. true or false

Answers

Answer:true

You will be using 2 operations

Please help! ASAP!!! C:

Answers

Answer:

Equation: 5.88/3=p-0.75

The original price for apples was $1.21

Step-by-step explanation:

Equation explanation:

$5.88 divided by 3 pounds of apples = the original price per pound - the $0.75 increase in price

$5.88 for 3 pounds of apples

we divide 5.88 by 3 to see how much money it was per pound

5.88/3=1.96

subtract 1.96 from the price increase of .75

1.96-.75=1.21

what is mid point theorem​

Answers

Answer:

In geometry, the midpoint is the middle point of a line segment. It is equidistant from both endpoints, and it is the centroid both of the segment and of the endpoints.

Step-by-step explanation:

i don't have an explanation though

Answer:

The theory of midpoint theorem is used in coordinate geometry stating that the midpoint of the line segment is an average of the endpoints. Both the ‘x’ and the ‘y’ coordinates must be known for solving an equation using this theorem. The Mid- Point Theorem is also useful in the fields of calculus and algebra.

Step-by-step explanation:

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