how can the position of a certain value in a given set of data be described and used in solving real-life problems?

Answers

Answer 1
Statisticians often talk about the position of a value, relative to other values in a set of data. The most common measures of position are percentiles, quartiles, and standard scores (aka, z-scores).

Percentiles
Assume that the elements in a data set are rank ordered from the smallest to the largest. The values that divide a rank-ordered set of elements into 100 equal parts are called percentiles.

An element having a percentile rank of Pi would have a greater value than i percent of all the elements in the set. Thus, the observation at the 50th percentile would be denoted P50, and it would be greater than 50 percent of the observations in the set. An observation at the 50th percentile would correspond to the median value in the set.

Quartiles
Quartiles divide a rank-ordered data set into four equal parts. The values that divide each part are called the first, second, and third quartiles; and they are denoted by Q1, Q2, and Q3, respectively. The chart below shows a set of four numbers divided into quartiles.

Eight numbers: 1, 2, 3, 4, 5, 6, 7, 8
Note the relationship between quartiles and percentiles. Q1 corresponds to P25, Q2 corresponds to P50, and Q3 corresponds to P75. Q2 is the median value in the set.

While measures of central tendency, dispersion, and skewness are used often in statistics, there are other methods of characterizing or describing data distributions or portions that are commonly used as well. We will examine several of these statistical measures, some of which you may already know or have seen elsewhere.


Standard Scores (z-Scores)
A standard score (aka, a z-score) indicates how many standard deviations an element is from the mean. A standard score can be calculated from the following formula.

z = (X - μ) / σ

where z is the z-score, X is the value of the element, μ is the mean of the population, and σ is the standard deviation.

Here is how to interpret z-scores.

A z-score less than 0 represents an element less than the mean.
A z-score greater than 0 represents an element greater than the mean.
A z-score equal to 0 represents an element equal to the mean.
A z-score equal to 1 represents an element that is 1 standard deviation greater than the mean; a z-score equal to 2, 2 standard deviations greater than the mean; etc.
A z-score equal to -1 represents an element that is 1 standard deviation less than the mean; a z-score equal to -2, 2 standard deviations less than the mean; etc.

Related Questions

Kelvin made 12 blueberry muffins for the bake sale he puts 6 muffins in the box how boxes does kelvin math

Answers

If he had 12, he puts 6 of those in a single box, after that box is filled, he has six more he can put in. Kelvin has 2 boxes!

Answer:

2 your welcome and I play overwatch

David gasta el 20% de su salario en el pago de los servicios básicos de su casa del resto gasta el 50% en alimentación si al final se queda con 2000 Córdoba cuanto gana David

Answers

Answer:

Gana 6666,67 Córdoba de los cuales

gasta 3333,33 en alimentos y 1333,33 en servicios.

Step-by-step explanation:

Se queda 2000 Córdoba

Gasta el 20% de su salario para pagar los servicios básicos de su casa.

Gasta el 50% de su salario en comida.

Suponga que gana x cantidad

luego

x = 0,2x + 0,5x + 2000

x = 0,7x + 2000

x-0,7x = 2000

0,3 veces = 2000

x = 2000 / 0,3

x = 6666,67

Gana 6666,67 Córdoba de los cuales

gasta 3333,33 en alimentos y 1333,33 en servicios.

He keeps 2000 Córdoba

He spends  20% of his salary to pay for the basic services of his hous.

He spends 50% of his salary to pay on food.

Suppose he earns x amount

then

x= 0.2x+0.5x+2000

x= 0.7x+2000

x-0.7x=2000

0.3x= 2000

x= 2000/0.3

x= 6666.67

English

He earns 6666.67  Córdoba out of which

he spends 3333.33 on food and 1333.33 on services .

What is the value of x?
26°
オー
X=
[?]
Enter

Answers

273 and my proof is x is the value of 1 and the answer is 273 cause 26 degrees is the value of 273

Answer:

154 degrees

Step-by-step explanation:

A quadrilateral has the sum of the interior angles that is 360 degrees

for the tangent theorem we know that the angles where the lines intercept the circumference have a value of 90 degrees

x + 90 + 90 + 26 = 360

x + 206 = 360

x = 360 - 206

x = 154 degrees

Line A has a slope of 3/2 and passes through the point (3, 3). Line B has a slope of – 1/3 and passes through the point (-4, -2). At what point does line A intersect line B? Line Aintersects line B at the point ( , ).​

Answers

Answer:

The lines meet at (-1, -3)

Step-by-step explanation:

Line A :

[tex](x_1, y_1) = (3, 3) \ ; \ slope, \ m_A = \frac{3}{2}\\\\Equation \ of \ line \ A : (y - 3) = \frac{3}{2}(x - 3)[/tex]

                             [tex]2(y - 3) = 3(x-3)\\2y - 6 = 3x - 9\\2y = 3x - 9 + 6\\2y = 3x -3[/tex]

Line B :

[tex](x_2,y_2) = (-4, -2) \ ; \ slope , m_B = -\frac{1}{3}\\\\Equation \ of\ line \ B: (y -(-2)) = -\frac{1}{3}(x -(-4))[/tex]

                             [tex]3(y + 2) = -1(x+4)\\3y + 6 = -x -4\\3y = -x - 4 - 6 \\3y = -x - 10[/tex]

Solve for x and y from the linear equation to find where line A and line B meets :

2y = 3x - 3 => 3x - 2y = 3 ------- (1)

3y = -x - 10 => -x = 3y + 10

                => x = - 3y - 10 --------(2)

Substitute (2) in (1) : => 3(- 3y - 10) - 2y = 3

                                   -9y - 30 -2y = 3

                                       -11y = 3 + 30

                                         -11y = 33

                                            y = -3

Substitute y in (2) : => x = -3 (-3) - 10 = 9 - 10 = -1

Copy PQ to the line with an endpoint at R.

This task will be complete when you have

drawn an arc intersecting the line to create

a segment with length PQ.

Answers

Answer: Hello your question lacks some details attached below is the complete question

answer:

Place a compass at point Q , measure arc PQ Draw an arc with the compass that is equal to PQ , Place the compass at point R ,   cut through the line to the left of R with the arc in compass, Assume the new points to be P' and R be Q' ,   where P' Q' will become the new image of PQ with their end point will be R

Step-by-step explanation:

The steps required to draw an arc intersecting the line that will create a segment with length PQ are ;

Place a compass at point Q ,  measure arc PQ

Draw an arc with the compass that is equal to PQ ,  Place the compass at point R ,   cut through the line to the left of R with the arc in compass,

Assume the new points to be P' and R be Q' ,   where P' Q' will become the new image of PQ with their end point will be R

Answer:

Set the compass width to the length PQ by putting one end on P and the other and on Q

Without changing the width, move the compass so one end is on R and the other end is on the line containing R

Draw an arc across the line using R as the center

Mark the point where the arc crosses the line as point S

RS is the copied segment.

Step-by-step explanation:

A regular polygon with exterior angle of 45° is redrawn using a scale 1 : 5. If the actual length of the sides of the regular polygon is 10cm, calculate the perimeter of the scale drawing of the regular polygon.​

Answers

Answer:

16 cm

Step-by-step explanation:

"regular polygon" means all sides and angles are the same.

the sum of all exterior angles must be 360 degrees.

so, how often do 45 fit into 360 ?

2 times in 90, which in turn fit 4 times into 360, so 8 times.

the polygon has 8 corners and 8 sides.

each side is originally 10cm

so the original perimeter is 8×10 = 80 cm

now, every side is reduced to 1/5th of the original size, this also reduces the perimeter by the same factor.

=> perimeter = 80×(1/5) = 80/5 = 16 x cm

control :

applying the scaling factor of 1/5th to every side transforms every side from 10 cm to 2 cm.

we still have 8 sides.

perimeter = 8 × 2 = 16 cm

correct

If you place a 24-foot ladder against the top of a 20-foot building, how many feet will the bottom of the ladder be from the bottom of the building? Round to the nearest tenth of a foot. Delta math answer only :)

Answers

40 would be rounded to the nearest tenth

Please help me!!! I would really appreicate it but if you can't that is okay I understand :)
(MULTIPLE CHOICE)

Answers

It would be D
Because since each small square represents 2 kg. The left scale would be balanced by 10kg(2x5=10) and the left one would be 8kg(2x4=8). Therefore D would be the answer. I hope it helps)

How much growth or decay is 50(1.05)^t<100

Answers

Answer:

5% growth.

Step-by-step explanation:

1.05 = 1 + 0.05 = 1 + 5%

It is 5% growth.

PLEASE HELP ME I AM SUFFERING GREATLY

Answers

Answer:

6 hours ( i think)

Step-by-step explanation:

new crew = 12 hours, experienced crew = 6 hours

new crew + experienced crew = 12 hours and 6 hours

the help that they get together ; 12-6

URGENT PLEASE HELP ANSWER ASAP FOR BRAINLIEST !!!!!!!!!!

Answers

1/2

Hope this helps! :)

______________

Answer:

1/2

Step-by-step explanation:

you use rise/run so its  (0,1) and (2,2) you move to the right 2 points and rise 1 so its 1/2 so its 0.50

5.Stephanie and Ryan go together to a local video store. Stephanie rents two movies and three
games for a total cost of $24.30. Ryan rents three movies and one game for a total cost of
$18.25. How much does it cost to rent one movie? How much does it cost to rent one game? Show your work

Answers

Movies: $4.35. Games: $5.20

Assume movies are all $x and games are all $y to rent
2x + 3y = 24.3
3x + 1y = 18.25

Multiply second equation by 3
9x + 3y = 54.75

Subtract first equation from third equation
7x = 30.45
x = 4.35 So a movie costs $4.35 to rent

Substitute for x in equation 2
3 x 4.35 + y = 18.25
13.05 + y = 18.25
y = 18.25 - 13.05 = 5.20 so games cost $5.20 to rent

Solve for x. Assume that lines which appear tangent are tangent. X=

Answers

Answer:

x = 32

Step-by-step explanation:

(whole secant) x (external part) = (tangent)^2

(x+18) * 18 = 30^2

(x+18) * 18 = 900

Divide each side by 18

(x+18) * 18/18 = 900/18

(x+18)  = 50

Subtract 18 from each side

x+18-18 = 50-18

x=32

Answer:

50

Step-by-step explanation:

tangent-secant theorem

Solve the equation. 6g = 48 what does g equal?

Answers

Answer:

8

Step-by-step explanation:

First we need to figure out what g equals

Since 6 x 8 = 48 your answer would be 8

6 x 8 = 48

~ LadyBrain

The value of g that satisfies the equation is 8.

To solve the equation 6g = 48 and find the value of g, we can isolate the variable g by dividing both sides of the equation by 6:

6g / 6 = 48 / 6

This simplifies to:

g = 8

Therefore, g equals 8. By dividing both sides of the equation by 6, we find that when g is multiplied by 6, it results in 48. Hence, the value of g that satisfies the equation is 8.

To know more about equation:

https://brainly.com/question/10724260


#SPJ6

P(x)=1−2x2+3x+2x5 what type of polynomial is this?

Answers

There is only one x with no powers
P(x) = 3x + 7 a linear function

A backpack that normally sells for $40 is on sale for $38. Find the percent of increase or decrease. *20 POINTS* (PLS SHOW WORK)

Answers

Answer:mj,bhvb n

mnbnmb mbnmbnb

Step-by-step explanation:

Does anyone know this???

Answers

Answer:

a) 40 is the interquartile range

descriptive statistics, the interquartile range, also called the midspread, middle 50%, or H‑spread, is a measure of statistical dispersion, being equal to the difference between 75th and 25th percentiles, or between upper and lower quartiles, IQR = Q₃ − Q₁.

b).

The first thing you always need to do before estimating fractions is to round each fraction either to the nearest 0, 1/2, or 1. Example #1. Estimate 3/7 + 5/9. Notice that 3/7 is close to 1/2 and 5/9 is also close to 1/2. Therefore, an estimate for 3/7 + 5/9 is 1/2 + 1/2 = 1.

Gerry is painting a fence. He painted
of the fence in the morning and of
the fence in the afternoon. How much
of the fence has he painted in all?
Give your answer in simplest form.
of the fence
Enter Plz help

Answers

17\20 should be the correct answer

Solve the system using elimination. Show your work! (6 pts)
(7x + 10y = 11
(4x + 3y = -10

Answers

Answer:

x=-7

y=6

Step-by-step explanation:

7x+10y=11

4x+3y=-10

-3(7x+10y=11

10(4x+3y=-10

-21x-30y=-33

40x+30y=-100

19x = -133 (divide 19 on both sides)

x= -7

Now put the x in one of the original questions.

7(-7)+10y=11

-49+10y=11 (Add 49 to both sides)

10y=60 (Divide 10 on both sides)

y=6

Pleaseeeee help me!!!

Answers

Answer:

a = -1  b=0  and c=1

Step-by-step explanation:

-x^2 +0x+1

This is in the form

ax^2 +bx+c

a = -1  b=0  and c=1

You own a house with an appraised value of $300,000. Your equity in the home is $125,000. What is your mortgage balance?

Answers

Answer:

The mortgage balance is $175,000

Step-by-step explanation:

Remember:  House value = equity + mortgage.  Therefore,

                     $300,000     = $125,000 + mortgage balance

The mortgage balance is $175,000.

Identify each situation as a permutation or a combination.

1. choosing friends to invite to a party

2. choosing your top 10 favorite actors

Answers

Answer:

1. Combination

2. Permutation

Step-by-step explanation:

Permutations occur in cases where the order of something changes the arrangement (e.g. Choosing letters of a password). Combinations occur when the order of something does not matter (e.g. choosing three donut flavors).

1. Since the order of which you choose and invite your friends does not change who you've invited, this is a combination (order does not matter).

2. When ranking a top-10 list, the order of your ranking affects the ranking itself and makes a difference (order matters). Therefore, this situation is a permutation.

-42+(-17) simplified

Answers

Answer:

La respuesta es

Step-by-step explanation:

-42+(-17)=. - 59

Espero ayudarte suerte

Hi there!  

»»————- ★ ————-««

I believe your answer is:  

-59  

»»————- ★ ————-««  

Here’s why:  

⸻⸻⸻⸻

[tex]\boxed{\text{Solving the Expression}}\\\\-42+(-17)\\------------\\\rightarrow -42 +1(-17)\\\\\rightarrow -42 -17\\\\\rightarrow\boxed{-59}[/tex]

⸻⸻⸻⸻

»»————- ★ ————-««  

Hope this helps you. I apologize if it’s incorrect.  

Need help it’s due very soon and show work please ASAP !!?

Answers

Answer:

The volume of the cylinder is 125.664 cubic inches, without rounding off

the volume is 125.664

Help me ASAP please

Answers

Answer:

I think its D because if it has the parentheses then that would mean that it would go right or left

Help please and thank you...

Answers

Answer:

Its b) 55

Step-by-step explanation:

trust me,......

PLEASE HELP! Translate the following phrase into a variable expression. Use the letter d to name the variable.

…10 times as deep..

A. d + 10

B. 10d

C. d/10

D. d - 1

Answers

Answer:

B. 10d

Step-by-step explanation:

10 times d = 10d

Hope its right

can someone pls help for brainlest

Answers

Answer:

144

Step-by-step explanation:

what is the difference between the domain and the range of a function?

Answers

Answer:

The domain is all the x values of a function while the range is all the y values of a function.

Answer:

Step-by-step explanation:

The domain of a function is the set of input (x-) values for which the function is defined.  The range is the set of output (y-) values; often there are limitations.

For example, the sine function y = sin x is defined for all real x; for every input x, there is a corresponding output y.  The sine function has a limited range in that the minimum value of the sine is -1 and the max is +1.  There is no graph above y = -1 or below y = +1.

Pls Answer the first one and the second question

Answers

Answer:

here wo go with the answerrrrrrrrrrr

Answer:

(a) [tex]10\frac{13}{35}[/tex]

Step-by-step explanation:

[tex]\frac{1}{2\frac{4}{7} }+ \frac{1}{8\frac{4}{5} }+ \frac{1}{\frac{3}{7} }[/tex]

[tex]\frac{1}{\frac{18}{7} }+ \frac{1}{\frac{44}{5} }+ \frac{1}{\frac{3}{7} }[/tex]

[tex]\frac{18}{7} + \frac{44}{5} + {\frac{3}{7}[/tex]

[tex]\frac{40+308+15}{35}[/tex]

[tex]\frac{363}{35}=10\frac{13}{35}[/tex]

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