istg this is ez sh.it but im a dum.b wh0re so give an explanation and i'll give you a cookie :)

Options a, b, d, and g are the correct conditions for a Binomial Distribution.

The four conditions necessary for X to have a Binomial Distribution are:

a. There are n set trials: In a binomial distribution, the number of trials, denoted as "n," must be predetermined and fixed. Each trial is independent and represents a discrete event.

b. The trials must be independent: The outcomes of each trial must be independent of each other. This means that the outcome of one trial does not influence or affect the outcome of any other trial. The independence assumption ensures that the probability of success remains constant across all trials.

d. There can only be two outcomes, a success and a failure: In a binomial distribution, each trial can have only two possible outcomes. These outcomes are typically labeled as "success" and "failure," although they can represent any two mutually exclusive events. The probability of success is denoted as "p," and the probability of failure is denoted as "q," where q = 1 - p.

g. The probability of success, p, is constant from trial to trial: In a binomial distribution, the probability of success (p) remains constant throughout all trials. This means that the likelihood of the desired outcome occurring remains the same for each trial. The constant probability ensures consistency in the distribution.

The remaining options, c, e, and f, are not conditions necessary for a binomial distribution. Option c, "Continue sampling until you get a success," suggests a different type of distribution where the number of trials is not predetermined. Options e and f, "You must have at least 10 successes and 10 failures" and "The population must be at least 10x larger than the sample," are not specific conditions for a binomial distribution. The number of successes or failures and the size of the population relative to the sample size are not inherent requirements for a binomial distribution.

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The total cost of the panels bought by Tim for the fencing is $1466.67.

For the given conditions-

The can be written as-

6 ft length  -----> $55.

For 1 foot, divide both sides by 6

1 foot ----> $55/6

for 160 ft, multiply both sides by 160

160 ft ---->  $55 x 160 /6

160 ft ---> $1466.67

Thus, the total cost of the panels for the fencing is $1466.67.

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To argue why the liberal arts are so important in education and leisure, one must discuss its Greek origin and how it is received today.

The term "liberal arts" comes from the Latin word "liberalis," which means free. It was used in the Middle Ages to refer to topics that should be studied by free people. Liberal arts refers to courses of study that provide a general education rather than specialized training. It encompasses a wide range of topics, including literature, philosophy, history, language, art, and science.The liberal arts curriculum is based on the idea that a broad education is necessary for individuals to become productive members of society. In ancient Greece, education was focused on developing the mind, body, and spirit.  

The study of the liberal arts is necessary to create well-rounded individuals who can contribute to society in meaningful ways. While the importance of the liberal arts has been debated, it is clear that they are more important now than ever before. The study of the liberal arts is necessary to develop the skills that are required in a rapidly advancing technological world.

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The probability that the customer is a good risk is 0.70 and the probability that the customer is not a poor risk is 0.957.

To calculate the probability of the customer being a good risk, we need to divide the total number of good risk customers (7732) by the total number of customers (11,102). This gives us 7732/11102 = 0.7000. To calculate the probability of the customer not being a poor risk, we can subtract the total number of poor risk customers (949) from the total number of customers (11,102). This gives us 11102-949 = 10,153. We then divide this number by the total number of customers, giving us 10,153/11,102 = 0.9571. Therefore, the probability that the customer is a good risk is 0.70 and the probability that the customer is not a poor risk is 0.9571.

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Answer:

59 degrees

Step-by-step explanation:

The total amount of degrees for a triangle must add up to 180 degrees.

74 + 47 = 121

180 - 121 = 59

Thus meaning the missing exterior angle measure is 59 degrees.

I hope this helped! :)

CAN YOU MARK ME BRAINLIEST PLEASE.

Hey there ...here is ur answer ..

Please mark me as brainliest if u find it helpful ..

Thank u

The mean, standard deviation, of the average number of moths in 30 traps is approximately 0.5 ± 0.018 and is approximately 0.5 respectively. The probability that the average number of moths in 30 traps is greater than 0.4 is approximately 0.965 ± 0.01.

The mean of the average number of moths in 30 traps can be calculated as the mean of a sample of 30 trap counts, where the mean of each sample follows a normal distribution with mean 0.5 and standard deviation 0.5/sqrt(30) (using the standard error of the mean formula). Therefore, the mean of the average number of moths in 30 traps is:

mean = 0.5 ± 0.1/sqrt(30) = 0.5 ± 0.018

So the mean of the average number of moths in 30 traps is approximately 0.5 ± 0.018.

The standard deviation of the average number of moths in 30 traps can also be calculated using the standard error of the mean formula:

standard deviation = standard error of the mean * sqrt(sample size)

standard deviation = 0.5/sqrt(30) * sqrt(30) = 0.5

So the standard deviation of the average number of moths in 30 traps is approximately 0.5.

Using the central limit theorem, we can assume that the sample mean of the 30 traps follows a normal distribution with mean 0.5 and standard deviation 0.5/sqrt(30). We want to find the probability that the average number of moths in 30 traps is greater than 0.4.

To do this, we can standardize the sample mean using the formula:

z = (sample mean - population mean) / (standard deviation / sqrt(sample size))

z = (0.4 - 0.5) / (0.5/sqrt(30)) = -1.8257

Using a standard normal distribution table or calculator, we can find the probability that Z is greater than -1.8257, which is approximately 0.965. Therefore, the probability that the average number of moths in 30 traps is greater than 0.4 is approximately 0.965 ± 0.01.

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a) The dimensions of the missing face is 10 x 5 cm.

b) The four edges that the missing face can be attached are: A, B, C and H.

The net of a given shape is the figure formed when all its surfaces are spread out on a 2 dimensional plane. The shape is reproduced when the net is folded as require.

A cuboid if a 3 dimensional shape that is produced from a rectangle. Such that it has length, width and height.

In the given net of a cuboid, it can be deduced that;

a. The dimension of the missing face is that similar to F, such that it is 10 x 5 cm.

b. The four edges that the missing face could be attached to should be A, B, C and H. This is the closed end of the cuboid.

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Answer:

Step-by-step explanation:

The equation of a linear function:

y = mx + b

m - slope

b - y-intercept

x = 3 - it's a vertical line. It's not equation of a linear function

y = 16 - it's a horizontal line. It's an equation of a linear function

where m = 0, b = 16

y = -3x + 10 - it's an equation of a linear function

where m = -3, b = 10

y = 3x² + 1 - it's a quadratic function ( x² ).

Answer:

y = 16 and y = -3x + 10

Step-by-step explanation:

hello

An expression equivalent to (5x2 + 3x + 4)-(2x2 + 1)-(7x + 3) using the fewest number of possible terms is calculated to be 3x² - 4x.

We can simplify the given expression by combining like terms. By doing so, we can obtain an equivalent expression with the fewest number of possible terms. In this case, we combine the terms with the same variable and exponent and simplify the constant terms to get the simplified expression of 3x² - 4x.

(5x² + 3x + 4) - (2x² + 1) - (7x + 3)

= 5x² + 3x + 4 - 2x² - 1 - 7x - 3 (distributing the negative sign)

= (5x² - 2x²) + (3x - 7x) + (4 - 1 - 3)

= 3x² - 4x

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The total number of possible outcomes for the math quiz is 16

3  multiple choice questions and each has 4 options. The total number of options here is

= number of question * number of options

= 4 * 3

= 12

2 true/false questions. The total number of options here is

= number of question * number of options

= 2 * 2

= 4

The number of possible outcomes

= outcome from the multiple choice question + outcome from the true/false question

= 12 + 4

= 16

Therefore the total number of outcomes from the quiz in this question is  is 16

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Answer:

32 times

Step-by-step explanation:

If you can go around 54 times for $12, then you multiply the amount of money you pay by four to get the number of times you can go around the track.

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Answer:

I would say 36 because 54 times 8 is 432 and if you divide that by 12 you get 36.

Step-by-step explanation:

The percentage of the men in the sample who have blood type O is 40.38%.

What is the percentage?

A percentage is a figure or ratio stated as a fraction of 100 in mathematics. The acronyms pct., pct., and occasionally pc are also used to indicate it, however, the percent sign is most frequently used. A % is a number without dimensions and without a standard measurement.

Here, we have

Given: The contingency table below shows the blood types of a sample of people cross-classified by sex.

We have to find the percentage of the men in the sample who have blood type o.

Total number of males = 104

Number of males who has blood type O = 42

Percentage of the males in the sample have blood type O:

= (42×100%)/104

= 40.38%

Hence, the percentage of the men in the sample who have blood type O is 40.38%.

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The correct answer is (b) The central limit theorem is applicable for the sample mean.

The condition that the population size be at least 10 times the sample size is necessary to ensure that the sample mean follows a normal distribution, as required by the central limit theorem. The central limit theorem states that the sample mean will be approximately normally distributed, regardless of the underlying population distribution, as long as the sample size is large enough. In this case, the condition is necessary to ensure that the sample size is sufficiently large for the central limit theorem to be applicable. Options (a), (c), (d), and (e) are not the correct answers because they do not directly relate to the condition that the population size be at least 10 times the sample size.

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The inequality is:

$45*x < $1200

Solving that we conclude that you can go at a maximum of 26 rounds and still pay less than in the season pass.

We know that a round of golf costs $45, so if you go to x of these rounds of golf, the total cost is given by the linear equations:

c(x) = $45*x

Now, the cost of a season pass is $1200, so if we want to find the number x such that the total cost of x rounds of golf is smaller than the season pass, then we need to solve the inequality:

$45*x < $1200

To solve it, we just divide both sides b $45.

x < $1200/$45 = 26.67

x < 26.67

So you can go at a maximum of 26 rounds and still pay less than in the season pass.

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The domain is all values of x that makes the expression defined.

Set-Builder Notation: {x| x ≤ 3 }

Interval Notation: (-∞,3]

Given the function in the question;

y = 5√(6−2x)​

To find the domain, set the radicand greater than or equal zero and solve for x.

6 - 2x ≥ 0

Subtract 6 from both sides

6 - 6- 2x ≥ 0 - 6

-2x ≥ -6

Divide both sides by -2

-2x/-2 ≤ -6/-2

x ≤ -6/-2

x ≤ 3

Therefore, the domain is;

Set-Builder Notation: {x| x ≤ 3 }

Interval Notation: (-∞,3]

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The functions obtained from the specified transformations and the rational functions indicates that we get;

Problem 3

Please find attached the graph of the function f(x) = cos(x²)/x², in the interval -3.5 ≤ x ≤ 3.5, created with MS Excel

Problem 4;

The cubic function f(x) = x·(x² - 4) is the product of x and (x² - 4)

The linear function g(x) = 2·x + 2 is the sum of the product of the input variable x and 2 and the number 2

The cubic function h(x) = 2·x³  + 3 is the product of 2 and the cube of x added to 3

Please find the graph of the functions f(x), g(x), and h(x), created with MS Excel

Please find attached the graph of the function f(g(h(x))) = 64·x⁹ + 384·x⁶ + 752·x³ + 480, created with MS Excel

Problem 5

The rational function f(x) = (3 - 2·x)⁻², takes the difference between 3 and the product of 2 and the input variable x, raising the result to the power of (-2)

Please find attached the graph of the function f(x) = (3 - 2·x)⁻² in the interval -1 ≤ x ≤ 4

Please find attached the graph of the function f(x - 2), f(2·x), 0.2·f(x) in the interval -2 ≤ x ≤ 8

Rational functions are functions that can be expressed as the ratio consisting of two polynomial functions in the form f(x) = p(x)/q(x), where p(x) and q(x) are polynomial functions.

Problem 3

Please find attached the graph of the function f(x) = cos(x²)/x². created with MS Excel

Problem 4

f(x) = x·(x² - 4), g(x) = 2·x + 2, h(x) = 2·x³ + 3

The definitions of the functions are as follows;

The function f(x) = x·(x² - 4), is a cubic function that accepts an input variable x and returns the product of x and (x² - 4)

The function g(x) = 2·x + 2 is a linear function that takes an input x and produced the sum of the product of x and 2 and the number 2 to get g(x)

The function h(x) = 2·x³ + 3, is a cubic function that takes an input variable x and produces the product of 2 and the cube of x then adding the product to 3.

Please find attached the graph of f(x), g(x), and h(x), created with MS Excel

The composite function, f(g(h(x))), can be found as follows;

g(h(x)) = 2·(2·x³ + 3) + 2 = 4·x³ + 8

g(h(x)) = 4·x³ + 6

f(g(h(x))) = (4·x³ + 8) × ((4·x³ + 8)² - 4) = 64·x⁹ + 384·x⁶ + 752·x³ + 480

Please find attached the graph of f(g(h(x))), created with MS Excel

Problem 5

The function  f(x) = (3 - 2·x)⁻² is a rational function that takes an input variable x and produces an output consisting of the square of the inverse of the difference between 3 and the product of 2 and x

Please find attached the graph of f(x) in the interval -1 ≤ x ≤ 4, created with MS Excel

f(x - 2) = f(x) = (3 - 2·(x - 2))⁻² = (7 - 2·x)⁻²

Please find attached the graph of f(x - 2), created with MS Excel

f(2·x) = (3 - 2·(2·x))⁻² = (3 - 4·x)⁻²

Please find attached the graph of f(2·x) created with MS Excel

0.2·f(x) = 0.2 × (3 - 2·x)⁻² = 0.2 × (3 - 2·x)⁻²

Please find attached the graph of the function 0.2·f(x), created with MS Excel

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(i) If f is an even function, then f(y) = 2 ∫[0,∞] f(x) cos(2πxy) dx.

(ii) If f is an odd function, then f(y) = -2i ∫[0,∞] f(x) sin(2πxy) dx.

The Fourier transform pair for a function f(x) is defined as follows:

F(k) = ∫[-∞,∞] f(x) \(e^{-2\pi iyx}\) dx

f(x) = (1/2π) ∫[-∞,∞] F(k) \(e^{2\pi iyx}\) dk

Now let's prove the given properties:

(i) If f is an even function, then f(y) = 2∫[0,∞] f(x) cos(2πxy) dx.

To prove this, we start with the Fourier transform pair and substitute y for k in the Fourier transform of f(x):

F(y) = ∫[-∞,∞] f(x) \(e^{-2\pi iyx}\) dx

Since f(x) is even, we can rewrite the integral as follows:

F(y) = ∫[0,∞] f(x) \(e^{-2\pi iyx}\) dx + ∫[-∞,0] f(x) \(e^{2\pi iyx}\) dx

Since f(x) is even, f(x) = f(-x), and by substituting -x for x in the second integral, we get:

F(y) = ∫[0,∞] f(x) \(e^{-2\pi iyx}\) dx + ∫[0,∞] f(-x) \(e^{2\pi iyx}\)dx

Using the property that cos(x) = (\(e^{ ix}\) + \(e^{- ix}\))/2, we can rewrite the above expression as:

F(y) = ∫[0,∞] f(x) (\(e^{-2\pi iyx}\) + \(e^{2\pi iyx}\))/2 dx

Now, using the definition of the inverse Fourier transform, we can write f(y) as follows:

f(y) = (1/2π) ∫[-∞,∞] F(y) \(e^{2\pi iyx}\) dy

Substituting F(y) with the expression derived above:

f(y) = (1/2π) ∫[-∞,∞] ∫[0,∞] f(x) \(e^{-2\pi iyx}\) + \(e^{2\pi iyx}\)/2 dx dy

Interchanging the order of integration and evaluating the integral with respect to y, we get:

f(y) = (1/2π) ∫[0,∞] f(x) ∫[-∞,∞] (\(e^{-2\pi iyx}\) + \(e^{2\pi iyx}\))/2 dy dx

Since ∫[-∞,∞] (\(e^{-2\pi iyx}\) + \(e^{2\pi iyx}\))/2 dy = 2πδ(x), where δ(x) is the Dirac delta function, we have:

f(y) = (1/2) ∫[0,∞] f(x) 2πδ(x) dx

f(y) = 2 ∫[0,∞] f(x) δ(x) dx

f(y) = 2f(0) (since the Dirac delta function evaluates to 1 at x=0)

Therefore, f(y) = 2 ∫[0,∞] f(x) cos(2πxy) dx, which proves property (i).

(ii) If f is an odd function, then f(y) = -2i ∫[0,∞] f(x) sin(2πxy) dx.

The proof for this property follows a similar approach as the one for even functions.

Starting with the Fourier transform pair and substituting y for k in the Fourier transform of f(x):

F(y) = ∫[-∞,∞] f(x) \(e^{-2\pi iyx}\) dx

Since f(x) is odd, we can rewrite the integral as follows:

F(y) = ∫[0,∞] f(x) \(e^{-2\pi iyx}\) dx - ∫[-∞,0] f(x) \(e^{-2\pi iyx}\) dx

Using the property that sin(x) = (\(e^{ ix}\) - \(e^{-ix}\))/2i, we can rewrite the above expression as:

F(y) = ∫[0,∞] f(x) \(e^{-2\pi iyx}\) - \(e^{2\pi iyx}\)/2i dx

Now, following the same steps as in the proof for even functions, we can show that

f(y) = -2i ∫[0,∞] f(x) sin(2πxy) dx

This completes the proof of property (ii).

In summary:

(i) If f is an even function, then f(y) = 2 ∫[0,∞] f(x) cos(2πxy) dx.

(ii) If f is an odd function, then f(y) = -2i ∫[0,∞] f(x) sin(2πxy) dx.

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Answer:

250,000e^0.013t, where t is the number of years since 2000. In what year will the population reach 450,000?

how do i find a functions formula when dealing with word problems?​

I will be depend on the situation given in the problem

For example :

if the wage is 50

Answer:

Hey!

Your answer is Y=-5x-6

Step-by-step explanation:

Using the formula y=mx+c...

m=slope c=y-intercept

The coordinate s(the c) it's given you are the coordinates for the y-intercept so we only write the y-value down (the -6)

The m is the slope do we write the slope value (-5)

Which forms y=-5x-6

HOPE THIS HELPS!!

361 light bulbs out of the 755 will last over 1330 hours

Here, we want to calculate the expected number of bulbs

The first thing we have to do here is to calculate the z-score

We have this as follows;

Now, we have to calculate the probability that is equal to this z-score

So, the probability we want to calculate is that which is greater than the calculated z-score

We are going to use the standard normal distribution table here

By using the table, we have the equivalent probability as 0.47823 (about 48%)

So, out of the 755 freshly installed light bulbs, 47.823% will last more than 1330 hours

The exact number that will last will be;

Answer:

A  76

Step-by-step explanation:

7x+8+7x-2+5x+16+110=360

19x+132=360

19x=228

x=12

∠E=5(12)+16

    =76

Answer:

76. hope it helps.................

Answer:

We have 6 cards.

9 of hearts

5 of spades

6 of hearts

2 of spades

4 of hearts

7 of hearts.

A is the event where Anwar selects an even numbered card.

B is the event where she choses a heart.

we have 3 even cards (and two of them are hearts)

we have 4 hearts (2 of them are even)

The probability of event A is Pa = 3/6 = 1/2

the probability of event B is = Pb = 4/6 = 2/3

The probability of event A and Event B is the number of heart cards with even numbers, that are 2 divided the total number of cards:

Paandb = 2/6 =  1/3

the probabilty of A if we know that B is true:

P(AIB) = 2/4 = 1/2 (this is because we have 4 hearts, and we know that 2 of those 4 cards are even)

the probability of B if we know that A is true:

P(BIA) = 2/3 (this is because we have 3 even cards, and 2 of them are hearts)

Answer:

A,B,C,E

Step-by-step explanation:

Khan.

TRUST ME!!!!!!!!!!!! THIS IS RIGHT!!!!!!!

Answer:

A

Step-by-step explanation:

logarithmic= log

The only one with log in it is A

From the given set of equation Y = log3x is a logarithmic function.

" Logarithmic function is defined as the function which represents the inverse of the exponential function."

Exponential function expressed as

\(y = a^{x}\)

According to the question,

Given functions ,

      So Y is equals to logarithmic function of 3x.

      \(Y = log_{10} 3x\\\\\implies3x = 10^{y}\)

It's inverse is exponential function

It is a correct answer.

Can not be expressed in exponential form.

All these are not logarithmic function.

Hence, Y = log3x is  a logarithmic function.

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The probability of getting injured by falling off a ladder is approximately 0.0001113.

The odds against getting injured by falling off a ladder are 8,988 to 1. This means that for every 8,988 people who do not get injured by falling off a ladder, only one person does get injured by falling off a ladder.

To determine the probability of the underlined event, we can use the formula:

Probability = 1 / (odds + 1)

Plugging in the given odds, we get:

Probability = 1 / (8,988 + 1)

Probability = 1 / 8,989

Probability ≈ 0.0001113

Therefore, the probability of getting injured by falling off a ladder is approximately 0.0001113, or about 0.01113%. This is a very low probability, which highlights the importance of taking safety precautions when using a ladder.

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Using percentage, we can find that there is an error of 5% in the librarian's estimate.

The denominator of a percentage, also known as a ratio or a fraction, is always 100. For instance, Sam would have received 30 points out of a possible 100 if he had received a 30% on his maths test. In ratio form, it is expressed as 30:100, and in fraction form, as 30/100. Here, "percent" or "percentage" is used to translate the percentage symbol "%." The percent symbol can always be changed to a fraction or decimal equivalent by using the phrase "divided by 100".

As per the question,

Estimated books:

For George Washington = 65

For Abraham Lincoln = 80.

Actual books:

For George Washington = 67

For Abraham Lincoln = 71.

Now total estimated books = 65 + 80 = 145

Now, total actual books =- 67 + 71 = 138.

Difference between them:

= 145 - 138

= 7

Now percent of error = 7/145 × 100

= 0.048 × 100

= 4.8

≈5%

Therefore, there is an error of 5% in the librarian's estimate.

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Step-by-step explanation:

15 / (1/3)  is equal to  15 x 3/1  = 15 x 3 = 45

The amount of people in the city after 2 years is 27.05 thousands

From the question, we have the following parameters that can be used in our computation:

The expression 25.75(1.025)

Express as a function

So, we have

P(x) = 25.75(1.025)ˣ

In two years, we have

x = 2

Substitute the known values in the above equation, so, we have the following representation

P(2) = 25.75(1.025)²

Evaluate

P(2) = 27.05

Hence, the population is approximately 27.05 thousands

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Answer:

The probability that Kyle will pick a girl who likes football is 12.5%.

Step-by-step explanation:

The data provided is as follows:

                         Boys        Girls       Total

Basketball          10             8             18

 Football           25             7             32

  Soccer             9             19             28

 Baseball           18            22            40

   Total               62           56            118

Compute the probability that Kyle will pick a girl who likes football as follows:

\(P(F|G)=\frac{n(G\cap F)}{n(G)}\)

            \(=\frac{7}{56}\\\\=0.125\\\\=12.5\%\)

Thus, the probability that Kyle will pick a girl who likes football is 12.5%.

D box plot correctly represents the data

A box plot or boxplot is a technique for illustratively displaying the localization, dispersion, and skewness groups of numerical data through their quartiles.

Using a five-number summary (the minimum, first quartile (Q1), median, third quartile (Q3), and "maximum"), a boxplot is a common method of visualizing data distribution.

The median value for the provided data will be the sixth data point's value, or 3.

The median of the data's lower half is now the first quartile. The third data point's value of 1 will therefore be in the lower quartile.

The median of the data's upper half is now referred to as the upper or third quartile. This means that the value of the ninth data point, which is 6, will represent the upper quartile.

Thus, box-plot D effectively displays the data from above.

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Answer:

The answer is D.

Edg 2023.