i need help. Part A: Create a five-number summary and calculate the interquartile range for the two sets of data. (5 points)
Part B: Are there any outliers present for either data set? Justify your answer mathematically. (5 points)

I Need Help. Part A: Create A Five-number Summary And Calculate The Interquartile Range For The Two Sets

Answers

Answer 1

Five number summary and IQR of both the data sets are different.

For school A: Minimum=6, Q₁=6.5, Median= 14, Q₃=16, Maximum=17, IQR=9.5

For school B: Minimum=5, Q₁=8, Median= 12, Q₃=15.5, Maximum=19, IQR=7.5

No, the box plots are not symmetric.

Part A:

The given data sets are

School A : 9,14,15,17,17,7,15,6,6

School B : 12,8,13,11,19,15,16,5,8

Arrange the data in ascending order.

School A : 6,6,7,9,14,15,15,17,17

School B : 5,8,8,11,12,13,15,16,19

Divide each data set into four equal parts.

School A : (6,6),(7,9),14,(15,15),(17,17)

School B : (5,8),(8,11),12,(13,15),(16,19)

For school A:

Minimum=6, Q₁=6.5, Median= 14, Q₃=16, Maximum=17

The interquartile range of the data is

For school B:

Minimum=5, Q₁=8, Median= 12, Q₃=15.5, Maximum=19

[tex]IQR=Q_3-Q_1\\ =Q_3-Q_1\\ =16-6.2\\ =9.5[/tex]

The interquartile range of the data is

[tex]IQR=Q_3-Q_1\\ =Q_3-Q_1\\ =15.5-8\\ =7.5[/tex]

Part B:

The box plots are not symmetric because the data values are different. Five number summary and IQR of both the data sets are different.

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Related Questions

Question 19 of 40
Which of the following is the correct definition of an angle?
OA. A shape formed by two intersecting lines or rays
B. A shape formed by the intersection of two lines
C. A shape formed by two intersecting rays
D. A shape formed by two intersecting lines from a common point

Answers

The correct definition of an angle is D: A shape formed by two intersecting lines from a common point.

What is a line segment?

A line segment is extended infinitely in both directions whereas a 'ray' is a line segment that has one endpoint and extends infinitely in the other direction.

Now, an 'angle' is formed by two rays having a common end-point.

As the angle has a common endpoint,

Therefore it is not possible to form an angle by intersecting two rays having different endpoints.

Hence, option D is correct.

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Use a real number line to define la.
Choose the correct answer below.
OA. |a| = -a for any real number a.
B. The midpoint of the origin and a is la for any real number a.
OC. The distance from the origin to a is la for any real number a.
D. The distance from a to a is |a| for any real number a.

Answers

A number line is just that – a straight, horizontal line with numbers placed at even increments. The distance from the origin to a is |a| for any real number a. Thus, the correct option is C.

What is a number line?

A number line is just that – a straight, horizontal line with numbers placed at even increments along the length. It’s not a ruler, so the space between each number doesn’t matter, but the numbers included on the line determine how it’s meant to be used.

As we know that in the given function |a|, when any value is given to a, then the value that the function is written is equal to a.

Let a=-5, then the value that the function will return is 5. Which is the distance borigin and a, on the number line.

Hence, The distance from the origin to a is |a| for any real number a. Thus, the correct option is C.

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Kira plans to buy a used van that costs $14,000. The dealer requires a 20% down payment. The rest of the cost is
financed with a 4-year, fixed-rate amortized auto loan at 3.5% annual interest with monthly payments.
22
Complete the parts below. Do not round any intermediate computations. Round your final answers to the nearest cent
if necessary. If necessary, refer to the list of financial formulas.
(a) Find the required down payment.
S

$ 0
(b) Find the amount of the auto loan.
Aa
(c) Find the monthly payment.

Answers

A: 2800

B: 11200

C: 250.39 per month

5x -9=2y por suma y resta ecuacion

Answers

Multiplica los números: 5x-9=2y
-45=2y
2y=-45
Y=-45/2
Ecuación:
5x-9=2y
-45=2y
2y=-45

write the quadratic equation whose roots are -3 and 3, and whose leading coefficient is 5

Answers

Answer:

5x²- 1.8

Step-by-step explanation:

roots are -3 and 3, put them in brackets

(x - 3)(x + 3)

x² + 3x - 3x - 9

x² - 9

5x = -9

x = -1.8

5x² - 1.8

just to check:

5x² - 1.8

x² - 9

(x - 3)(x - 3)

x = -3 and 3.

Mr. Harry had 4 daughters, each daughter had a brother. How many Children does Mr. Harry have? ​

Answers

Answer:

Mr. Harry has 5 children.... I know what you were going for...

Indicate the equation of the given line in standard form. Show all of your work for full credit.

The line containing the altitude to the hypotenuse of a right triangle whose vertices are P(-1, 1), Q(3, 5), and R(5, -5).

Answers

Answer:  24 sq units is the area of triangle.

Step-by-step explanation:

Given , (x1 , y1) = (-1, 1),  (x2 , y2) = (3, 5) ,  (x3, y3) = (5, -5)

Using the Formula :

Area of triangle =  [tex]\[\frac{1}{2}(x1(y2-y3) + x2(y3-y1) + x3(y1 -y2))\][/tex]

    [tex]\[=\frac{1}{2}(-1(5-(-5)) + 3(-5-1) + 5(1-5)) \\=\frac{1}{2}(-10 -1 8 -20) \\=\frac{1}{2}(-48) = -24\][/tex]

Area cannot be negative. We only consider the numerical value of answer. Therefore, area of triangle = 24 sq units.

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Write the integral and solve for the area under the curve:

Answers

Answer:

Integral: [tex]\int\limits^\pi _0 {3sinx} \, dx[/tex]

Area: 6

Step-by-step explanation:

[tex]\int\limits^\pi _0 {3sinx} \, dx = -3[cosx]_{0} ^{\pi} = 6[/tex]

( Math ) Please explain how you got this answer! Please use substitution method!

Answers

Answer:

y = 1

x = -2

Step-by-step explanation:

During the substitution method, you are substituting one function into another. Because both functions are set equal to "x", you can make the functions equal each other. This allows you to 'get rid' of the "x" variable and simplify to find the value of "y".

5A) x = -2y

5B) x = 2 - 4y

-2y = 2 - 4y                     <----- Set both equations equal

2y = 2                             <----- Add 4y to both sides

y = 1                                <----- Divide both sides by 2

Now that you know what "y" equals, you can plug that value into the "y" variable into one of the equations. This will allow you to then simplify and find the answer for "x".

x = -2y                             <----- Equation 5A

x = -2(1)                           <----- Plug 1 into "y"

x = -2                              <----- Multiply -2 and 1

Angle RSU is complementary to angle UST. Angle QSR is congruent to angle RSU.

Lines Q, R, U, and T extend from point S from left to right. Angle R S T is a right angle.
Which statement is true about angles UST and QSR?

They are complementary.
They are supplementary.
They are congruent.
They are obtuse.

Answers

Answer:

Statement 1 is correct

Angles UST and QSR are complementary.

Step-by-step explanation:

Complementary angles are those angles whose addition gives result of 90°

Congruent angles are those angles which are equal to each other.we can say that there values are same.

Here angle RSU is complementary to angle UST.

Therefore there addition is equal to 90°

∠RSU + ∠UST =  90° - (i)

Here angle QSR is congruent to angle RSU.

It means ∠QSR =∠RSU -(ii)

From equation (i) and (ii)

∠QSR + ∠UST =  90°

So angles UST and QSR are complimentary angles.

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Answer: A. They are complementary.

Step-by-step explanation: RIGHT ON EDGE 2023

algebra 2 look image below

Answers

Well first, let's establish that the rate of change (r) is equivalent to the distance (d) divided by the time (t), which is: r=d/t.

So let's plug in some numbers!

r=(1 mile)/(30 seconds), which is 1/30 miles per second!
r=(5 miles)/(150 seconds), which is also 1/30 miles per second!

I'm not sure if you're supposed to estimate your response, so I would just put 1/30 in the answer box!

If you bought a stock last year for a price of $103, and it has risen 13.5% since then, how much is the stock worth now, to the nearest cent?

Answers

The stock worth now, to the nearest cent is  $90.75.

How to find the current worth of stock?

The current worth of stock = initial price of stock+increase in the price of stocks

If you bought stock last year for a price of $103, and it has risen 13.5% since then,

Let X be the worth of stock;

103 ×  100 = (13.5% + 100%) × X

10300 = 113.5X

X = 10300/113.5

X = 90.74889868

X = $90.75

Hence, The stock worth now, to the nearest cent is  $90.75.

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For the given equation, find the values of a, b, and c, determine the direction in which
and determine the y-intercept. Decide which table best illustrates these values for the equation
f(x) = -9x² +7x

Answers

Answer: Table D

Step-by-step explanation:

The coefficient of x^2 is -9, the coefficient of x is 7, and the constant is 0, so we know a = -9, b = 7, c = 0.

This eliminates tables A, B, and C.

Thus, table D is the answer.

Which of the following polynomials is in standard form?
A. F(x)=-3x+6x²-1+7x
B. F(x)=7x+6x² -1-3x4
C. F(x)=-3x4 -1+6x² +7x
D. F(x)=-3x +6x² +7x-1

Answers

Answer:

d

Step-by-step explanation:

What do large differences of the mean of each group indicate

Answers

The Actual Question:

What do large differences of the means of each group indicate? Select the correct answer.

A. The large differences do not indicate any Significant meaning in the given context.

B. The peppers with different weights aren't properly distributed between the two groups.

C. There is not enough information to analyze the differences.

D. The peppers with different weights are properly distributed between the two groups

Answer:

B. The peppers with different weights aren't properly distributed between the two groups.

What is a mean?

A quantity having a value intermediate between the values of other quantities; an average, especially the arithmetic mean.

The considerable discrepancies in the means of each group imply that: B. the peppers with varying weights are not adequately divided across the two groups.

So in the given situation above in the question, it can be concluded that large differences of the means from each group indicates that the peppers that are not properly distributed between the 2 different groups have different weights.

Lief starts saving for his future and deposits $425 each month at 5.7% annual interest, compounded monthly, for 25 years. At the end of 25 years, he has an account balance of $281,292.21. How much of this did Lief contribute and how much of this is interest?

Answers

Using proportions, it is found that the amounts are given as follows:

Amount deposited: $127,500.Amount of interest: $153,792.21.

What is a proportion?

A proportion is a fraction of a total amount, and the measures are related using a rule of three.

The amount deposited is of $425 each month for 25 years, that is, $425 in 25 x 12 times, that is:

D = 425 x 25 x 12 = $127,500.

The amount of interest is the total amount subtracted by the amount deposited, hence:

I = 281,292.21 - 127,500 = $153,792.21.

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Find m angle angle KML

Answers

Answer:

52

Step-by-step explanation:

this is a triangle whose 2 sides are equalfirst take 180 which is the sum of interior angle minus 76 which is the angle givenyou will get 104 which is the other 2 anglesdivide by 2 since they are equal to get 52

Question 10: Each tablet in a bottle of 30 costs the pharmacy $4.60. The pharmacy has additional costs including supplies and shipping of $1.40 per pill. If a 12% profit is desired, how much would the pharmacy charge for entire bottle?

Answers

The pharmacy must charge for $201.6 for the entire bottle.

Profit is the financial gain to the seller after selling some commodity

Revenue is the total sale of the seller after selling some commodity

Expenses is the expenditure to the seller before selling the commodity

Profit = Revenue - Expenses

Cost of the tablet = $4.60

Total cost of the bottle=$4.60x30

                                       =$138

Additional cost=$1.40 x 30

                          = $42

Total expenses=$180

Profit %=125

Revenue= $180 x (1+12/100)

              =$180 x (112/100)

               =$201.6

Therefore, The pharmacy must charge for $201.6 for the entire bottle for a profit of 12%

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evaluate 2/3 - 1/6 * 1/4​

Answers

Answer: 0.625

Step-by-step explanation:

Need help with this pls and thank
U soo
Much

Answers

Answer:

post the question??

Step-by-step explanation:

Answer:

What are we helping y with

Step-by-step explanation:

Please help !!! I will give 20 points to the correct answer!!

Answers

-2x + 11 =31
-2x =31 - 11
-2x = 20
X = 20/2
X = 10

8(w-5)=16 solve for w please give working out

Answers

The answer is 7 according

What is the volume of a regular pyramid having a base area of 24 inches and height of 6 inches

Answers

Answer:

V= 48 in^2

Step-by-step explanation:

Formula

Since the base has a known area, we do not need the full volume formula. This formula is

V = B * h / 3

B is the area of the base and h is the height measured from the top of the pyramid to the base meeting the base at right angles.

Givens

B = 24 in^2

h = 6 in

Solution

V = B * h / 3

V = 24 * 6/3

V= 48 in^2

Find the indicated side of the right triangle 60° 30° 3 x

Answers

Answer: [tex]3\sqrt{3}[/tex]

Step-by-step explanation:

[tex]\tan 60^{\circ}=\frac{x}{3}\\\\\sqrt{3}=\frac{x}{3}\\\\x=\boxed{3\sqrt{3}}[/tex]

Which of the following is another name for a proof by contradiction?​

Answers

There are a few possibilities:

Indirect proofreductio ad absurdum

The second term refers to the idea of simplifying a claim down to an impossible absurd one.

Use the five numbers 12, 11, 19, 16, and 12 to complete parts a) through e) below.
a) Compute the mean and standard deviation of the given set of data.
The mean is x = and the standard deviation is s =
(Round to two decimal places as needed.)

Answers

Answer:

mean = 14 and standard deviation = 3.03

Step-by-step explanation:

mean = sum of all numbers ÷ by the numbers available

= (11 + 12 + 12 + 16 + 19) ÷ 5

= 70 ÷ 5

= 14

FOR STANDARD DEVIATION * USE A SCIENTIFIC CALCULATOR THEY WON'T PENALIZE YOU*

follow these steps:

1. press mode then STAT

2. then press 1-VAR

3. put all the numbers on the table in ascending order

4 after press AC

5. press shift then 1

6. you will see many things but we are only interested in standard deviation, press *Var*

7. then select the standard deviation sign and press the equal sign


(6.03)
What is the constant term in the expression 6x³y + 8x² + 5x + 7? (Input a numeric value only.)
Numerical Answers Expected!
Answer for Blank 1:

Answers

It is 7 because it has no variable that is being multiplied

Which pair of angles are vertical angles?

Answers

Answer:

Vertical angles are angles opposite of each other. hope it helps

Vertical angles are always congruent . So, in this figure, ∠1≅∠3

1


3
and ∠2≅∠4

2


4

At the taco truck an order of 1 taco and 3 quesadillas cost $ 26.50. An order if 3 tacos and 1 quesadilla cost $19.50. for 5 tacos and 1 quesadilla. What is the cost of one taco and the cost of one quesadilla?

Answers

Answer:

The cost of 1 taco = $4

The cost of 1 quesadilla = $7.50

Step-by-step explanation:

Let the cost of tacos be x and the cost of quesadillas be y.

Given condition:

x + 3y = 26.50 ------------------(1)

3x + y = 19.50 -------------------(2)

Multiply Eq. (2) by 3

3(3x + y) = 19.50 * 3

9x + 3y = 58.5 -----------------(3)

Subtract Eq. (3) from (1)

x + 3y - 9x - 3y = 26.50 - 58.50

x - 9x = -32

-8x = -32

8x = 32

Divide 8 to both sides

x = $4

Put x = 4 in (1)

4 + 3y = 26.50

Subtract 4 to both sides

3y = 26.50 - 4

3y = 22.50

Divide 3 to both sides

y = $7.50

So,

The cost of 1 taco = $4

The cost of 1 quesadilla = $7.50

[tex]\rule[225]{225}{2}[/tex]

HELP QUICK PLEASE WILL GOVE BRAINLEOCMWdiowemforewmfo

Answers

Answer:

It's choice G or H

Step-by-step explanation:

The cube and the disc are representative of the variable r and a 1 (a single unit) The question says "Using the representations above..." Hopefully right before this question it tells you (above) which is the variable and which is the single unit.

The left and right sides of the balance are going to represent the left and right sides of the equation, with the = equal sign being the middle.

The 2 on the left side and the 18 on the right side will need to have the same image representing it on both sides (2 on the left, 18 on the right) because they are both numerical values. Then, there should also be one shape on the left that stands for the variable. Without seeing the info that preceded the question, it is either Answer G or Answer H. Edit in the additional info. I will be able to say exactly which one. But I bet you can see it!

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