The data set shows the lengths, in minutes, of different musical performances.
36, 15, 9, 22, 36, 14, 42, 45, 51, 29, 18, 20
What is the interquartile range (IQR) of the data set?

Answers

Answer 1

Answer: It has to be 22.5

Step-by-step explanation: Since this is a quiz, I won't tell you how to solve it, i'll give you some clues. But with what I know is; you have to  find the (Q1) and (Q3) Then see what the difference is between  the quartiles, and that should be your answer.

Answer 2

The interquartile range (IQR) of the data set is 19.

It is required to find the interquartile range (IQR) of the data set.

What is statistics ?

Statistics are defined as numerical data, and is the field of math that deals with the collection, tabulation and interpretation of numerical data. It is the study and manipulation of data, including ways to gather, review, analyze, and draw conclusions from data.

Given:

The date are arranged from ascending order

9,14,15,18,20,22,29,36,36,42,45,51

Now you have one lower half with the numbers 9,14,15,18,20,22 and an upper half with the numbers 36,36,42,45,51.

As you can see in the figure, you have to find the median for these lower and upper halfs, so you have:

[tex]Q_{1} =16\\\\Q_{3} =35\\[/tex]

Now we can find the interquartile range that is:

[tex]IQR=Q_{3} -Q_{1}\\\\IQR=35-16\\\\IQR=19[/tex]

Therefore, the interquartile range (IQR) of the data set is 19.

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Related Questions

HELP EMERGANCY FAST ANSWERS TIME LIMIT
Assume Sheila's nominal salary increases from $42,000 in 2003 to $69,000 in 2004.
If the Deflator increased from 106 in 2003 to 109 in 2004 and the CPI increased
from 184 in 2003 to 190 in 2004, what was Sheila's percentage increase in real
income?
6

Answers

Answer:

E)

Step-by-step explanation:

1 - (69,000 / 42,000) = .64285 * 100% = 64.3%


[tex] \sqrt{25} [/tex]
pls help i just want the answer T-T.​

Answers

Answer:

5

Step-by-step explanation:

Find the value of xxx in the triangle shown below

Answers

THIS ANSWER WAS DELTED FROM  BRAINLY

Question: Find the value of xxx in the triangle shown below

Answer: Pg.21607062  

Brainly.com

2-19-21

Answer:

x = 70

Step-by-step explanation:

Without making any calculations, which data set has the smallest standard deviation?
O 1, 1, 2, 2, 3,3
O 1, 3,5
O 0, 1, 5, 6, 9, 10
O 1, 1, 1, 1, 2, 2, 2, 2

Answers

Answer:

the last set: {1, 1, 1, 1, 2, 2, 2, 2}

Step-by-step explanation:

Notice the smallest standard deviation will come from the addition of the differences between the average value and each individual number in the set.

We notice that there is one set where all values are very close to the average . This is the set:

{1, 1, 1, 1, 2, 2, 2, 2} whose clear average is 1.5 , and therefore the deviations from the mean will produce contributions of 0.5 for each of the elements.

Mr. Morales owns a tour bus company and just received the news that fuel prices are going to increase by 125% it is currently $3.40 per gallon what will the cost per cost per gallon after the increase

Answers

Answer:

Step-by-step explanation:

Your answer

Let me think. 125 %,,,. So 1.25* 3.4= 4.25

New price = 7.65

Mark it as Brainlist answer. Follow me.

This year 0.3 of the x students at Mega Middle School are in 7th grade. There are 294 students in 7th grade.

Answers

Answer:

is that even a question ?

Step-by-step explanation:

3/10x=294

x=294*10/3

x=980 students

if you found my answer helpful please mark as brainliest.

an arfican elephant weighs 6 tons what is the weight of the elephant in pounds? 2000 pounds = 1 ton

Answers

the answer would be 12,000 pounds. simply multiply 2,000 x 6 = 12,000.

Find the missing sides to the triangle seen below.

Answers

Answer:

95

Step-by-step explanation:

you got to eat it and then division then multiple

Answer:

95

Step-by-step explanation:

Can the triangles be proven similar by AA?
Question options:

A)

No, similar triangles cannot contain a pair of parallel lines.

B)

Yes, because ∠QUR ≅ ∠TUS (vertical angles) and ∠R ≅ ∠S (alternate interior angles).

C)

Yes, because || .

D)

No, the triangles contain no angles marked congruent.

Answers

Answer:

No, similar triangles cannot contain a pair of parallel lines. Yes, because || . Yes, because ∠QUR ≅ ∠TUS (vertical angles) and ∠R ≅ ∠S (alternate interior angles).

Step-by-step explanation:

Yes, because ∠QUR ≅ ∠TUS (vertical angles) and ∠R ≅ ∠S (alternate interior angles).

What is similarity?

Two triangles are similar if they have the same ratio of corresponding sides and equal pair of corresponding angles.

Both triangles are similar as,

∠QUR ≅ ∠TUS (vertical angles)

∠R ≅ ∠S (alternate interior angles).

So, By AA similarity criteria triangles are similar.

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Write the fraction in lowest terms.
14/37

Answers

Answer:

14/37

Step-by-step explanation:

14/37 is already in the simplest form. It can be written as 0.378378 in decimal form (rounded to 6 decimal places).

Steps to simplifying fractions

Find the GCD (or HCF) of numerator and denominator

GCD of 14 and 37 is 1

Divide both the numerator and denominator by the GCD

14 ÷ 1

37 ÷ 1

Reduced fraction:

14/37

Therefore, 14/37 simplified to lowest terms is 14/37.

Simplify to a single power of 5

Answers

Answer:

7

Step-by-step explanation:

multiplying exponents adds them together... 5+2=7

The answer is simply seven

A large university accepts ​60% of the students who apply. Of the students the university​ accepts, ​30% actually enroll. If 30,000 students​ apply, how many actually​ enroll?

Answers

Answer:

Your answer is

60% apply means 30k *0.6= 18000

30% enroll so,.0.3*18k = 5400

Want more answer then follow me, like and MARK MY ANSWER AS BRAINLIST ANSWER.

I need that urgently.

Answer:

5400 students

Step-by-step explanation:

well 60% of 30000 would be 18000 which is the amount who gets accepted. 30% of 18000 would be who actually enrolls

Let FICA tax rates be 7.65% on the first $127,200 of income from wages, and 1.45% on any income from wages in excess of $127,200. Her FICA tax is?

Answers

Answer:

The tax is split between employers and employees. They both pay 7.65% (6.2% for Social Security and 1.45% for Medicare) of their income to FICA, the combined contribution totaling 15.3%. The maximum taxable earnings for employees as of 2020 is $137,700.

Correct me if you want If its wrong

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Answers

5 a) 22.6

b) 67.8

6 a) 9 miles

b) 18 miles

7. Alicia

Hope this helps pls mark me brainliest thx that took me ages

I dont understand it​

Answers

Answer:

30xy

Step-by-step explanation:

I divided this shape into a square and a rectangle.

Solve:

First I multiplied 2x and 3y

2x*3y= 6xy

Then I multiplied 6x and 4y

6x*4y= 24xy

Then I added them together

24xy+6xy= 30xy

Hope this helps!

Pls tell me the rest of the angles. Angle 1 is 112.9 degrees

Answers

1. 112.9

2. 67.1

3. 112.9

4. 67.1

hope that helped^^

Plz help I’m stuck on this question

Answers

Answer:

the answer is C

Step-by-step explanation:

bhl

2

i hope it will help you

Find the area (in square inches) of the parallelogram.

Answers

864 inches²

Step-by-step explanation:

2 ft = 24 inch

3 ft = 36 inch

area of parellogram = base × height = 24 × 36 = 864 inches²

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Why is your amount owed considered when determining your credit score? BI U S​

Answers

I think it’s what ever you have left after paying, I’m sorry if this is wrong.

Find the slope of the line passing through each of the following pairs of points. (0,0) (4,3)

Answers

Answer:

Step-by-step explanation:

Slope or m is defined as

m=(y2-y1)/(x2-x1) in this case

m=(3-0)/(4-0)

m=3/4

One number is 24 more than the other. What are the numbers if their sum is 84

Answers

Answer:

The required numbers are 30 and 54.

Step-by-step explanation:

Let 'x' be the smaller numberLet 'y' be the larger number

Given that one number is 24 more than the other, so

[tex]y = x + 24[/tex]

Given that the sum of the numbers is 84, so

[tex]x + y = 84[/tex]

so we have two equations

[tex]\begin{bmatrix}y=x+24\\ x+y=84\end{bmatrix}[/tex]

Arrange equation variables for elimination

[tex]\begin{bmatrix}y-x=24\\ y+x=84\end{bmatrix}[/tex]

subtracting the equartions

[tex]y+x=84[/tex]

[tex]-[/tex]

[tex]\underline{y-x=24}[/tex]

[tex]2x=60[/tex]

now solve 2x = 60 for x

[tex]2x=60[/tex]

Divide both sides by 2

[tex]\frac{2x}{2}=\frac{60}{2}[/tex]

Simplify

[tex]x=30[/tex]

For y - x = 24 plug in x = 30

[tex]y-30=24[/tex]

Add 30 to both sides

[tex]y-30+30=24+30[/tex]

Simplify

[tex]y=54[/tex]

Thus, the required numbers are 30 and 54.

Verification:

Given that one number is 24 more than the other, so

[tex]y = x + 24[/tex]

substitute x = 30

y = 30 + 24

y = 54

Thus, y is 24 more than x.

Given that the sum of the numbers is 84, so

[tex]x + y = 84[/tex]

sustitute x = 30 and y = 54

30 + 54 = 84

84 = 84

L.H.S = R.H.S

Thus,  the sum of the numbers is indeed 84.

v= u + at, find v, when u = 12, a = 5 and t = 7

Answers

Answer:

V=47

Step-by-step explanation:

12+5x7

12+35

47

Answer:

Final velocity (v) = 47 m/s

Step-by-step explanation:

u = 12

a = 5

t = 7

v = ?

v = u + at (first law of motion)

v = 12 + (5 × 7)

v = 12 + 35

v = 47 m/s.

1.99 ÷ 3 =
2. 125 ÷ 5 =
3. 288 ÷ 36=
4. 540 ÷ 12=
5. 999 ÷ 111=
pls answer ngayon ko na po ito ipapasa explain the answer​

Answers

Hope I helped:)
1. 33
2. 25
3. 8
4. 45
5. 9
1. 33
2. 25
3. 8
4. 45
5. 9

what is the solution f/4 = 12/5​

Answers

Step-by-step explanation:

cross multiply

4(12) = 5f

48 = 5f

48/5 = f

9 3/5

Divide.
14)4210
O A. 300 r 10
O B. 300 r 7
O C. 300
O D. 310


no rush at all lolz.!

Answers

300 with a remainder of 10

3 0 0

1 4 | 4 2 1 0

4 2

1 0

Therefore, 4210 / 14 = 300 with a remainder of 10.

300 with a remainder of 10

Aaron usually runs 1 1/2 miles each day. However, on
Tuesday he only ran 2/3 of that distance. How far did
Aaron run on Tuesday?

Answers

1 mile is the correct answer1 ½ ÷ 3 = ½½ x 2 = 1Please let me know if I am wrong.


Which of the following is most likely the next step in the series?

Answers

Answer:

I need more info to answer this question.

Step-by-step explanation:

The checker piece near the middle of the board can move diagonally in any directions between shaded squares. On how many different squares can the piece be located at the end of one turn?
URGENT I REALLY NEED HELP ANYONE? PLEASE

Answers

I might be wrong but i’m gonna say 3 squares. I’m sorry if it’s the wrong answer I just feel really bad because you really need help :(

A math teacher was frustrated at the number of students leaving their graphing calculator behind in her classroom at the end of class without a way to locate the student. A random sample of 50 students is selected, and of the students questioned, 32 had their names written on their graphing calculators.

Required:
What would be a 99% confidence interval for the proportion of all students at this school who have their names written on their graphing calculators?

Answers

Answer:

The 99% confidence interval for the proportion of all students at this school who have their names written on their graphing calculators is (0.4652, 0.8148).

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]1-\alpha[/tex], we have the following confidence interval of proportions.

[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

In which

z is the zscore that has a pvalue of [tex]1 - \frac{\alpha}{2}[/tex].

A random sample of 50 students is selected, and of the students questioned, 32 had their names written on their graphing calculators.

This means that [tex]n = 50, \pi = \frac{32}{50} = 0.64[/tex]

99% confidence level

So [tex]\alpha = 0.01[/tex], z is the value of Z that has a pvalue of [tex]1 - \frac{0.01}{2} = 0.995[/tex], so [tex]Z = 2.575[/tex].

The lower limit of this interval is:

[tex]\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.64 - 2.575\sqrt{\frac{0.64*0.36}{50}} = 0.4652[/tex]

The upper limit of this interval is:

[tex]\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.64 + 2.575\sqrt{\frac{0.64*0.36}{50}} = 0.8148[/tex]

The 99% confidence interval for the proportion of all students at this school who have their names written on their graphing calculators is (0.4652, 0.8148).

According to the National Center for Education Statistics, there were 13.2 million undergraduate students enrolled in degree-granting postsecondary institutions in Fall 2000. In Fall 2014, the enrollment was 17.3 million students. Assuming this relationship grows linearly, write a linear function that models the undergraduate enrollment in postsecondary institutions
x years after 2000

Answers

Answer:

13.2 + 0.292X = Y

Step-by-step explanation:

Given that, according to the National Center for Education Statistics, there were 13.2 million undergraduate students enrolled in degree-granting postsecondary institutions in Fall 2000, while in Fall 2014, the enrollment was 17.3 million students, assuming this relationship grows linearly, a linear function that models the undergraduate enrollment in postsecondary institutions X years after 2000 would be carried out as follows:

2014-2000 = 14

17.3 - 13.2 = 4.1

4.1 / 14 = 0.292

Thus, each year 292,000 new students are enrolled in postsecondary institutions. Therefore, the function that determines what is requested would be the following:

13.2 + 0.292X = Y

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