What is the interquartile range of this data set?

What Is The Interquartile Range Of This Data Set?

Answers

Answer 1

Answer:

IQR = 13

Step-by-step explanation:

First, lay out the set of data in a line.

20, 25, 30, 30, 31, 40, 41, 49

Next, we have to find the median, which is the middle of the set of data.

It is between 30 and 31, which is 30.5. Another way to find it is:

30 + 31 = 61

61 ÷ 2 = 30.5

Using that, we mark it between 30 and 31. Next, use the line of the mark, you use to separate the data into two.

20, 25, 30, 30 | 31, 40, 41, 49

Now, you find the median for each side. The left side will be the lower quartile, and the right side will be the upper quartile.

LQR = 25 + 30 = 27.5

UQR = 40 + 41 = 40.5

Now to find the IQR, you subtract the LQR from the UQR:

40.5 - 27.5 = 13

IQR = 13

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Answer 2
13 is the range of the quartile

Related Questions

A quality control inspector rejects 253 can openers from a batch of 19,354. What is the experimental probability that a can opener will pass inspection?

Round your answer to the nearest hundredth.

Answers

Answer:

0.99

Step-by-step explanation:

To find the experimental probability, divide the number of can openers that passed inspection by the total number of can openers in the batch:

Passed inspection: [tex]19,354 -253=19.101[/tex]
Experimental probability: [tex]19,101[/tex]÷[tex]19,354=0.987[/tex]
Which rounded to the nearest hundredth is 0.99

The answer is 0.99
19354-253=19101
19101/19354=0.987
Now round to nearest 0.99

Explain how to show a reflected object is congruent to its preimage. Be specific.

Answers

Answer:

To show that a reflected object is congruent to its preimage, follow these steps:

Identify the line of reflection.

Locate corresponding points on the preimage and its reflection.

Measure the distances between the line of reflection and the corresponding points.

Compare the distances for each corresponding point.

If the distances are equal, the reflected object is congruent to the preimage.

Step-by-step explanation:

Step-by-step explanation:

To show that a reflected object is congruent to its preimage, you need to demonstrate that the reflected object and the preimage have the same size and shape. Here's how you can do it:

1. Identify the preimage

2. Determine the line of reflection

3. Reflect the preimage

4. Compare corresponding points

5. Check angles

6. Verify sides

7. State the conclusion

By following these steps and ensuring that all corresponding points, angles, and sides are congruent, you provide a specific and comprehensive demonstration that the reflected object is congruent to its preimage.

For a school project, Derek is investigating cell phone use in his hometown, Somerville. So far, he has found that the residents of Somerville used their cell phones for 11,609 minutes this year. Compared to last year, that is 30% more. For how many minutes did the residents of Somerville use their cell phones last year?

Answers

Answer:

Therefore, the residents of Somerville used their cell phones for approximately 8,930 minutes last year.

Step-by-step explanation:

To find out how many minutes the residents of Somerville used their cell phones last year, we can use the information given that this year's cell phone usage is 30% more than last year's.

Let's assume the cell phone usage last year was represented by the variable "x" (in minutes).

According to the information given, this year's cell phone usage is 30% more than last year's, so we can express this as:

x + 0.3x = 11609

Combining like terms, we have:

1.3x = 11609

To isolate the variable, we divide both sides of the equation by 1.3:

x = 11609 / 1.3

Simplifying the calculation, we find:

x ≈ 8930

Answer:

Therefore, the residents of Somerville used their cell phones for approximately 8,930 minutes last year.

Step-by-step explanation:

To find out how many minutes the residents of Somerville used their cell phones last year, we can use the information given that this year's cell phone usage is 30% more than last year's.

Let's assume the cell phone usage last year was represented by the variable "x" (in minutes).

In the graph below,
triangle ABC is the preimage of triangle DEF
. How can you prove that these two triangles are congruent? Explain and then carry out your method.

Answers

Answer: if in triangles abc and def, ab= de, ac=df and angle a= angle d.

then triangle abc is congruent to triangle def.

Step-by-step explanation:

Answer:

Answer: if in triangles abc and def, ab= de, ac=df and angle a= angle d.

then triangle abc is congruent to triangle def.

Step-by-step explanation:

DUE TODAY!! LINEAR FUNCTIONS


What is an equation for the linear function whose graph contains the points (−1,−2) and a slope of 3?

Enter your answers in the boxes.

y+ ? = ? (x+1)

Answers

Answer:

The point-slope form of the equation of a line is given by y - y1 = m(x - x1), where (x1, y1) is a point on the line and m is the slope of the line. In this case, we have a point (-1,-2) and a slope of 3. Substituting these values into the equation, we get:

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

Simplifying this equation, we get:

y + 2 = 3(x + 1)

So, the equation for the linear function whose graph contains the point (-1,-2) and has a slope of 3 is y + 2 = 3(x + 1).

Answer:
Y + 2 = 3( X + 1 )


Explanation:
The equation is
Y - Y1 = M(X - X1)

Y1 is the y value:
The y value for the point (-1,-2) is -2 so we can plug that in

Y - (-2) = M( X - X1 )
If you subtract a negative you are adding so:
Y + 2 = M( X - X1 )

X1 stands for X
The X value for (-1,-2) is -1 same as the last one it will be positive because if you subtract a negative you are adding it:
Y + 2 = M( X + 1 )

Finally we plug in M
M is the slope and slope = 3 so plug 3 in
Y + 2 = 3( X + 1 )

Answer is Y + 2 = 3( X + 1 )

A manufacturer inspects 50 computer monitors and finds that 45 have no defects. What is the experimental probability that a monitor chosen at random has no defects?

Answers

The experimental probability that a monitor chosen at random has no defects is 90%

Answer:

The experimental probability of an event is the ratio of the number of times the event occurs to the total number of trials or observations.

In this case, the event is choosing a monitor with no defects, and the number of times the event occurs is 45. The total number of monitors is 50.

So, the experimental probability of choosing a monitor with no defects is:

45/50 = 0.9

Therefore, the experimental probability that a monitor chosen at random has no defects is 0.9 or 90%.

Find the slope of the line that passes through (8, 5) and (3, 1)

PLEASE HELP

Answers

Answer: m = 4/5

Step-by-step explanation:

Use the slope formula

[tex]y_{2}-y_{1}/ x_{2} - x_{1}[/tex]

Let's plug in the points:

5 - 1 / 8 - 3

4/5

So, m=4/5

Answer:

A) [tex]\frac{4}{5}[/tex]

Step-by-step explanation:

Slope formula given 2 points:
[tex]\frac{y_{2}-y_{1}}{x_{2}-x_1}[/tex]

Our points are (8,5) and (3,1)

Substitute:

[tex]\frac{1-5}{3-8} \\=\frac{-4}{-5}[/tex]

negatives cancel out:
=[tex]\frac{4}{5}[/tex]

Hope this helps! :)

PLEASE HELP!! THANK YOUUA

Answers

Answer:

13/8 in

Step-by-step explanation:

1) Since you know that there are 2 sticks with a length of 1/8 in, 3 sticks with a length of 2/8 in, and 1 stick with the length of 5/8 in, we need to add them together.

2) They have the same denominator, so we can add the fractions together easily. 1/8+1/8+2/8+2/8+2/8+5/8=13/8

1 5/8 or 13/8. What you can do is convert to decimals. In my opinion it’s way easier then they are decimals. Or another way you can see it is 2(1/8) + 3(2/8) + 5/8

The data given represents the height of basketball players, in inches, on two different girls' teams.


Allstars
73 62 60
63 72 65
69 68 71
66 70 67
60 70 71
Champs
62 69 65
68 60 70
70 58 67
66 75 70
69 67 60


Compare the data and use the correct measure of center to determine which team typically has the tallest players. Explain your answer.
The Allstars, with a mean of about 67.1 inches
The Champs, with a mean of about 66.4 inches
The Allstars, with a median of about 68 inches
The Champs, with a median of about 67 inches

Answers

Answer:

45

Step-by-step explanation:

The Allstars team has the higher mean and median compared to Champs team. Therefore, the Allstars has the tallest players.

Using Mean and Median to Decide the Tallest Team

By using mean and median, we can know which team typically has the tallest players

For the Allstars:

Mean: The mean height of the Allstars team is obtained by summing up all the heights and dividing by the total number of players:

Mean = (73 + 62 + 60 + 63 + 72 + 65 + 69 + 68 + 71 + 66 + 70 + 67 + 60 + 70 + 71) / 15 ≈ 67.1 inches

Median: The median height of the Allstars team is the middle value when the heights are arranged in ascending order:

Arranging the heights in ascending order: 60, 60, 62, 63, 65, 66, 67, 68, 69, 70, 70, 71, 71, 72, 73

Median = 68 inches

For the Champs:

Mean: The mean height of the Champs team is obtained by summing up all the heights and dividing by the total number of players:

Mean = (62 + 69 + 65 + 68 + 60 + 70 + 70 + 58 + 67 + 66 + 75 + 70 + 69 + 67 + 60) / 15 ≈ 66.4 inches

Median: The median height of the Champs team is the middle value when the heights are arranged in ascending order:

Arranging the heights in ascending order: 58, 60, 60, 62, 65, 66, 67, 67, 68, 69, 69, 70, 70, 70, 75

Median = 67 inches

The Allstars team typically has the tallest players. The mean height of the Allstars team is about 67.1 inches, while the mean height of the Champs team is about 66.4 inches. Additionally, the median height of the Allstars team is about 68 inches, while the median height of the Champs team is about 67 inches. Both the mean and median heights of the Allstars team are higher, indicating that, on average, the Allstars team has taller players compared to the Champs team.

Learn more about mean and median here:

https://brainly.com/question/20118982

#SPJ1

PLEASE NO WRONG ANSWERS

What is the sum of the angle measures in this shape?

A) 180∘

B) 540∘

C) 720∘

D) 360∘

Answers

Answer:

B) 540

Step-by-step explanation:

To find the sum of interior angles of a polygon, we can use the following formula:

(n-2)·180, where n is the number of sides the polygon has.

In this case, this polygon has 5 sides, which makes it a pentagon.

(n-2)·180

substitute

(5-2)·180

simplify

3·180

=540

So, the total sum is 540°.

Hope this helps! :)

Answer: B) 540 degrees

Step-by-step explanation:

The formula for interior angles of a polygon is 180(n-2). N is the number of sides.

Plug the given values into the equation:

180(5-2)=180*3=540

The sum of exterior angles of any polygon is 360 degrees. This problem didn't specify, so I would assume it's talking about interior angles, so the answer would be 540 degrees.

PLEASEE HURRY AND HELP ME NO WRONG ANSWERS :( !!!!!!!!!!

LOOK AT THE IMAGES BELOW !!!!!!!!!!!!!

Answers

Answer:

Hello, for the first one, the answer should be (C) 3

The following transformation is an enlargement, meaning it would get bigger. Meaning that the scale factor increases by 3.


2x3=6

3x3=9


Therefore, the scale factor is (C) 3.

#5: The answer is (D): 4

Since this is an enlargement, we have to determine what ? x 6 = 24 is. Since the height of the photo is 6, we can conclude that 6 x 4 = 24.

Therefore, the answer is (D): 4

Hope this helped! Sorry for the complications <33

#5 The answer is D(4) Because

Does anyone know how to solve these questions? PLEASE!!! I need help.

Answers

Explanation:

hope it's correct

download cymath, it works with many math equations.

I NEED HELP AND FAST

Answers

It is 20$ per person after the initial charge
It’s 20 :) when you subway the additional 25$ charge on the first one you end up with 20. Then you can do the same for the rest

PLEASE HELP QUICKLYYYYY

Answers

Answer:

$20 per week

Step-by-step explanation:

w means weeks, so the 20 could not mean weeks. The 20 is how much money is earned each week.

It’s $20 per week: this means $20 per week

Are the data shown in this line plot skewed left, skewed right, or not skewed?



skewed right
skewed left
not skewed

Answers

Answer: The answer is that the date is skewed left...

Step-by-step explanation: It's ironic, but if it's "heavier" on the left side, the data is right skewed, and vice versa.

The answer is that its skewed right. Its going to the right ->

Customers who buy a fidget toy sold by an online store can give the fidget toy a rating from 1 star to 5 stars. The frequency able shows the number of 1-star, 2-star, 3-star, 4-star, and -star ratings.

Answers

Answer:

The customer ratings for the fidget toy sold by the online store can be represented using a frequency table. The table displays the frequency or count of each rating category, ranging from 1 star to 5 stars. Here's an example of how the frequency table might look:

Rating Frequency

1 star 10

2 stars 20

3 stars 30

4 stars 15

5 stars 25

In this example, the frequency table indicates that there were 10 customers who rated the fidget toy as 1 star, 20 customers who rated it as 2 stars, 30 customers who rated it as 3 stars, 15 customers who rated it as 4 stars, and 25 customers who rated it as 5 stars.

By organizing the ratings into a frequency table, it becomes easier to analyze the distribution of ratings and understand the overall customer satisfaction for the fidget toy.

Step-by-step explanation:

I think this is correc

Find the area of the figure.

A. 100cm ^2

B. 106cm ^2

C. 90cm ^2

D. 41cm ^2

E. 95cm ^2

Answers

The answer is C. 80cm^2
the answer is c, 90cm^2

Math Question; Help

Write 1.6 x 10^3 in Standard form.

Answers

Answer: 1.6 x 10x10x10

Step-by-step explanation:

The exponent (3) signifies that you should write three tens.

1.6 x 10³ is written in standard form as 1600.

Scientific notation is a way of writing very large or very small numbers It is usually used to depict microscopic or macroscopic objects. A number is written in scientific notation when a number between 1 and 10 is multiplied by a power of 10.

        Scientific forms of numbers are compact and take up less space. They are raised to exponents, whereas standard forms are complex and provide the numerical notation taking up more space.

According to the given question the number 1.6×10³ is written in scientific form we have to convert this number into standard form.

We know 10³ = 1000.

∴ 1.6×10³ = 1.6 × 1000.

= 1600.

To learn more about scientific notation and standard forms,

https://brainly.com/question/18073768

can someone help will give 100 points

Answers

Answer:

A and C

Step-by-step explanation:

The first question will be A because V = lwh

V = lwh

V = 6 x 3 x 4

V = 72cm²

Therefore making the answer to the second question C.

The answers are going to be A

What is the surface area of the triangular prism?
A. 255cm ^2
B. 216cm ^2
C. 144cm ^2
D. 256cm ^2

Answers

Answer:

B. 216

Step-by-step explanation:

the formula for this is (S1+S2+S3) L+ BH

so when we plug that in it would be

(5+6+5)12+6*4

and when that is solved it ends up being 216

5 times 12 twice for the side 6 times 12 for the base and and 4 times 6 twice
120+72+24=216^2

What is the area of this trapezoid?

Enter your answer in the box.

Answers

Answer:

352

Step-by-step explanation:

The formula is 1/2(B1 + B2)H  

1/2(13 + 31)16  

1/2(44)16  

1/2(704)  

352

Answer:

Step-by-step explanation: 352ft^2 A=a+b

2h=13+31

2·16=352

answer pls with the work​

Answers

Answer:

Step-by-step explanation:

1. The base of the pyramid is a square so the base of all of the triangles will be 14in.

2. Since the height of the triangle is 4in, the area of 1 triangle will be (14x4)/2 which is 28in^2.

3. Because we are finding lateral area we only need to find the area of the triangles so you do 28x4 which is 112in^2.

Another easy way to find the lateral area of a pyramid is by finding the perimeter of the base which in this case is 56, multiplying it by the slant height which in this case is 4 and dividing by 2. The equation would be (56x4)/2 which is also 112.

Lateral area = 1/2 x 4 x 14
= 28
since theres 4 triangle:
28 x 4 = 112

6^{2} + b^{2} = 8^{2}

Answers

Answer:

-{2√7} or {2√7}

Step-by-step explanation:

1) Simplify the exponents 6^2 and 8^2 by multiplying 6*6=36 and 8*8=64.

2) Write an equation, 36+b^2=64

3) Subtract 36 from both sides, b^2=28

4) Apply a square root to both sides, √(b^2)=√(28)

5) Simplify the equation, b=-√(28) or b=√28

6) If you want, factor the square root by finding a factor that is a square number, -{√(4)*√7} or  {√(4)*√7};  -{2√7} or {2√7}

It’s the Pythagorean theorem so first you do the exponents

36+ b^2 = 64


64-36=28
__
_/28

5.3~~ approximately

HELEPEPEP HELEPEPPP QUICK!!!!!!

Answers

it’s y =x +32 it should be right

Answer:

y=x+32

Step-by-step explanation:

The initial value is the y-value when the x-value equals zero. In this case, the initial value is 32. In the equation y=mx+b, the initial value is the "b."

The slope is going to be the y-value divided by the x-value.

Count how many numbers to x-value goes up or down. In this case, it's positive 1. Count how many numbers the y-value goes up or down. In this case, it's also positive 1.

Now, divide the y-value by the x-value. It's 1/1, which equals 1.

So, that means that y=x+32 is the answer.

What is the area of this figure? Enter the answer in the box below.

Answers

Answer:

35

Step-by-step explanation:

4 x 2.5 for the triangles is 10

and half of 10 is 5  

5 + 5 = 10  

5 x 5 = 25  

25 + 10 = 35  

The answer is 35.

Answer:

A = 30cm²

Step-by-step explanation:

First, let's find the area of the triangle

Formula: 1/2 bh

The base is half of 5, which is 2.5

A = 1/2 (2.5)(4)

A = 5cm²

Next, let's find the area of the rectangle

Formula: bh

Base = 5cm

Height = 5cm

A = bh

A = (5)(5)

A = 25cm²

Now you add those two.

25 + 5 = 30cm²

A = 30cm²

A bag contains 10 marbles, and 4 of the marbles are black. Joseph chooses 2 marbles at random without replacing the first marble. What is the probability that both marbles are black?

Answers

the probability that Joseph chooses 2 black marbles is 0.1333 or about 13.3%
The percentage would be 13.3%




__

Jeff spends $2.52 per gallon of gas and buys 14 gallons. Anna spends $2.16 per gallon of gas and buys 15 gallons.

​How much more does Jeff spend than Anna on gas?

Answers

Step-by-step explanation:

Jeff spends $2.52 per gallon and buys 14 gallons, so his total expenditure is:

Total spent by Jeff = $2.52/gallon * 14 gallons = $35.28

Anna spends $2.16 per gallon and buys 15 gallons, so her total expenditure is:

Total spent by Anna = $2.16/gallon * 15 gallons = $32.40

To find the difference in their expenditures, we subtract Anna's total from Jeff's total:

Difference = Total spent by Jeff - Total spent by Anna

Difference = $35.28 - $32.40 = $2.88

Therefore, Jeff spends $2.88 more than Anna on gas.

To calculate how much more Jeff spends than Anna on gas, we need to find the difference between their total expenses.

Jeff's total expense = $2.52/gallon * 14 gallons = $35.28
Anna's total expense = $2.16/gallon * 15 gallons = $32.40

The difference in their expenses is $35.28 - $32.40 = $2.88.

Therefore, Jeff spends $2.88 more than Anna on gas.

What is the mean of the data?

Weight of Dogs In the Pet Store
Stem Leaves
0 3, 8
1 0, 1, 4, 7,
2 2, 4, 5
3 5 0 | 3 = 3 pounds
4 0
17
22
19.5
19

Answers

Answer:

C. 19.5

Step-by-step explanation:

I'm 99.9% sure this is correct!

STOMP IF I'M WRONG!

have a good day/night!

It’s C!!!!!!!!!!!!!!!!

What could thy the ansewr diddly dot be?

Answers

Answer:

The answer is B

answer should be b because only Gypsy can found ın drywals

Its Gypsy because its commonly found in drywall and sheetrock

PLEASE HELP!! ThANK YOU

Answers

The answer would be 4 5/8 because if you add all the numbers together that would result with 37. Then you want to find a number inside 37 that can be divided by 8, which would be 32. You will get 4 and the remaining 5 from the fraction stays as 5/8 now you combine the 4 and 5/8.

Answer: i think it is 2 1/8 inches and can you please give brainlest

Step-by-step explanation:

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