Medians and IQRs. For each part, compare distributions (1) and (2) based on their medians and IQRs. You do not need to calculate these statistics; simply state how the medians and IQRs compare. Make sure to explain your reasoning. (a) (1) 3, 5, 6, 7, 9 (2) 3, 5, 6, 7, 20 (b) (1) 3, 5, 6, 7, 9 (2) 3, 5, 7, 8, 9 (c) (1) 1, 2, 3, 4, 5 (2) 6, 7, 8, 9, 10 (d) (1) 0, 10, 50, 60, 100 (2) 0, 100, 500, 600, 1000

Answers

Answer 1
I don’t know that but I think it’s from the NBA so watch one of the videos and you’ll find your answer
Answer 2

For each part, compare distributions (1) and (2) based on their medians and IQRs. The reasoning is explained is given.

What is median?

The median is the value that splits the mathematical numbers or expressions in the half. The median value is the middle number of data point. To find the median, firstly arrange the data points in ascending order.

The middle number in the distribution of the provided data is known as the median. The range of values in the center of the scores is known as the interquartile range, or IQR.

(a). (1) 3, 5, 6, 7, 9 (2) 3, 5, 6, 7, 20

Since all the values are identical except the highest, the distributions' median and IQR will be equal.

(b). (1) 3, 5, 6, 7, 9 (2) 3, 5, 7, 8, 9

The median is higher for the second distribution because in the case of (2) the middle number is larger.

Since the final few digits in the second distribution are higher, the IQR would be wider for the second distribution, resulting in a greater third quartile for the second distribution than the first distribution.

(c).  (1) 1, 2, 3, 4, 5 (2) 6, 7, 8, 9, 10

Given that every number in the second distribution is greater than every other number in the first distribution, the median of the second distribution is higher than that of the first distribution.

Since there are the same number of items in both distributions and each number in both distributions is 1 larger than the preceding number, the IQR of both distributions would be identical.

(d). (1) 0, 10, 50, 60, 100 (2) 0, 100, 500, 600, 1000

Since all the values in the second distribution are higher than those in the first in this situation, the second distribution will have a higher median. Given that the spread of the numbers is wider in the second distribution than it is in the first, the second distribution will likewise have a higher IQR.

Therefore, the reasoning is explained.

To learn more about the median;

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Related Questions

A 2-liter bottle is filled completely with water from a faucet in 10 seconds. How much water is filled into the bottle each second?
Pls who ever sees this (can you pls respond I’m desperate )

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Answer:

2 L/10 sec is equal to the amount of water per second. which would be 0.2 liters per second

HELP Which of the following is NOT a property of a magnet, exerts magnetic force, has magnetic poles, some magnets have two north poles, has a magnetic field

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Answer:

Some magnets have two north poles

Teresa's restaurant bill comes to $29.99 before tax. If the sales
tax is 6.25%, what is the total cost of the meal (including tax)?

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the answer is $37.86 !! hope this helps

13. simplify and factor this expression; 12x+18y+18x D NEED HELP ASAP​

Answers

Answer:

30x+18y

Step-by-step explanation:

12x+18y+18x

combine like terms

30x+18y

Answer:

6 ( 5x + 3y ) did the calculations, just simplified

YALL PLEASE HELP I WILL MARK YOU AS BRAINLEST

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Step-by-step explanation:

But you can search on other applications

Can U tell me U are in which std

Where would the shape located after a reflection across the x-axis?

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I think it would be quadrant 2

Find the sale price of a $70 item after a 20% discount.

Answers

Answer:

$56

ez

Step-by-step explanation:

I think the answer could be 56

I really need help answering this please

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Answer:

Step-by-step explanation:

NM=26

LM=[tex]\sqrt{26^{2} +33^{2} }[/tex]

LM=42.0

can you help me in rule?

I am doing it right?

Answers

The rule would be ~y=4x+3~

Hope this helps

Have a great day/night

Feel free to ask any questions

Complete the square to: n2 + 4n - 8 = 0

Answers

Answer:

(n + 2)² = 12

Step-by-step explanation:

[tex] {n}^{2} + 4n - 8 = 0 \\ {n}^{2} + 4n = 8 \\ {n}^{2} + 4n + 4 = 8 + 4 \\ {(n + 2)}^{2} = 12[/tex]

Select the phrase that best completes the sentence.
-2x + 3 - x = 3x - 15
The equation has:
No solution

One solution x=3

One solution x=-3

Infinity many solutions

Answers

Answer:

No solution

Step-by-step explanation:

HELP PLEASE 20 POINTS
Describe what a solution is for a system of equations and explain how this relates to setting the equations equal to each other?​

Answers

Sorry, can you tell me in Spanish, I don't understand much English, I really want to help you, can you do what I told you? Thanks

If a punch bottle says 10% fruit juice, and it is a 150 milliliter bottle, how many milliliters of fruit juice is in the bottle?

Answers

Answer:

i believe the answer is 15 milliliters

Step-by-step explanation:

Answer:

Figure it out yourself

Step-by-step explanation:

A group of hikers is progressing steadily along an uphill trail. The graph shows their elevation (or height above sea level), in feet, at each distance from the start of the trail, in miles.
What is the slope of the graph? Show your reasoning.

What does the slope tell us about this situation?


Write an equation that represents the relationship between the hikers' distance from the start of the trail, x, and their elevation, y.


Does the equation y-250x=500 represent the same relationship between the distance from the start of trail and the elevation? Explain your reasoning.

Answers

Answer:-2

Step-by-step explanation:y=500+250x

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Answers

Answer:

145

Step-by-step explanation:

145 135 123 134 456 teukr68l67ewi6e5iu

Can some one help plz

Answers

Given:

The parent function is

[tex]f(x)=6\left(\dfrac{1}{8}\right)^x[/tex]

The translated function is

[tex]f(x)=6\left(\dfrac{1}{8}\right)^{x+3}-2[/tex]

To find:

The correct statement from the given options.

Solution:

The translation is defined as

[tex]g(x)=f(x+a)+b[/tex]

Where, a is horizontal shift and b is vertical shift.  

If a>0, then the graph shifts a units left and if a<0, then the graph shifts a units right.

If b>0, then the graph shifts b units up and if b<0, then the graph shifts b units down.

In the parent function we have x in the power but in the translated function we have (x+3). So, a=3>0, the graph shifts 3 units left.

In the translated function, we have b=-2<0, so the graph shifts 2 units down.

The graph of [tex]f(x)=6\left(\dfrac{1}{8}\right)^{x+3}-2[/tex] is a horizontal shift to the left 3 units and a vertical shift down 2 units from the original function [tex]f(x)=6\left(\dfrac{1}{8}\right)^x[/tex].

Therefore, the correct option is A.

Will mark brainliest!! Look at picture for question please

which expression is equivalent to 6Vg^5, if g> 0

Answers

Step-by-step explanation:

Option d is he correct answer.

.....

Option D is correct. Since 6 is the index, it automatically becomes the denominator for a fraction. And since 5 is the exponent, it becomes the numerator. (G is the radicand).

So to simplify this equation, it becomes
g5/6 (5/6 in exponential form.)

Solve the system below"
W
y = - 3x + 17
y = -x + 3
O (7.4)
O (-7,-4)
O (7.-4)

Answers

Answer:

I think its (7,-4)

Step-by-step explanation:

solve x:

plug in y

-x+3=-3x+17

solve

x=7

solve y:

plug in what you got for x

y=-3(7)+17

solve

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can someone help me with a two step equation that is x=3 please its for a math project

Answers

Answer:

Equation: 4x+15=3(x+6)

Step-by-step explanation:

Answer:

4x + 3 = 1(x + 12)

Step-by-step explanation:

Can u explain more?

What is m/3 = -12 I really need help with problem please help

Answers

Answer:

m=-36

Step-by-step explanation:

(3)m/3=-12(3) multiply by three to cancel out

m=-36

hope this helps :)

Question:

m/3 = -12

Answer:

m=-36

-36/3=-12

The points (-16, 12) and (-29, 10) form a line segment.
Write down the midpoint of the line segment.

Answers

Midpoint Definition: The point where a line is perfectly split in half

Coordinates exist in the form of ( x, y )

Generally, you find the midpoint by adding up the two numbers and dividing the sum by 2.

In other words,

Midpoint = ( [tex]\frac{x1+x2}{2} , \frac{y1+y2}{2}[/tex] )

You should get ( -22.5, 11 ) as your answer.

operación 1: (6+(4*12)/12-2)+5​

Answers

Answer:

13

Step-by-step explanation:

6+ (4)(12) /12 −2+5

=6+ 48 /12 −2+5

=6+4−2+5

=10−2+5

=8+5

=13

8.23
x 37
61
14
19
In0.51​

Answers

Answer:

304.51.

Step-by-step explanation:

Your question is kind of confusing but I think your question is 8.23 x 37. The answer to that is 304.51.

19 cm
6 cm
30 cm
The container is 2/3 full of water.
A cup holds 275 ml of water.
What is the greatest number of cups that can be completely filled with water from
the container? (4)

Answers

Answer:

A total of  8 (eight) completely filled cups.

Step-by-step explanation:

Recall that 1 milliliter is the SAME as 1 cubic cm. Therefore, the 275 ml cup holds exactly 275 cm^3 of water.

Now calculate the volume of water in the container. Since the container measures 19 cm x 6 cm x 30 cm, its total volume is:

Volume = 19 x 6 x 30 = 3420 cm^3

The amount of water in it fills 2/3 of its volume, then:

amount of water = 2/3 (3420) = 2280 cm^3

Now to find how many cups can be filled with such amount of water, we do the division:

2280 / 275 = 8.29

Then the maximum number of completely filled cups is: 8

13° N What is the measurement of N? es​

Answers

Answer: ..The 13 N + 12,13 C elastic scatterings have been measured at laboratory energies of 16.3, 20. and 29.5 MeV.

Step-by-step explanation:

Three oil companies, A, B and C, are exploring for oil in an area. The probabilities that they will discover oil are, respectively, 0.40, 0.60 and 0.20. If B discovers oil, the probability that A will also discover oil is increased by 20%. Assume that the chance of C discovering oil is independent of A and B.
i) What is the probability that oil will be discovered in the area by one or more of the three companies?
ii) If oil is discovered in the area, what is the probability that it will be discovered by company C?

Answers

Answer:

Step-by-step explanation:

i )

the probability that oil will be discovered in the area by one or more of the three companies = probability of oil to be discovered by one company + probability that oil will be discovered by two companies + probability that oil will be discovered by three companies.

probability of oil to be discovered by one company = .40 x .40 x .80 + .60 x .60 x .80 + .60 x .40 x .20 = .128 + .288 + .048 = .464

probability that oil will be discovered by two companies = probability to be discovered by A and B and not discovered by C + probability to be discovered by A and C and not discovered by B + probability to be discovered by B and C and not discovered by A

= .40 x .80 x .80 + .40 x .20 x .40 + .60 x .20 x .60

= .256 + .032 + .072

= .36

probability that oil will be discovered by three companies.

= .40 x .60 x .20 = .048

Total probability = .464 + .36 + .048 = .872

ii )

Probability of discovery by C = Probability by C and not by A and B + Probability by C and A and not by B + Probability by C and B and not by A

+ Probability by A , B and C .

= .20 x .6 x .4 + .20 x .40 x .40 +  .20 x .60 x .60 + .40 x .60 x .20

= .048 + .032 + .072 + .048

= .20

If oil is discovered in the area, what is the probability that it will be discovered by company C = .20 / .872

= .23

The probability that oil will be discovered in the area by one or more of the three companies is 86.24%, and if oil is discovered in the area, the probability that it will be discovered by company C is 16.66%.

Given that three oil companies, A, B and C, are exploring for oil in an area, and the probabilities that they will discover oil are, respectively, 0.40, 0.60 and 0.20, and if B discovers oil, the probability that A will also discover oil is increased by 20%, assuming that the chance of C discovering oil is independent of A and B, to determine 1) what is the probability that oil will be discovered in the area by one or more of the three companies, and 2 ) if oil is discovered in the area, what is the probability that it will be discovered by company C, the following calculations must be made:

1)

The discovery probabilities of 1, 2 or 3 companies must be added. (0.40 x 0.40 x 0.80 + 0.60 x 0.60 x 0.80 + 0.60 x 0.40 x 0.20) + (0.48 x 0.60 x 0.80 + 0.40 x 0.60 x 0.20 + 0.60 x 0.60 x 0.20) + (0.40 x 0.60 x 0.20) + (0.40 x 0.60 x 0.20) (0.128 + 0.288 + 0.048) + (0.2304 + 0.048 + 0.072) + 0.048 = X 0.464 + 0.3504 + 0.048 = X 0.8624 = X

2)

1.20 = 100 0.20 = X 0.20 x 100 / 1.20 = X 20 / 1.20 = X 16.66 = X

Therefore, the probability that oil will be discovered in the area by one or more of the three companies is 86.24%, and if oil is discovered in the area, the probability that it will be discovered by company C is 16.66%.

Learn more about maths in https://brainly.com/question/26138968

3y - 8 = -3(4 - 2x)
Step 2 of 2: Find the equation of the line which passes through the point (- 12. -3) and is parallel to the given line Express
your answer in slope-intercept form. Simplify your answer.

Answers

Answer:

y=2x+21

Step-by-step explanation:

Look at attached pictures for further explanation

Do This
The following details are notes in meters in the field book of a surveyor. Find the area of the fields.​

Answers

Answer:

8900

Step-by-step explanation:

there are 4 triangles and 1 trapezoid in the shape

the area of first triangle

½×40×60

20×60

1200

the area of second triangle

½×(30+60)×60

½×90×60

30×90

2700

the area of third triangle

½×(40+30)×60

½×70×60

30×70

2100

the area of fourth triangle

½×30×30

15×30

450

the area of the trapezoid

½×(30+40)×(30+40)

½×70×70

35×70

2450

the area of the field

1200+2700+2100+450+2450

8900

note: the attached shape is got from the table and the shape is not made to accuracy

NOLUR DOGRU CEVAP VE ANLATIMLI OLSUN doğrusu na 30 puan​

Answers

Answer:

Step-by-step explanation:

A'nın dört olası değeri vardır: 16, 17, 18, 19

Answer:

Step-by-step explanation:

cevap d şıkkı yani 6

An expression is shown. (3x^2+2x-5) -(5x^2-4x+1)

Answers

Step-by-step explanation:

solve the equation by placing correct sign

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