What is a possible explanation for why median and interquartile range are the preferred measures of center and variation when a data set contains outliers?

Answers

Answer 1

Answer: The median is the middle number in a data set, better than a mean because in a mean, those outliers are part of the average. The IQR is the middle 50% of a data set, better than a regular range because it excludes any outliers on either end.

(っ◔◡◔)っ ♥

Hope this helps.

MM4343

Answer 2

The median and interquartile range are often preferred measures of center and variation when a data set contains outliers because they are robust to outliers.

What is interquartile range?

The interquartile range (IQR) is a measure of data set variability or spread. It is the difference between a distribution's third and first quartiles (Q3), and it represents the range of the middle 50% of the data.

When a data set contains outliers, the median and interquartile range are often preferred measures of center and variation because they are robust to outliers.

Outliers are extreme values that are far outside the range of the remaining data points and can have a significant impact on measures of center and variation such as the mean and standard deviation.

Thus, when there are outliers in a data set, using the median and IQR as measures of center and variation, respectively, can provide a more accurate representation of the data set's central tendency and variability than using the mean and standard deviation, which are more sensitive to outliers.

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Related Questions

Help pls!
i have to turn this in soon!

Answers

Answer:

100%

Explanation:

To find percent increase, you first have to find the difference between the two values.

16 - 8 = 8

Next, you divide this new answer by the original value.

8 ÷ 8 = 1

Finally, you multiply by 100 to find your percent increase.

1 × 100 = 100%

i’m pretty sure it’s 100

solve the number line fraction

Answers

Answer:

The firsy option is correct.

Step-by-step explanation:

[tex]\frac{5}{16}[/tex] + 1 [tex]\frac{8}{16}[/tex]

the first option is correct

in a survey the ratio of people who bought red ballons to green ballons is 2 to 5 if the number of people who surveyed who brought red ballons is 620 how many people brought green balloons

Answers

Answer:1550

Step-by-step explanation:620 times 5 divided by 2

If 2 is red then green is 1,550

HELp
what the least possible digit u can make using 2,0,2,3. AND this number has to be divisible by 4

Answers

Answer:

0232

Step-by-step explanation:

0232/4 = 58

Find the value of x. Assume that segments that appear to be tangent are tangent

Answers

Answer:

i think you did not put a photo

Step-by-step explanation:

this cant be solved

Suppose that you know that angle t and angle s are supplementary, and that the measure of angle t = 3 times the measure of angle s.
How can you find the measure of angle t ?

Answers

Answer: 135 degrees

Step-by-step explanation:

Supplementary angles are those angles that sum up to 180 degrees. For example, angle 130° and angle 50° are supplementary angles because the sum of 130° and 50° is equal to 180°.

Using that, you know that angles t and s are equal to 180 degrees. You also know that angle t is 3 times the measure of angle s.

Therefore, we can create this equation.

3s + s = 180

4s= 180

s = 45

Angle s is 45 degrees.

180 - 45 = 135

Angle t is 135 degrees.

Help me with these………

Answers

Answer:

5)= U(-3,0), M(-1,4), L(-2,0)

6)= R(-4,2), D(-4,5), L(0,2)

Step-by-step explanation:

The x shouldn't change. If this isn't correct, I apologize. But I'm sure I calculated this right.

The coordinates of the figure after a translation of 5 units up is U' ( -3 , 1 ) , M' ( -1 , 4 ) and L' ( -2 , 0 )

The coordinates of the figure after a translation of 3 units up is R' ( -4 , 0 ) , D' ( -4 , 4 ) , L' ( 0 , 3 ) and F' ( 0 , 0 )

What is Translation?

A translation moves a shape up, down, or from side to side, but it has no effect on its appearance. A transformation is an example of translation. A transformation is a method of changing a shape's size or position. Every point in the shape is translated in the same direction by the same amount.

A translation in the coordinate plane moves every point on a figure a given distance in a given direction. The position of any point (x, y) on the figure changes to (x + a, y + b), where a and b are real numbers.

Given data ,

Let the translated figure be represented as A

Now , the coordinates of the figure are

a)

The coordinates of the figure are U ( -3 , -4 ) , M ( -1 , -1 ) and L ( -2 , -5 )

And , when the translation is up , the y coordinate increases by d units

The coordinates of the figure after a translation of 5 units up is U' ( -3 , 1 ) , M' ( -1 , 4 ) and L' ( -2 , 0 )

b)

The coordinates of the figure are R ( -4 , -3 ) , D ( -4 , 0 ) and L ( 0 , 0 ) and F ( 0 , -3 )

And , when the translation is up , the y coordinate increases by d units

The coordinates of the figure after a translation of 3 units up is R' ( -4 , 0 ) , D' ( -4 , 3 ) , L' ( 0 , 3 ) and F' ( 0 , 0 )

Hence , the translation is solved

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a
35°

b
48°

c
69°

d
78°

Answers

Answer:

Answer is in the attached photo.

Step-by-step explanation:

Solution

The solution is in the attached photo, do take note to solve this question, angles properties must be used.

Answer:

x=48°

Step-by-step explanation:

We can see the line at the top. 52°+y+59°=180° because these angles are supplementary angles. We can solve this problem:

52°+y+59°=180°

y=180-52-59

y=180-111

y=80-11

y=69°

because the angles in a triangle add up to 180°, y+63°+x=180°, or

69°+63°+x=180°

We can solve it from here:

69+63+x=180

120+12+x=180

132+x=180

x=180-132

x=80-32

x=48°

PLEASE MARK AS BRAINLIEST

Miguel will spend at least $33 on gifts. So far, he has spent $15. What are the possible additional amounts he will spend?
Use C for the additional amount (in dollars) Miguel will spend.
Write your answer as an inequality solved for C.

Answers

Answer:

$18

Step-by-step explanation:

$33-$15(he spent them)

=$18

C=$18

The tree grew from 32 ft to 45 ft in the span of ten years.
Find the percent change to the nearest whole percent

Answers

Answer:

40.63% to the nearest whole percent is 41

Step-by-step explanation:

(45 - 32) / 32) * 100 = 40.63 %

To round 40.63 to the nearest whole number consider the tenths’ value of 40.63, which is 6 and equal to or more than 5. Therefore, we have to round up: the whole number part of 40.63, 40, increases by 1 to 41, and the decimal point and all digits (.63) are removed...

40.63 rounded to the nearest whole number = 41

In how many ways can a group of 4 boys be selected from 10 if the oldest boy is included in each group?

Answers

Answer: 84 (look at the image for the solution)

Step-by-step explanation:

Can someone explain 3, 4, and 5 ?

Answers

Answer:

3. B

Step-by-step explanation:

3. B

This is because if you find the GCF of 6 and 12 you will get 3.

3(p+m) hence why three is at the beginning.

you will then divide 6 and 12 by three and put them inside the parentheses with their corresponding variable.

3(2p+4m)

if you multiply this you will get

6p+ 12m

Answer:

Step-by-step explanation: for 3 you have yo find what is equivalent to 6p+12m so the answer is c. 6(p+12M) for 4 you are explaining what will happen if g is 1 and g is 3.  for 5 you have to explain what is the constant rate.

50 POINTS AND BRAINLIEST TO CORRECT ANSWER!!
The sum the age of a boy and his sister is 32 years. If the boy is 6 years older than his sister, how old is his sister?
TYVM!! :)

Answers

Answer:

The sister is 13 years old.

Step-by-step explanation:

Let the boy's age = b.

Let the sister's age = s.

b + s = 32

b = s + 6

s + 6 + s = 32

b = s + 6

2s + 6 = 32

b = s + 6

2s = 26

b = s + 6

s = 13

b = 13 + 6

s = 13

b = 19

Answer: The sister is 13 years old.

help me pls thanks :) (also i need to finish my topics fast so i need answers and an explaination)

Answers

Answer: look at the image for the answer and the explanation

Step-by-step explanation:

Please answer all questions and number your answers.

Answers

3(x+4)=3x+12.
5(z+6)=5z+30
9(2n+1)=18n+9
4s+2s=6s
6(s-9)=6s-54


Verified answers
6 (s - 9)

6s + 6 *- 9

6s - 54

The first person was right

pls helpp it is urgent

Answers

Answer:

it's answer choice (4)

Step-by-step explanation:

you would multiply 80 by 48 to get the total number of markers in large boxes and then multiply 34 by 20 for the total number of markers in small boxes and add them up for all markers in total. hope this helps

It takes 10 mins to fill a bath with just the hot tap and 15 minutes to fill it just with the cold tap.

How long wikll it take to fill the bath if you run both taps at once?

Please give a equation or the steps of solving, thanks a lot!

Answers

Answer:   6 minutes

===========================================================

Explanation:

Let's say the tub is 30 gallons. I'm picking this number because it's the LCM of 10 and 15. Picking the LCM means that later division operations result in a whole number.

The hot tap takes 10 minutes to fill the tub. Its rate is 30/10 = 3 gallons per minute.

Rate = (amount done)/(time)

The cold tap works at a rate of 30/15 = 2 gallons per minute.

When both taps are running at the same time, they combine to a total rate of 3+2 = 5 gallons per minute. Therefore, it will take 30/5 = 6 minutes if both taps are opened.

Time = (amount done)/(rate)

-------------------------

Another approach:

The hot water tap takes 10 minutes to do 1 job. That "1 job" refers to "fill the bathtub". The unit rate here is 1/10 of a job per minute.

Meanwhile, the cold tap has a unit rate of 1/15 of a job per minute.

The combined rate is 1/10 + 1/15 = 3/30+2/30 = 5/30 = 1/6 of a job per minute.

x = number of minutes it takes to fill the bathtub if both taps are going at once.

We can say:

(unit rate)*(time) = amount done

(1/6 of a job per min)*(x minutes) = 1 job

(1/6)x = 1

x = 6 minutes is the final answer

-------------------------

Another approach:

The template for problems like this is:

1/A + 1/B = 1/C

where

A = amount of time for the hot tap water (working alone)B = amount of time for the cold tap water (working alone)C = amount of time if the two taps work together

We end up with the equation

1/10 + 1/15 = 1/x

This can be rearranged into

(1/10+1/15)x = 1

and also rearrange into

(1/6)x = 1

Follow the steps mentioned earlier to end up with 6 minutes as the final answer

You flip a coin and draw a marble at random from a bag containing two purple marbles and one white marble The number of possible outcomes in the sample space is

Answers

Answer:

6 possible outcomes

Step-by-step explanation:

Given:

Flip a coin

Draw a marble at random  from a bag containing two purple marbles and  one white marble

To Find:

The possible outcomes = ?

Solution:

By Flipping a coin, we have two outcomes, either head or tail

For each of these outcomes we will either tale any one of the balls from the  bag

So possible outcomes will be

Head - purple ball

head -purple ball

Head -white ball

Tail  - purple ball

Tail  -purple ball

Tail  -white ball

So there are 6 possible outcomes.

When given a set of cards lying face down that spell M, A, T, H, F, A, N, determine the probability of randomly drawing a consonant.

six halves
six sevenths
five sevenths
two sevenths

Answers

Answer: five sevenths

Step-by-step explanation:

To determine the probability of randomly drawing a consonant from the set of cards, we first need to identify the consonants in the given letters: M, A, T, H, F, A, N.

From this set of letters, the consonants are M, T, H, F, and N. There are 5 consonants out of a total of 7 letters.

To calculate the probability, we divide the number of favorable outcomes (drawing a consonant) by the total number of possible outcomes (drawing any letter).

The probability of randomly drawing a consonant is:

Number of favorable outcomes: 5 consonants

Total number of possible outcomes: 7 letters

Therefore, the probability of randomly drawing a consonant is 5/7.

Expressing it as a fraction, the probability is five sevenths.

Therefore, the correct answer is five sevenths.

20 POINTS MATHEMATICS!! QUESTION IN THE IMAGE
What is the volume of these two prisms added together?
A) 408 in.3
B) 336 in.3
C) 264 in.3
D) 72 in.3

Answers

Answer:

408 in³

Step-by-step explanation:

I did the math so hopefully its correct. I'm pretty sure it is.

prism is a polyhedron with two parallel, congruent faces called bases that are polygons . The volume of a 3 -dimensional solid is the amount of space it ...
Missing

Maya measured the height of the seedling she was growing. She made a line plot to record the data. 1/2 is xx, 5/8 is xx, 3/4 is xxxx, 7/8 is xx. What was the growth, in inches, Maya's seedling?

Answers

Answer:

2 3/4 (mixed #) or 1.08267716536 (in conversion)

Step-by-step explanation:

the process is shown on the picture

Elsa and Anna are running a race. Elsa is running at a rate of 2 meters per second and Anna is running at a rate of 1.75 meters per second. If Anna is given a 10 meter head start, how many seconds would it take for Elsa to catch up? Use an equation or system of equations to solve.

Answers

Answer:

87.5 sec or about 1.45 minutes

Step-by-step explanation:

A student wants to know the approximate distance between London and Beijing. Using a string, she finds that the distance on a globe between London and Beijing is about 36 centimeters and between London and New York is about 22 centimeters. The actual distance between London and New York is about 5000 kilometers. If she lets d represent the approximate distance in kilometers between London and Beijing, what is d rounded to the nearest whole number?

Answers

Answer: 8182

Step-by-step explanation:A correct proportion to use is 22 over 5,000 = 36 over d

At a school carnival, the diameter of the mat of a trampoline is 16 feet and the diameter of its metal frame is 18 feet. What is the length, in feet, of the metal frame that surrounds the trampoline? Use 3.14 for π and round your answer to the nearest tenth.

a
50.2 feet

b
56.5 feet

c
100.5 feet

d
113.0 feet

Answers

The length of the metal frame that surrounds the trampoline can be calculated by subtracting the diameter of the mat from the diameter of the metal frame and then multiplying by π.

The diameter of the mat is 16 feet and the diameter of the metal frame is 18 feet, so the difference is 18 - 16 = 2 feet.

The length of the metal frame can be calculated as follows:

Length = π * (difference in diameter) = 3.14 * 2 feet = 6.28 feet

So, the length of the metal frame is 6.28 feet, which is closest to option a, 50.2 feet. The answer is therefore a.

The average grain of salt is 0. 0003 meters wide. Rhinovirus, which causes the common cold, is 0. 00000003 meters wide. How many times wider is a grain of salt than Rhinovirus? Choose the correct answer. A. 1 × 102 times B. 1 × 103 times C. 1 × 104 times D. 1 × 105 times

Answers

Number of times a grain of salt is wider than Rhinovirus

= width of average grain of salt / width of rhinovirus

=0.0003 / 0.00000003

=1 × 10^4

Hence, the number of times a grain of salt is wider than Rhinovirus is 10,000 times.

Does the following table show a proportional relationship between the variables xxx and yyy?

xxx \dfrac56

6

5



start fraction, 5, divided by, 6, end fraction \dfrac{25}{6}

6

25



start fraction, 25, divided by, 6, end fraction \dfrac{125}{6}

6

125



start fraction, 125, divided by, 6, end fraction

yyy 222 101010 505050

Choose 1 answer:

Choose 1 answer:


(Choice A)

A

Yes


(Choice B)

B

No

Answers

The correct option regarding whether the table shows a proportional relationship is given as follows:

Yes.

What is a proportional relationship?

A proportional relationship is defined as follows:

y = kx.

In which k is the constant of proportionality.

The constant for a pair (x,y) is given as follows:

k = y/x.

When x = 5/6, y = 2, hence the constant is given as follows:

k = 2/(5/6)

k = 12/5

k = 2.4.

When x = 25/6, y = 10, hence the constant is given as follows:

k = 10/(25/6)

k = 60/25

k = 2.4.

When x = 125/6, y = 50, hence the constant is given as follows:

k = 50/(125/6)

k = 300/125

k = 2.4.

Same constant, hence the table in fact represents a proportional relationship.

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20 points mathamatics!

Answers

Answer: 160

Step-by-step explanation:

Answer: 160m3

Step-by-step explanation:

For the first prism, you find the volume by multiplying the length of the prism by the width of the prism by the height of the prism.

V = w h l = 8m x 3m x 2m = 48m3

For the second prism, you do the same thing you did to the first one.

V = w h l = 4m x 4m x 7m = 112m3

Lastly, you add the volume of both prisms to get your answer.

48m3 + 112m3 = 160m3

P.S. Can you add me for brainliest

Help with this please.

Answers

Answer: look at the image for the answer and the explanation

Step-by-step explanation:

-5 = ___ + 6
what is the blank pls help :))))

Answers

Answer:

-11

Step-by-step explanation:

6 + -11 is like 6 - 11

6 - 11 = -5

What do you call it when 50 people stand on a wooden dock math worksheet answers

Answers

Answer:

When two angles in a plane share a vertex and a side but no common interior points, they are called ADJACENT angles

Step-by-step explanation:

brainlyness, please

Answer: When two angles in a plane share a vertex and a side but no common interior points, they are called ADJACENT angles.

Step-by-step explanation:

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