Why is the median​ resistant, but the mean is​ not?
Choose the correct answer below.
A.
The median is​ resistant, while the mean is​ not, because when there are extreme values in the​ tail, the value of the median changes while the mean does not.
B.
The mean is not resistant because when data are​ skewed, there are extreme values in the​ tail, which tend to pull the mean in the direction of the tail. The median is resistant because the median of a variable is the value that lies in the middle of the data when arranged in ascending order and does not depend on the extreme values of the data.
C.
The mean is not resistant because when data are​ skewed, there are extreme values in the​ tail, which do not pull the mean in that direction.​ However, the median is pulled in the direction of the extreme​ values, making it resistant.
D.
The mean is not resistant because it is dependent upon the sample​ size, n. The larger n​ is, the smaller the mean becomes.​ However, the median is resistant because it is not dependent on the sample​ size, n.

Answers

Answer 1

Using the concepts of the mean and the median, the correct option is given by:

B.

The mean is not resistant because when data are​ skewed, there are extreme values in the​ tail, which tend to pull the mean in the direction of the tail. The median is resistant because the median of a variable is the value that lies in the middle of the data when arranged in ascending order and does not depend on the extreme values of the data.

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

The mean of a data-set is given by the sum of all of the values in the data-set divided by the cardinality of the data-set, that is, the number of values it has.The median is the 50th percentile, that is, the measure that splits the data-set, when sorted ascendingly, in half, one-half having the lower 50% of the measures, and the other having the upper 50%.From this, we can conclude that since the mean involves all values, it can be affected by outliers, which are values on the tails, while the median is not.Thus, the correct option, which states the bullet point above, is option b.

A similar problem is given at https://brainly.com/question/24097242


Related Questions

An engineer has designed a valve that will regulate water pressure on an automobile engine. The valve was tested on 150 engines and the mean pressure was 6.3 pounds/square inch (psi). Assume the population variance is 0.49. If the valve was designed to produce a mean pressure of 6.2 psi, is there sufficient evidence at the 0.05 level that the valve does not perform to the specifications?

Answers

Answer:

We are given that The valve was tested on 150 engines and the mean pressure was 7.7 lbs/square inch.

We are also given that the valve was designed to produce a mean pressure of 7.6 lbs/square inch

So,  

Null hypothesis:  

Alternate hypothesis :  

Since n > 30 and population standard deviation is given

So, We will use z test

Formula :  

Substitute the values

refer the z table for p value

so, p value is 0.9927

Since it is a two tailed test So, p = 2(1-  0.9927) = 0.0146

α = 0.1

p value< α

So, we reject null hypothesis

Hence There is  sufficient evidence at the 0.1 level that the valve does not perform to the specifications

Step-by-step explanation:

No, there is insufficient evidence at the 0.02 level that the valve does not perform to the specifications.

Step-by-step explanation:

We are given that an engineer has designed a valve that will regulate water pressure on an automobile engine. The valve was tested on 170 engines and the mean pressure was 7.5 pounds/square inch (psi). Assume the population variance is 0.36 and the valve was designed to produce a mean pressure of 7.4 psi.

We have to test if there sufficient evidence at the 0.02 level that the valve does not perform to the specifications.

Let, NULL HYPOTHESIS, H_0H

0

: \muμ = 7.4 psi {means that the valve perform to the specifications}

ALTERNATE HYPOTHESIS, H_1H

1

: \mu\neqμ

= 7.4 psi {means that the valve does not perform to the specifications}

The test statistics that will be used here is One-sample z-test;

T.S. = \frac{\bar X - \mu}{\frac{\sigma}{\sqrt{n} } }

n

σ

X

ˉ

−μ

~ N(0,1)

where, \bar X

X

ˉ

= sample mean pressure = 7.5 psi

\sigmaσ = population standard deviation = \sqrt{Variance}

Variance

= \sqrt{0.36}

0.36

= 0.6

n = sample of engines = 170

So, test statistics = \frac{7.5-7.4}{\frac{0.6}{\sqrt{170} } }

170

0.6

7.5−7.4

= 2.173

Now, at 0.02 significance level z table gives critical value of 2.3263. Since our test statistics is less than the critical value of z so we have insufficient evidence to reject null hypothesis as it will not fall in the rejection region.

Therefore, we conclude that the valve perform to the specifications and there is not sufficient evidence at the 0.02 level that the valve does not perform to the specifications.

If MP is a perpendicular bisector to LN, find each value (picture attached)

Answers

Answer:

x=4, MN= 37, LM= 37, y=7.

Step-by-step explanation:

If MP is a perpendicular bisector to LN, then NP and LP are equivalent.

(Solve for y)

2y+2= 16

(Move the +2 to the right side of the equation)

2y= 14

(Divide both sides by 2 to isolate the variable)

y=7

To find x and the measure of MN and LM, solve for x in the following equation:

7x+9 = 11x-7

(Move 7x to the right side of the equation)

9 = 4x-7

(Move -7 to the right side of the equation.)

16= 4x

(Divide both sides by 4 to isolate the variable.)

4= x

Plug x back into both equations to get the measure of MN and ML

MN=7(4)+9

MN= 28+9

MN= 37

LM= 11(4)-7

LM= 44-7

LM= 37

I hope this helps!

Answer:

f

Step-by-step explanation:

I kinda need I’ll give you 100 points

Answers

Answer:

the second one makes more sense

Answer:

This question answer is defenetily answer B ( there is a slight association between hieght and weight)

Step-by-step explanation:

Because of how the number line is set up I do believe your answer will be B  Just remember the way the number line is set up when you put the number line there and how the dots of where the number line goes plays a huge part in finding your answers. :)

Hope this helps!!!!!!!!! :)

ILL MARK BRAINLIST , PLS HELL

Answers

Answer:

All the four steps are correct

Step-by-step explanation:

All the four steps are correct

can somebody help me with these, i will mark you brainliest :)

Answers

Answer:

1). sin 30°=5/x

1/2=5/x

x=10

2)sin 30°=y/18

1/2=y/18

y=9°

cos 30°=x/18

√3/2=x/18

x=93

3) option D is correct

because cosine ratio is base / hypotenuse.

4) option c is correct.

1. Solve using polynomial long division x? - 4x² + 2x + 5 Divide: X-2​

Answers

Answer : x^2 - 4x^2 - 2x^2 + 3

Please I really need help!

Answers

Answer:

26 if we not adding then -12

Step-by-step explanation:

The total area of the polygon is 176 square feet. Find the value of x.

Answers

Answer:

x = 6 ft

Step-by-step explanation:

Total area of the given polygon = Area of triangle 1 + Area of rectangle 2 + Area of triangle 3

Area of triangle 1 = Area of triangle 3 = [tex]\frac{1}{2}(\text{Base})(\text{Height})[/tex]

                                                              = [tex]\frac{1}{2}(x)(8)[/tex]

                                                              = 4x square feet

Area of rectangle 2 = Length × Width

                                 = 16 × 8

                                 = 128 square feet

Total area of the given polygon = 4x + 128 + 4x

176 = 8x + 128

8x = 176 - 128

x = [tex]\frac{48}{8}[/tex]

x = 6 ft

Answer:

The answer is six to one of the sides

Step-by-step explanation:

Total area of the given polygon = Area of triangle 1 + Area of rectangle 2 + Area of triangle 3

Area of triangle 1 = Area of triangle 3 =

                                                             =

                                                             = 4x square feet

Area of rectangle 2 = Length × Width

                                = 16 × 8

                                = 128 square feet

Total area of the given polygon = 4x + 128 + 4x

176 = 8x + 128

8x = 176 - 128

x =

x = 6 ft

A window is in the form of a rectangle capped by a semicircle. The width of the rectangular portion is equal to the diameter of the semicircle. If the total perimeter of the window is 20 feet, what is the maximum possible area of the window

Answers

Answer:

The answer is below

Step-by-step explanation:

Let x be the diameter of the semicircle. radius = x/2

The window is a combination of a rectangle and semicircle.

Width of window = diameter = x, let length of the window = y.

Perimeter of semicircle = πr = πx/2

Perimeter of window = x + y + y + πx/2

20 = x + 2y + πx/2

2y + x + πx/2 = 20

2y = 20 - x(1 - π/2)

y = 10 - x(1 - π/2)/2

Area of semicircle = (1/2)πr² = (1/2)π(x/2)²

Area of window = xy + (1/2)π(x/2)²

A = x(10 - x(1 - π/2)/2) + πx²/8

A = 10x - x² - πx²/4 + πx²/8

A = 10x - x² - πx²/8

The maximum area is at dA / dx = 0

dA / dx = 10 - 2x - 2πx/8

0 = 10 - 2x - πx / 4

2x + πx / 4 = 10

2.785x = 10

x = 3.59 feet

Maximum area = 10x - x² - πx²/8 = 10(3.59) - 3.59² - π(3.59²) / 8

Maximum area = 17.95 feet²

6. 10 X 10 X 10
exponent form:
word form:

Answers

Answer:

the exponent is 10 ^ 3 and the word form is ten times ten times ten

Step-by-step explanation:

if you need more help just ask

Determine whether the following is an example of a sampling error or a non sampling error.

12% of all people are left handed. A researcher randomly selected 200 people and found that 16% of them were left handed. No mistakes were made in the data collection or data recording. The 4% difference is due to ...

Answers

Answer:

Sampling Error

Step-by-step explanation:

We are told that 12% of all people are left handed.

Now, from the sampling done, we are told that 16% of them were left handed.

This is a 4% difference.

However, we are told that no mistakes were made in the data collection or data recording.

This means that it is likely the error came from the fact that the 200 people sampled didn't reflect the total population because the 12% reflects the true population.

Thus, this is clearly a sampling error.

help me please thanks

Answers

I think b ! I’m not sure tho

please answer number 3. what does the y int mean in the context of this problem?

Answers

Answer:

ıts increase

Step-by-step explanation:

There are 88 seats in a theater. The seating in the theater is split into 4 identical sections. Each section has 14 red seats and some blue seats.

Create an equation to represent this situation.

Answers

Answer:

there are 8 blue seats

Step-by-step explanation:

if ⅚ of a certain number is -6⅔. what is the number?​

Answers

The answer would be -3 4/3

Step-by-step explanation:

ok ok ok ok I'm very sorry if i get it wrong at least I tried on this app most of the people don't even do the homework they do it to cheat.

Answer:

Dan and Paul share some money in the ratio 13:5.

Dan decides this is unfair so he gives Paul £32 of his share to make the ratio 1:1.

How much did Paul originally have

Please help easy maths and quick. Please explain the answer first or last and make sure to say the answer is: Or something like that

Answers

Answer:

15

Step-by-step explanation:

Answer is 15 becouse these two degrees are equal

60 - 45 = 15

the answer is 15 x - 15

Help please! This is timed!

Answers

Answer: 14

Step-by-step explanation:

think of it like a right triangle

a²+b²=c²

13²+5²=194

ladder length= √194= 13.92≈14

Find the average rate of change for the given function over the indicated values of x. If necessary, round your final answer to two decimal places.


f(x)=x^2+6x, where x goes from 5 to 7.

Answers

Answer:

The average rate of change of the function in this interval is of 18.

Step-by-step explanation:

The average rate of change of a function [tex]f(x)[/tex] in an interval from a to b is given by:

[tex]A = \frac{f(b) - f(a)}{b - a}[/tex]

In this question:

[tex]f(x) = x^2 + 6x[/tex]

Where x goes from 5 to 7.

This means that [tex]b = 7, a = 5[/tex]. So

[tex]f(7) = 7^2 + 6(7) = 49 + 42 = 91[/tex]

[tex]f(5) = 5^2 + 6(5) = 25 + 30 = 55[/tex]

The rate of change is:

[tex]A = \frac{f(7) - f(5)}{7 - 5} = \frac{91 - 55}{2} = 18[/tex]

The average rate of change of the function in this interval is of 18.

The rate of change of a function over a given interval is required.

The average rate of change is 18

Rate of change

The given function is

[tex]f(x)=x^2+6x[/tex]

The interval is between [tex]x=5[/tex] to [tex]x=7[/tex]

Finding the corresponding [tex]y[/tex] values

[tex]y=5^2+6\times 5=55[/tex]

[tex]y=7^2+6\times 7=91[/tex]

The two points are

[tex](5,55),(7,91)[/tex]

The slope is

[tex]m=\dfrac{\Delta y}{\Delta x}\\\Rightarrow m=\dfrac{91-55}{7-5}\\\Rightarrow m=18[/tex]

Learn more about rate of change:

https://brainly.com/question/8728504

Sams budget is 3000$ she uses $1400 for rent. What percent of her budget was used on rent? Will pay 30 points

Answers

Answer:

HER PERCENT WAS 46.67

Step-by-step explanation:

Answer:

1600 is the answer, this isn't 30 points lol ✨⌒(>。≪)

please help me i am stuck trying to figure this out ​

Answers

I believe the answer is C

I think it is C I hope that it

PERIMETER OF A RECTANGLE
1.5m height
2.0m width

Answers

THE ANSWER IS:
THE PERIMETER IS 3.5 :) have a nice night or day

Answer:

7.0m

Step-by-step explanation:

=2h ×2w

=2(1.5m)+2(2.0m)

=7.0m

What is the area of an rectangle with sides lengths of 5/12 foot and 2/3 foot​

Answers

Answer:

The area of given rectangle is 5/18 square feet.

Step-by-step explanation:

Let l be the length of rectangle and w be the width of the rectangle.

Given information is:

Length = l = 5/12 foot

Width = w = 2/3 foot

The area of a rectangle is given by the formula

[tex]Area = Length*Width\\A = l*w[/tex]

Putting the values for width and length

[tex]A = \frac{5}{12} * \frac{2}{3}\\= \frac{10}{36}\\=\frac{5}{18}[/tex]

The area is 5/18 square feet.

Hence,

The area of given rectangle is 5/18 square feet.

I GIVEEEEEEEEEEEEEE BRAINLILSTTT

Answers

Answer:

(x,y) → (x -3, y-8)

Step-by-step explanation:

jsienzis

HELLLLLLLLPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPP

What is the distance between (3, 5.25) and (3, –8.75)?
6 units
8.25 units
11.75 units
14 units

Answers

Answer:

14

Step-by-step explanation:

Answer:

D 14

Step-by-step explanation:

Which tables shows a proportional relationship between X and Y.

Answers

Answer:

the secound option :)

Please help me with this I really need it my grades are trash. Look at the file attached. just tell me which ones are equivalent thanks!

Answers

Answer:

Top left, top right, bottom right

Step-by-step explanation:

Combine all of them together. I'll use the top left and middle left as my example. We will need to end up with 2 positive x's, 5 negative y's and the number 3.

x + x - y + 1 + 1 + 1 - y - y - y -y

We can see here there are 2 positive x's, 5 negative y's, and the number 3.

If we were to write that into an equation it would be 2x - 5y +3

With the middle left we have

-5y - x -x + 2 + 1

Here we have 2 negative x's, 5 negative y's, and the number 3.

If this were simplified it would be -2x - 5y + 3. We don't want the 2x to be negative therefore it is incorrect.

Solve for x:
1 ½ - ( 5/6x + ⅓ ) = 8/9

Answers

Answer:

its x=1/3 :)))

Which equation would you use to solve the following situation?

If everybody on the team scores 4 points, and the team has a total of 28 points, how many people are on the team?

7 p = 28
4 p = 28
28 - p = 4
4 + p = 28

Answers

Answer:p=7

Step-by-step explanation:because 4 x 7 =28

PLEASE HELP!
If Southbrook Middle School has 850 students, then how many students participate in the various number of sports: I download a picture with the question. Thank You!

Answers

Answer:

102 Non-Participation

357 One sport

238 Two sports

153 Three sports

Step-by-step explanation:

What fraction below is NOT equivalent to 1/5? *

5/25

2/10

3/8

4/20

3/4 _______ 9/12 *


=

In the problem, 156 divided by 12 = 13, what number is the "divisor?" *

156

12

13

The fractions 4/7 and 12/21 are equivalent fractions. *

True

False

What is the "difference" between 73.51 and 6.392? *

What is the "product" of 30 and 6? *

36

24

180

5

What is 4 2/5 written as an improper fraction? *

18/5

11/5

22/5

42/5

1/9 _______ 1/12 *


=

What fraction below is NOT a proper fraction. *

7/4

4/7

6/11

8/9

The fractions 2/16, 3/24, and 4/32 are ALL equivalent to what fraction? *

1/3

1/4

1/6

1/8

Giving Brainliest, It'll mean much if you'll try to help me with this! And correct me if i'm wrong but, Brainliest is VERY usefull! And yeah good luck! :D

Answers

1.3/8 I THINK
2.12
3.True
4.67.118
5. 180
6. 22/ 5
7. 7/4
8.1/8

I hope It'll help you!
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