given that there is one possible outlier. if the outlier was removed from the data set, how would it effect the measures of central tendency? {8, 73, 74, 75, 79, 85, 85, 92, 94}
(not links)
O Mean increases median decreases
O Mean decreases median increases
O Both mean and median increase
O Both mean and median decrease

Answers

Answer 1

Answer:

Some measures I believe you are talking about are mean, median, mode, and range.

Mean is the average of all values. This is found by adding up all numbers and dividing by the amount of numbers. Outliers greatly affect and "throw off" the mean, making it inaccurate at calculating the average without an outlier.

Example:

1, 2, 4, 6, 10

(1 + 2 + 4 + 6 + 10)/5 = mean = 4.6

1, 2, 4, 6

(1 + 2 + 4 + 6)/4 = mean = 3.25

Because of this, mean does change when adding and removing outliers, and is therefor not the answer.

Median is the middle of the data. This is found by ordering the values in the data set from least to greatest (or greatest to least, either one works) and finding the number in the center of all the values. If there were an outlier, the median wouldn't be skewed as the mean is by outliers, but it would change.

Example:

1, 2, 4, 6, 10     Median = 4

1, 2, 4, 6           Median = 3

So median is not the answer, because it is affected by adding and removing outliers.

Mode is the value in a data set that appears the most. Outliers are numbers that are significantly lower or higher than most or all of the other numbers in a data set. Because of this, there can't be more outliers than other numbers, so it is impossible for the mode to be an outlier.

Example:

1, 1, 1, 2, 3, 4, 4, 86     Mode = 1

1, 1, 1, 2, 3, 4, 4           Mode = 1

This means the mode is not affected by adding and removing outliers.

Mode is a possible answer, but let's take a look at range before coming to a conclusion.

Range is the spread of values in a data set. In other words, the difference between the highest and lowest value. A high range can signal a possible outlier is present.

Example:

1, 2, 4, 6, 10

10 - 1 = highest value - lowest value = range = 9

1, 2, 4, 6

6 - 1 = highest value - lowest value = range = 5

The range is certainly affected by outliers, so it is not the answer.

Out of mean, median, mode, and range, the answer to this question is mode.

If an outlier is removed, mode will not change.

Hope this helps!

Step-by-step explanation:


Related Questions

Find the unknown side length for ABC.
A.) 483.86
B.) 171.36
C.) 13.09

Answers

It’s b I just had this
The correct answer is b

HELPPPPPPPPPPP URGENT MATTER

Answers

it would be 15.7! equation to get the circumference is C=2 pi r. 2 times pi multiplied by the radius! hope this helps

Which list could represent the four angle measures of a quadrilateral if one angle measures 125°?

A. 10°, 10°, 125°, 125°
B. 15°, 15°, 25°, 125°
C. 15°, 15°, 115, 125°
D. 55°, 55°, 125°, 125°

Answers

Answer: D

Step-by-step explanation:

The sum of the interior angles of a quadrilateral is 360°.

55+55+125+125=360

Answer:

D. 55, 55, 125, 125

Step-by-step explanation:

To solve this problem we first need to know what the total degrees of a 4 angle quadrilateral is. The answer to this is 360°. Knowing this, we need to figure out which combination of numbers adds up to 360. To do this, I go through the list and check all of the options.

A.) 10+10+125+125=270

B.) 15+15+25+125=180

C.) 15+15+115+125=270

D.) 55+55+125+125=360

What is the shortest Hamilton path in the vertex-edge graph below?

Answers

Answer:

A to C to D to B

Step-by-step explanation:

Pretend you are inside and you have 4 options and since almost everyone is lazy,they will try to go to the shortest way possible or else their late or something.

Question 5
show the work please

Answers

Answer:

D) 27

Step-by-step explanation:

It's a rectangle so the opposite sides are congruent to each other.

Long Side:

6x + 6 = 42

subtract 6 from both sides:

6x = 36

divide both sides by 6:

x = 6

Short Side:

5y + 5 = 30

subtract 5 from both sides:

5y = 25

divide both sides by 5:

y = 5

The Equation:

2x + 3y

substitute in the values:

2(6) + 3(5)

do the multiplication:

12 + 15

add the values together:

27

D hope this helps!!!!!!!!

A fisherman is sitting 2 feet above the surface of a lake on a boat. The hook on his fishing pole is floating 6 feet below the lake's surface.



Part A: Which location has the greater absolute value, the fisherman's or his hook's? Explain your reasoning.

Part B: Are the locations of the fisherman and his hook opposites? Explain your reasoning.

Answers

part a: his hook
part b: they are opposites because he is above the surface level so it is +2 and his hook is below surface level which is -6

The following table shows how many pies 444 baking teams made at a pie-baking competition. For example, Team Crusty baked 282828 pies in 888 hours.

Answers

Answer:

The answer would be B

Step-by-step explanation:

Divide each number of pies made by each team by 4.5

Which one has a quotient of the same number of hours they were baking pies is the correct answer.

The answer would be B. I divided the pies per hour

Or : pies / hour = ??

For the “pie piece” team, 27 / 6 = 4.5

Which sets contain one or more outliers? Check all that apply.
187, 298, 239, 1, 984, 202, 191
5, 3, 8, 6, 3, 6, 1, 2, 0
15, 19, 21, 16, 25, 13, 17
56, 1, 5, 72, 67, 59, 74, 60
88, 7, 32, 31, 34, 39, 34, 35, 33
pls hurry im timed

Answers

Set 1, 4 and 5 all have one or more outliers because of how far apart the numbers are

The basket of golf balls at a miniature golf course contains 15 golf balls, of which 6 are green. What is the probability that a randomly selected golf ball will be green? Write your answer as a fraction.

Answers

Answer:

0.4

Step-by-step explanation:

6/15 simplified equals 0.4

answer : 0.4
because 15/4 is simplified to 0.4 I simplified with photomath .
hope this helps

Please help this is due soon!! NO LINKS!!

The volume of a cone with a height of 10 meters is 20pi cubic meters. What is the diameter of the cone? Round your answer to the nearest tenth.​

Answers

Answer:

2.4

Step-by-step explanation:

Answer is 2.4
Hope this helps

what property is x+13=13+x

Answers

that is the commutative property

Trish is sorting bolts for her home repair business. She has an 8-pound bag of bolts. If each kitchen her team repairs requires 1/5 pound of bolts, how many kitchen can she repair? Joshua solves the problem by finding 8÷1/5=40. Melanie solves the problem by finding 8×5=40

. Use the drop-down menus to explain why Joshua and Melanie are both correct.

a whole number by a unit fraction is the same as multiplying a whole number by the of the unit fraction.

Answers

Answer:

A whole number divided by a unit fraction is the same as multiplying a whole number by the inverse of the unit fraction.

Step-by-step explanation:

Given

[tex]8 \div \frac{1}{5} = 40[/tex]

[tex]8 * 5 = 40[/tex]

Required

Explain why both expressions are correct

No dropdown to select from. So, I will provide a general solution.

When a number is divided by a fraction.

Take for instance:

[tex]8 \div \frac{1}{5}[/tex]

The above can be expressed as the product of the number and the inverse of the fraction.

The inverse of 1/5 is 5.

So, we have:

[tex]8 \div \frac{1}{5} = 8 * 5[/tex]

The result of the above expression is:

[tex]8 \div \frac{1}{5} = 8 * 5 = 40[/tex]

A restaurant has 75% of its tables being used. Which ratio compares the used tables with all the tables in the restaurant?
A. 50:100
B. 25:75
C. 25:100
D: 15:20

Answers

It’s d I did it myself and got it right
D is the answer for the ratio

Find the area of the circle when C = 4π. Give your answer in terms of π.

Answers

Answer:

12.56

Step-by-step explanation:

So, the circumference will be 4(3.14), which is 12.56. So, now you can solve for area. By the way, the formula is: C = pi(d) (Just saying)

Anyways, A = pi(r)2. So, with the radius being half of the diameter, you will cut 4 in half. You are now ready to solve.

A = 3.14 (2) (2), which is 12.56 .

Hope this helps! :)

Which rule has a scale factor of 3 and shifts the shape 4 units left and 2 units down?

Answers

Answer: option b

Step-by-step explanation:

HELP ASAP ASAP!! NO LINKS PLEASEEEE OR U WILL BE REPORTED, I NEED AN ANSWER, WILL GIVE BRAINIEST!!

Answers

Answer:

See explanation

Step-by-step explanation:

1) down 8, right 5

2) up 9, left 2

3) and 4)

The area of the triangle below is 33.62 square feet. What is the length of the base?

Answers

Answer:

8.2 ft

Step-by-step explanation:

33.62 * 2 / 8.2 = 8.2 ft

Answer: 4.1

Step-by-step explanation:

33.62 ÷ 8.2 = 4.1

HHHHHHHHHHHHHHHHEEEEEEEEEEEEEEEEEEELLLLLLLLLLLLLLP
number 2 is what is the area f the triangle

Answers

Answer:

42 for the rectangle

15 for the triange

Step-by-step explanation:

3×14=42

5×6÷2=15

42 , 15 - well good luck


I need help and this is due tonight (lots of questions incoming)

Answers

Answer: it is a

Step-by-step explanation:

Please help, I will be giving brainliest.

Answers

Answer:

3/4

Step-by-step explanation:

When you read the problem it says 3 colors and there are 4 things that you can get out of it

It’s 12, all u have to do is multiply 3 x 4

Question 2
Show the work please

Answers

Answer:

C

Step-by-step explanation:

Did any get the answer for puzzle 3 in Pythagorean Theorem Digital Escape!

Answers

The formula relations given by Pythagorean theorem is used to

determine the lengths and area of the given squares and triangles.

Responses:

1. Area of a is H: 25

2. Length of b is I: 5

3. Length of C is A: 7.94

4. Area of d is B: 35.73

Where can the Pythagorean theorem be used to find the lengths and areas of a figure?

1. Given;

The area of the side squares are; 9 m² and 16 m²

According to Pythagorean theorem, we have;

Area of square a = 9 m² + 16 m² = 25 m²

Area of a is H: 25

2. = Area of side square a

Therefore;

b = √(25 m²) = 5 m

Length of b is I: 5

3. Given;

Area of the squares adjacent to the hypotenuse side and a leg are;

144 m² and 81 m² respectively

According to Pythagorean theorem, we have;

C² = 144 m² - 81 m² = 63 m²

C = √(63 m²) = √(9 × 7 m²) =  3·√7 m ≈ 7.94 m

Length of C is A: 7.94

4. Area of triangle d = [tex]\frac{1}{2}[/tex] × √(81 m²) × 7.94 m ≈ 35.73 m

Area of d is B: 35.73

Learn more about Pythagorean theorem here:

https://brainly.com/question/390911

Answer:

afhs

Step-by-step explanation:

i said so

Describe a set of transformations that you can use to show that angle one is congruent to angle eight. Please help me with this. It isn’t the to options rotate 90 degrees or reflect in the x axis. So can someone tell me if it is the rotate 180 degrees or translate done then translate right one?

Answers

Rotate 180 and translate down

PLEASE HELP ASAP!!! I WILL AWARD BRAINLIEST!!

Answers

Answer:

a no.

Step-by-step explanation:

because using indices law it should be plus not minus and because of that all there futher process is wrong

Help me please thank you

Answers

Step-by-step explanation:

7-5=2(potato minus carrot side height)

5 ( carrot side length)

2×5=10

HELP MEEE BRAINLIEST

Answers

Answer:

Median = 87

Mean = 82

Step-by-step explanation:

Answer is

Median:87

Mean:82

Mariel wrote these checks from her checking account: $10, $10, $31, and $10. Which number shows the change of balance in her checking account?
A. -$61
B. -$1
C. $1
D. $61

Answers

$61 o hope it helps

WILL MARK BRAINLEST
What is factoring? Why is it useful to try to factor out the GCF first when factoring?

Explain the relationship between factoring and multiplying polynomials. Give an example to help explain.

Factor x^2-25, 3x^2-12x-15, and x^3+2x^2+3x+6 .

What are the key features needed to graph a polynomial function? Explain how to find these key features to sketch a rough graph of a polynomial function.

Why would someone want to factor a polynomial? Provide real world examples of different questions we can answer or facts we can determine from factoring a polynomial.

Answers

Answer:

What is factoring?

Factoring is finding what to multiply to find an expression. It is like splitting expression into a multiplication of simplified expression.

Why is it useful to try to factor out the GCF first when factoring?

Greatest common factor or GCF of two numbers is the largest number that divides evenly in both numbers, GCF works the same in polynomials, which divide the expression evenly .

Explain the relationship between factoring and multiplying polynomials. Give an example to help explain

Factoring take away the multiplication, to factorize a polynomial it means take apart what  is multiplied. the best example is a²+b²+2ab ( multiplied)

factorize :(a+b)(a+b)   take apart what is multiplied

Factor x^2-25, 3x^2-12x-15, and x^3+2x^2+3x+6

x²-25  =(x+5)(x-5)

3x²-12x-15 = 3(x²-4x-5)  GCF=3

3(x-5)(x+1)

x³+2x²+3x+6  (x+2) common factor

(x+2)(x²+3)

What are the key features needed to graph a polynomial function?

the key features are the vertex, axis of symmetry, x and y intercept

Explain how to find these key features to sketch a rough graph of a polynomial function

parabola : y=ax²+bx+c

ex: 3x²-12x-15

find vertex (h,k)

h=-b/2a =-(-12)/2(3)=2

k=f(h)=f(2)=3(2)²-12(2)-15

k=12-24-15=-27

vertex=(2,-27)

x intercept is when the graph =0 (y=0)

y intercept when x=0 then y= the constant c and where the graph cross the y axis

axis of symmetry is the x of the vertex: is a line about which a parabola is symmetrical and vertical when the axis of symmetric is vertical.

Why would someone want to factor a polynomial? Provide real world examples of different questions we can answer or facts we can determine from factoring a polynomial.

factor a polynomial helps us understand more about equations,factoring helps us rewrite the polynomial into simpler expression.

example from real life:

A homeowner has a back yard and wants to turn it to garden beds so he can plant his vegetables, he wants to fill it with dirt he needs 240 cubic feet to fill it  the length is 4 feet than the width , and the height is 4

solve:

length=W+4

height=1/3 w

V=length* width* height

240=(w+4)(w)(4)

351= 4w²+16w

4w²+16w-240=0

take 4 as common factor

4(w²+4w-60)

now factorize:

4(w-6)(w+10)=0

Step-by-step explanation:

PLEASE BRAINLIEST

The Martinez family picked 3 and one-half pounds of apples. Ana picked one-fourth of those apples. How many pounds of apples did Ana pick?
options
A. 1/4
B. 3/4
C. 7/8
D. 1 1/4
E. 3 1/8

Answers

Answer:

7/8

Step-by-step explanation:

Ace bought 6 coke zeros for $7.50 out of the coke machines. Which equation represents this situation and how much did he pay for each coke?

Answers

Answer:

7.50/6 = 1.25

Step-by-step explanation:

6x = $7.50, 6($1.25) = $7.50
(x is the price of the coke zeros)
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