Given the set of test scores: 42, 72, 74, 78, 80, 80, 85, 88, 92. If the outlier is removed, which statement is true? Select all that apply.
Choose all that apply:

The standard deviation decreases.

The mean increases.

The median decreases.

The range increases.

Answers

Answer 1

Answer:

Standard deviation decreases and mean increases

Step-by-step explanation:

The test scores are:

42, 72, 74, 78, 80, 80, 85, 88, 92

Mean = (42 + 72 + 74 + 78 + 80 + 80 + 85 + 88 + 92)/9 = 76.77

Median is 5th term which is 80

Range is highest score - lowest score = 92 - 42 = 50

Standard deviation from an online calculator gives 13.69

Now,we want to know what happens to those values when the outlier is removed. The outlier in this case is 42 because it is not consistent with other scores which range from 72 - 92.

Thus,the new set of scores are;

72, 74, 78, 80, 80, 85, 88, 92

New Mean = (72 + 74 + 78 + 80 + 80 + 85 + 88 + 92)/8 = 81.125

New Median will be the average of the 4th and 5th term which is (80 + 80)/2 = 80

New Range = 92 - 72 = 20

New Standard deviation from an online calculator gives 6.39

From the comparison above when the outlier is removed, we can say that;

- Mean increases

- remains the same

- Range decreases

- standard deviation decreases


Related Questions

i dont under stand this

Answers

Answer:

13

Step-by-step explanation:

a^2 + b^2 = c^2

Plug 5 and 12 for a and b respectively. then solve

Also its a special  5 12 13 triangle.

7. How many servings could you make if you had 3/4 cup of diced onion?
A. 4 servings
B. 15 servings
C. 9 servings
D. 12 servings

Answers

Answer:

D. 12 servings

Step-by-step explanation:

Normally, when working with fractions, I would like to make the denominators of both fractions the same.

[tex]\frac{1}{2}[/tex] cup diced onion --- 8 servings

[tex]\frac{2}{4}[/tex] cup diced onion --- 8 servings

[tex]\frac{3}{4}[/tex] cup diced onion --- [tex]\frac{3}{2}[/tex] × 8 servings = 12 servings

Giving brainless! I needa past math

Answers

Answer:

A

Step-by-step explanation:

Because firstly they loose (minus) and then they have to divide this loss by 9.

Answer:

A or C

Step-by-step explanation:

If they’re both wrong then my bad

round 0.927 to the nearest hundreth

Answers

The answer should be 0.93 :))))))))) sorry if it’s not :(

If a person walks 14 mile in 10 minutes, how far will that person walk in one hour?

Answers

Answer:

They would walk 84 miles in one hour.

Step-by-step explanation:

14 x 6 (One hour) = 84 miles

Hope this helps ^^

Answer:

84

Step-by-step explanation:

because 1 hour equals 60 mins so 6 x 14

Tamara is creating a model of a rectangle. She has ab26 inches of yellow ribbon to use for the border of the rectangle. She wants the length,/, to be 3 inches greater than the width,w. Which system of equations could tamara use to find the dimnesions of a rectangle that uses all of the ribbon

Answers

Answer:

L=8inW=5in

Step-by-step explanation:

Step one:

given data

we are told that the border/perimeter of the yellow ribbon is 26in

let the  width be x

W=x

and the lenght

L=x+3

Step two:

Required

The expression for the perimeter to find the dimensions of the yellow ribbon given the above condition.

we know that the perimeter of a rectangle is given as

P=2L+2W

26=2(x+3)+2x---------This is the expression required

26=2x+6+2x

26=4x+6

26-6=4x

20=4x

divide both sides by 4

x=20/4

x=5in

The width is 5in

The length is

L=x+3

L=5+3

L=8in

I beg you to help me .

Answers

Answer:

16+3=y

y=19

Step-by-step explanation:

Steph needs to help her parents put a fence around their pool. They want the fence to be square and want each side to measure 6 meters. They already have 10 meters of fencing. How many more meters of fencing should they buy? Choose 1 answer:

Answers

Answer:

14 meters

Step-by-step explanation:

Each side of the square fence = 6 meters

Perimeter of the square fence = 4 × length

= 4 × 6

= 24 meters

They already have 10 meters of fencing

How many more meters of fencing should they buy?

= Total meters - available meters

= 24 meters - 10 meters

= 14 meters

what is the sales tax of 9.25% on a tv costing 234.25

Answers

Answer:

[tex]21.668125[/tex] [tex]or[/tex] [tex]21[/tex] [tex]Dollars[/tex] [tex]and[/tex] [tex]66[/tex] [tex]Cents[/tex]

Step-by-step explanation:

[tex]--------------------------------------------[/tex]

[tex]9.25\%[/tex] [tex]of[/tex] [tex]234.25[/tex] = [tex]21.668125[/tex]

[tex]--------------------------------------------[/tex]

Hope this helps! <3

[tex]--------------------------------------------[/tex]

equivalent answers for 64 to the power of 2/3

Answers

Answer:

16

Step-by-step explanation:

Dealing with a fraction exponent on hand can be converted by using the fractional exponents rule where the fraction exponent is converted to something like this:

[tex]64^\frac{2}{3} = \sqrt[3]{64^{2}}\\[/tex]

As you can see, the denominator of the fractional exponent is now the index of the radical. Here is a guide to know what goes where.

[tex]64^\frac{x}{y} = \sqrt[y]{64^{x}}[/tex]

Both the original problem (64^2/3) and the converted formula can be put into a calculator.

Simplify (if you want to)

[tex]\sqrt[3]{64^{2}}\\\sqrt[3]{4096}\\16[/tex]

64 to the power of 2/3 is 16.

Which lines are perpendicular?
A) A and B
B) A and C
C) B and C
D) A and D

Answers

Answer:

B) A and C

Step-by-step explanation:

A and C are negative reciprocals of each other.

B) A and C
Because I had the same question and got it right

what are ratios that are equivalent to 16:12

Answers

Answer:

20:15, 24:18, 28:21, etc.

Step-by-step explanation:

Just divide 16 by 12 to get 4/3. Then whatever you multiply to 4, multiply to 3, and get more answers.

Answer:

4:3, 8:6, 12:9, 20:15, 24:18, 28:21, 32:24, 36:27, 40:30 and so on.

Step-by-step explanation:

The denominators are all multiples of 3 and the numerators are multiples of 4.

Mrs. King has a stack of papers to grade that contains 12 boy's papers and 8 girl's papers. What is the probability that the first paper Mrs. King's grades will be a boy's paper? *

Answers

Ok...let’s get started!
12 boys and 8 girls
That means that there are 20 kids!
12/20 is equal to 60%
There is a 60% chance that the first paper will be a boys
Please tell me if this is incorrect

Determine if the point (5, 7) is on the line of
Equation 5x + 6y = 67

Answers

Answer: The point (5,7) is on the line 5x+6y = 67

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

Explanation:

(5,7) means x = 5 and y = 7 pair up

Plug in those values to get...

5x + 6y = 67

5*5 + 6*7 = 67

25 + 42 = 67

67 = 67

We get the same number on both sides after fully simplifying. This means the equation is true. A true equation in the last step means the first equation is true when (x,y) = (5,7).

Therefore, the point (5,7) is a solution and it is on the line 5x+6y = 67.

50,6291583.9741
What place value does 4 hold in the number above?

Answers

number 4 is in the thousanths place

Write in standard form the equation y - 9 = 1/3(x - 6).

Answers

Standard form: Ax + By = C
First make slope intercept
y = 1/3(x - 6) + 9
y = 1/3x - 2 + 9
y = 1/3x + 7
Now make standard form
Subtract 7 and y
1/3x - y = -7
Get rid of fraction
Multiply all by 3
Solution: x - 3y = -21

1) Choose the correct answer.
Which of the following statements is NOT a reasonable statement about geometry?

A.You need to take geometry so you will learn how to drive farther and faster.

B.You need to take geometry so you will learn concepts about shapes and relationships that you
can apply to many jobs or careers in the future.

C.You need to take geometry so you will earn the credit toward graduation.

D.You need to take geometry so you will learn to apply logical reasoning skills that you can use
in almost every aspect of life.

Answers

Answer:

A

Step-by-step explanation:

Geometry has nothing to do with driving.

In case of an​ emergency, the office has a calling list so everyone is called in the least amount of time. Each of the first 4 people on the list calls another 4 people on the list.​ Then, each of the people in the second group calls another 4 people on the​ list, and so on. The 4th group of people will make 256 calls. Is this statement​ accurate? Explain.
Select the correct choice and fill in the answer boxes to complete your choice.
A.
Yes. The 1st group is nothing​, the 2nd group is nothing​, and so on. The 4th group is which does equal 256.
B.
No. The 1st group is nothing​, the 2nd group is nothing​, and so on. The 4th group is which does not equal 256.

Answers

Answer:

A.Yes.1st group is nothing ,the 2nd group is nothing,and so on .The 4th group is which does not equal 256 is the correct answer

Can someone help me with this

Answers

Answer:

x=125°

Step-by-step explanation:

180-(25+30)= 125°

hope it helps!

What is the domain of a cube root function?
A. all integers
B. all positive numbers
C. all real numbers
D. all negative numbers​

Answers

Answer:

C. All real numbers

Step-by-step explanation:

Use the properties of equality to solve the equation 3x+2-x=11x+9. State which property justifies your first step and why you chose it. Check your solution

Answers

3x + 2 - x = 11x + 9
3x - x + 2 = 11x + 9
2x + 2 = 11x + 9

X= - 7 over 9

The first step we'll make is subtraction property of equality and we choose this property to separate the variables and contsnts.

What are the properties of equality?

Facts regarding any two or more quantities connected by the equal sign are known as properties of equality.

There are four types of properties of equality.

Addition property, when two equal quantities are increased by a common value, the equality is preserved.

Transitive property of equality, entities that are equivalent to one another are also equivalent to one another.

Subtraction property, equality is maintained when a common term is subtracted from two equal terms.

Multiplying by a common term do not alter the equality, according to the multiplication property of equality.

Given, An equation 3x + 2 - x = 11x + 9.

The first step would be subraction property of equality.

We'll subtract 2 from each side of the equation.

3x + 2 - x - 2 = 11x + 9 - 2.

3x - x = 11x + 7.

We choose subraction property of equality to separate the vriables and the constants.

learn more about subtraction property of equality here :

https://brainly.com/question/29182336

#SPJ2

Can someone please help me with solving this maths question?

Answers

Answer:

CD = 7

Step-by-step explanation:

Given that the triangles are congruent, then corresponding sides are congruent, that is

CD = AB , substitute values

3y + 1 = 15 - 4y ( add 4y to both sides )

7y + 1 = 15 ( subtract 1 from both sides )

7y = 14 ( divide both sides by 7 )

y = 2

Thus

CD = 3y + 1 = 3(2) + 1 = 6 + 1 = 7

A light bulb consumes 1800 watt-hours per day. How long does it take to consume 6750 watt-hours?

Answers

Answer:

I LOST ALL MY POINTS NOOOOOO

Can anybody help(>v<)

Answers

Answer:

-7/10, -0.2, 1/2, 0.7

Step-by-step explanation:

Plzz have brainiest

helphelp need lots of help. do atleast one idc need hELP

Answers

Answer:

31. $70 / 34. 9.5, 9, or 10.

Step-by-step explanation:

31. ok here it looks like they split the cost between each other. if im correct, that means they split the thing in 5. which means Tai is paying for [tex]\frac{2}{5}[/tex] the of the camera. [tex]\frac{1}{5}[/tex] of the total cost of the camera is 35, so 35 x 2 = 70. Tai is paying $70.00

im not good with liters and things like that with ratio, sorry about that

34. ok so the long side of the rectangle is 18 cm, and this has a ratio of 5 : 3. so for every 5 cm the small side is 3 cm. so if something was 18 cm, it would make the shorter side 9.5 or if it only requires whole numbers then either 9 or 10.

i hope this helped, i did my best :)


Find the value of X*
X=
X х
8
12

Answers

Answer:

12

Step-by-step explanation:

This is a proportion question.

8/x = 12/(12 + 6)

8/x = 12/18             Reduce the right hand side

8/x = 2/3                Cross multiply

2x = 8*3                 Combine the right side

2x = 24                  Divide by 2

x = 24/2

x = 12  

X^2-x-12, please show your work so I can know how to do it. Thank you:))

Answers

you have to split the -x into 2 numbers that multiply to the same product as the two outside numbers so x^2+3x-4x-12
then split it and factor x(x+3)-4(x+3)
then you get (x-4)(x+3)

576 is 450% of what number ?

Answers

The answer is 128. Sorry I’m really bad at explaining

Karate Dojo charges $25 fee and $50 each month for Karate classes.

Write a linear equation that represents all of the charges from Karate Dojo.

Answers

25+50x=y

25 initial fee
50 is the charge per month
x is month
y is outcome

Question 1 of 5 ? Marissa is throwing a ball across a 36-yard field. She threw it 3 of the way across the field. How far did Marissa throw the ball? ​

Answers

Answer:

12

Step-by-step explanation3%36

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