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

Caritas 37 coins on nickels and dimes in his piggy bank the value of the coins is $3.10 write a system of equations define the variables

Answers

Answer:

x is number of nickels

y is number of dimes

0.05x  + 0.10y = 3.10

x + y = 37

4(1 – x) + 2 x = -3( x + 1)

Answers

Answer:

Step 1: Simplify both sides of the equation.

4(1−x)+2x=−3(x+1)

(4)(1)+(4)(−x)+2x=(−3)(x)+(−3)(1)(Distribute)

4+−4x+2x=−3x+−3

(−4x+2x)+(4)=−3x−3(Combine Like Terms)

−2x+4=−3x−3

−2x+4=−3x−3

Step 2: Add 3x to both sides.

−2x+4+3x=−3x−3+3x

x+4=−3

Step 3: Subtract 4 from both sides.

x+4−4=−3−4

x=−7

Step-by-step explanation:

Wanna chat add me as a friend OR COME TO Snap (ADAMBELAL839)

Anyways.....Im failing math :D

Answers

Answer:

SELENA IS THE BEST SINGER IN THE WORLD OTHER THAN NICKI MINAJA

Step-by-step explanation:

Answer:same ;p

Step-by-step explanation:

3n + 1 + 8n2 – 8n – 7 A) 16n? – 11n - 2 B) 16n2 – 5n - 2 C) 16n² – 5n - 6 D) 8n? – 5n - 6​

Answers

Answer:

The answer is D.

Step-by-step explanation:

There is only one 8n^2, and that means that it cannot combine with anything.

1. The measures of the angles in a triangle are x, 2x, and 2x - 20. What is the measure of the largest angle?

Answers

Answer:

Sum of the three angles of a triangle = 180 degrees

x+x+20+2 x=180

4 x=160

x=40

The angles are 40,(40+20).(2*40)

Answer 40,60,80

can anyone please help me I'm not good at math:)​

Answers

Answer:

100 per deposit

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

She starts at fifty dollars after no deposit.

After one deposit, She has $150 in her accout

150-50=100

Therefore, D is correct.

Good luck!!

Which equation represents the line that passes through the points (1, 1) and
(-4, 7)?
A. 5x + 6y = 11
B. 6x + 5y = 11
C. 6x - 5y = -11
D. 5x - y = -11


PLEASE HELP

ILL GIVE YOU BRAINIEST

Answers

Answer:

Option (B)

Step-by-step explanation:

Let the equation of the line is,

y = mx + b

Here m = slope of the line

b = y-intercept

Slope of the line passing through two points [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex] is,

m = [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]

Slope of the line which passes through the points (1, 1) and (-4, 7) will be,

m = [tex]\frac{7-1}{-4-1}[/tex]

   = [tex]-\frac{6}{5}[/tex]

By substituting the value of m in the equation,

y = [tex]-\frac{6}{5}x+b[/tex]

Since, this line passes through (1, 1),

1 = [tex]-\frac{6}{5}(1)+b[/tex]

b = [tex]1+\frac{6}{5}[/tex]

  = [tex]\frac{11}{5}[/tex]

Therefore, equation will be,

[tex]y=-\frac{6}{5}x+\frac{11}{5}[/tex]

5y = -6x + 11

6x + 5y = 11

Option B is the answer.

The solution of a system of equations with no solution describes what kind of lines?
options:
parallel
coincidental
perpendicular
intersecting

Answers

Answer:

parallel

Step-by-step explanation:

The answer is parallel because Since parallel lines never cross, then there can be no intersection; that is, for a system of equations that graphs as parallel lines

x^2y^4/z^3 / x^3z^2/y

Answers

Answer: y3/xz

Step by step is provided in the screenshot below

He national debt of a country is ​$298,800,000​,000,000 and the population is 53,980​,000. What is the debt per​ person? Write the answer without exponents.

Answers

Answer:

5535383.47 units

Step-by-step explanation:

Given that,

The national dept of a country = 298,800,000​,000,000

Population of the country = 53,980​,000

We need to find the debt per person. It can be calculated by dividing national dept of a country to its total population. Let it is d.

[tex]d=\dfrac{298800000000000}{53980000}\\\\=5535383.47\ \text{units}[/tex]

Hence, the debt per person is 5535383.47 units.

Rewrite 3 4/11 as an improper fraction
A.23/4
B.37/11
C.18/11
D,23/11

Answers

Answer:

B 37/11

Step-by-step explanation:

Brainliest please

Answer:

B. 37/11

Step-by-step explanation:

Multiply 3 by 11 and get 33

and add 4

37

improper fraction: 37/11

Giving brainless to the correct answer I need it asap!

Answers

Answer: I think it’s 10

Step-by-step explanation:

Answer:

I'll only put in the answer if you help me first. Spamming people doesn't feel good and is not helpful.

Step-by-step explanation:

What is the quotient when (x + 2) is divided into the polynomial 2x^2- 2x - 12?
A. X+ 3 with a remainder of -2
B. 2x-6 with no remainder
C. 2x-5 with no remainder
D. 2x-3 with a remainder of 5

Answers

i think it’s a because when i divided -12by 2 it’s -6

Explain how you know that segment DE is not parallel to segment BC. (Look at the picture)

Answers

Answer:

first the segments and second they aren´t lined up all the way parallel lines run side by side forever

Step-by-step explanation:

the number line at the right models an addition sentence select all the situations below could be modeled by the addition sentence.

Answers

The first and last one are correct

The function y = 0.45x + 8.8 expresses the linear relationship displayed by the scatter plot. Calculate the residual value for x = 12.
A) -0.4
B) -0.2
C) 0.2
D) 0.4

Answers

It would be letter A , -0.4

What is the value of s?
units

Answers

Answer:

[tex]s = 17[/tex]

hope this helps

Please give me the brainliest

Have a nice day

I need help with 13 and 14

Answers

Answer:

13) x = 62

14) x = 2.5

    y = 5.88888889

Step-by-step explanation:

x = 62 because x is the alternate interior angle of 62.

37x - 19 = 29x + 1 (subtract 29x on both sides)

8x - 19 = 1 (add 19 on both sides)

8x = 20 (divide by 8)

x = 2.5

Plug 2.5 into 29x + 1 to find 9y + 25

29(2.5) + 1 = 73.5

9y + 25 = 73.5 (subtract 25 on both sides)

9y = 48.5 (divide by 9 on both sides)

y = 5.388888889

It all checks out!

HOPE THIS HELPS!

how can you use table to help solve mixture problems

Answers

Answer:

The table contains one row for each type of “item” that's being mixed, and one column for every fact you know about that item. When you're done, the table will have some holes in it, corresponding to information you don't have.

Step-by-step explanation:

Pls help! For finalWhich equation can be solved to find x, the measure of to in the diagram
below?
53
A

Answers

I believe it is D because it is adding x to it

The solution to a system of equations is (5,-19) choose two equations that might make up the system
A. y=-3x-6
B. y=2x-23
C. y=-7x+16
D. y=x-17
E. y=-2x-9

Answers

Answer:

E

Step-by-step explanation:

By definition,

Linear equation

Linear or first degree equations are of the type ax + b = y, with a≠0, or any other equation in which when operating, transposing terms and simplifying they adopt that expression.

A solution to an equation is a number that can be entered into the variable to make a true number statement.

This case

In this case, you know that the solution to a system of equations is (5,-19). This is, x=5 and y=-19.

Replacing the value of x in linear expressions, I can calculate the value of y and I must get that y=-19.

A. y=-3×5 -6 → y= -15 -6 → y= -21

B. y=2×5 -23 → y= 10-23 → y= -13

C. y=-7×5+16 → y= -35 +16 → y= -19

D. y=5-17 → y= -12

E. y=-2×5-9 → y= -10 -9 → y= -19

Observing the solutions obtained, the equations that satisfy the solution and make uo the system are option C. and E.

Learn more about system of equations:

https://brainly.com/question/13997560

https://brainly.com/question/1836777

https://brainly.com/question/1995493

https://brainly.com/question/7487907?referrer=searchResults

i need help! what is the y-intercept of the line 2x + 3y = 6?

Answers

Answer:

The y-intercept of this line is 2.

Step-by-step explanation:

To find where this line reaches the y axis, you simply need to assign the value 0 to x, and solve for y:

[tex]2x + 3y = 6\\2(0) + 3y = 6\\3y = 6\\y = 6/3\\y = 2[/tex]

So the y intercept of that line is 2

Simplify
5.x - 3+27 +7

Answers

Answer:

5x+31

Step-by-step explanation:

Answer:

x2+3x+9

Step-by-step explanation:

X squared plus 3x plus 9, just for clarity. I believe this is the right answer, if not let me know in the comments.

Two friends shop for fresh fruit. Jackson buys a watermelon for ​$6.85 and 5 pounds of cherries. Tim buys a pineapple for ​$3.35 and 4 pounds of cherries. Use the variable p to represent the​ price, in​ dollars, per pound of cherries. Write and simplify an expression to represent how much more spent.

Answers

Answer:

3.5 + p

Step-by-step explanation:

Jackson:

Watermelon = $6.85

Cherries = 5p

Total spent = 6.85 + 5p

Tim:

Pineapple = $3.35

Cherries = 4p

Total = 3.35 + 4p

Where,

P = price per pound of Cherries

how much more spent?

Jackson's total spent - Tim's total spent

= 6.85 + 5p - (3.35 + 4p)

= 6.85 + 5p - 3.35 - 4p

= 3.5 + p

You have been working hard and saving money to buy your first used car - woo hoo! But you still need more money. (It's an expensive car!) You borrow $10,000 from the bank at a 9% rate for 5 years. How much interest will you pay on this loan? Write your answer as a number with no dollar sign.

Answers

Answer:

5,000

Step-by-step explanation:

no interest‍♀️

HELP!
Ella swims four times a week at her club’s pool. She swims the same number of laps on Monday, Wednesday, and Friday, and 15 laps on Saturday. She swims a total of 51 laps each week. Write an equation for the problem.

Answers

Answer: 3x + 15 = 51

x is the number of laps that she swims on Monday, Wednesday, and Friday. Since she swims the same amount, we can multiply x by three. Since Saturday  gives us an explicit answer, we can just add that to the equation.

Hope this helps :)

Any help is appreciated I will mark you as Brinley

Answers

Answer:

1,3

Step-by-step explanation:

Combine the like terms to create an equivalent expression 11m + 1 + 3m +4

Answers

Answer:

14m + 5

Step-by-step explanation:

Answer:

14m+5

Step-by-step explanation

combining like terms when you add

11m + 3m

and

1 + 4

After 4 hours, the number 2 is used as a factor ? Times

Answers

Answer:

2

Step-by-step explanation:

Answer: It’s 4

Step-by-step explanation:

solve please i’ll give brainliest

Answers

Answer:

3 is 60°, as well as 5 and 7 and the rest are 120°

Step-by-step explanation:

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