The data to represent average test scores for a class of 16 students includes an outlier value of 78. If the mean, including the outlier of 78, equals 84, which statement is always true about the new data when the outlier is removed?

The mean would increase.
The mean would decrease.
The median would increase.
The median would decrease.

Answers

Answer 1

Answer:

Given that The data to represent average test scores for a class of 16 students includes an outlier value of 78.

We can find sum of all 16 test scores = 84(16) = 1344

Outlier found = 78

If outlier is removed new sum = 1344-78 = 1266

Number of entries without outlier = 15

New average = 1266/12 =84.4

We find that average of new data increases.

Also whenever we remove outlier std deviation also would be reduced.

Step-by-step explanation:

Answer 2

Answer:

The mean would decrease.

Step-by-step explanation:

Without the outlier, the mean decreases. The median stays the same with or without the outlier.


Related Questions

3( 2p - 5) - 6p
need help please​

Answers

Answer:

-15

Step-by-step explanation:

We have the expression 3(2p - 5) - 6p and are asked to simplify.

Let's distribute, which is to multiply a number that is outside of a parenthesis bracket by the numbers inside the parenthesis.

3(2p - 5) - 6p

(3(2p) - 3(5)) - 6p

6p - 15 - 6p

Since you can only do changes to like terms and 15 and 6p are two different terms, we do 6p - 6p.

6p - 6p

0

Leaving us with -15.

Answer:

-15

Step-by-step explanation:

Simplify each term.

6p - 15 - 6p

Combine the opposite terms:

Subtract 6p from 6p

0 - 15

Subtract 0 from 15

-15

good luck, hope this helps :)

If O is an angle in standard position and its terminal side passes through the point
(8,5), find the exact value of cot 0 in simplest radical form.

Answers

Answer:

8/5

Step-by-step explanation:

Since the angle passes through 8,5. The horizontal side length is 8. The vertical length is 5 so now we must find the hypotenuse or radius side. Using the pythagorean theorem, that can be accomplished.

[tex] {x}^{2} + {y}^{2} = {r}^{2} [/tex]

[tex] {8}^{2} + {5}^{2} = {r}^{2} [/tex]

[tex]64 + 25 = {r}^{2} [/tex]

[tex] \sqrt{89} [/tex]

So know me gonna to find our trig functions. Cot or cotangent is x/y so we plug that as x=8, y=5.

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

so the answer. is 8/5

Transversal relations

Answers

Answer:

The answer is 75

Step-by-step explanation:

By way of parallelism

[tex]x + 15 = 90 \\ x = 75[/tex]

the answer is 75 for this problem

Given that the triangles shown below are simiar, what is the value of x?

Answers

Answer:

B

Step-by-step explanation:

This triangle has been scaled down from triangle one to triangle two. I didn't have a lot of study on this subject, but the answer that makes most sense to me would be B if you want to keep the triangles proportional

Find the length of side AB.
Give your answer to 1 decimal place.
CB = 12 cm
AB = 62°

PLEASE HELP!! ​

Answers

Answer:

AB ≈ 5.6 cm

Step-by-step explanation:

Using the cosine ratio in the right triangle

cos62° = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{AB}{BC}[/tex] = [tex]\frac{AB}{12}[/tex] ( multiply both sides by 12 )

12 × cos62° = AB , then

AB ≈ 5.6 cm ( to 1 dec. place )

Does INPUT depend on OUTPUT, or does OUTPUT depend on INPUT? GIVE AN EXAMPLE

Answers

Answer:

Step-by-step explanation:

An input is data that a computer receives. An output is data that a computer sends.for example the sound from a computer's speakers.

Answer:

Input depends on output.

Step-by-step explanation:

If you were to have a linear equation, say y=2x+1, x would be your input, and y is your output, similar to how an independent variable affects a dependent variable.

Going back to the equation, if you were to "put in" a value for x, this would affect the y value. If we were to plug in 2 for x, 2(2)+1=5. so y=5, and the coordinate would be (2,5). Here are a few input/output values for that equation

x    y

1    3

2    5

3    7

4     9

i need help asap i’ll be giving a brainliest to the person with the correct answer

Answers

Answer:

A newborn weighs 8 pounds at birth and gains 1.5 pounds each month for the next 3 months.

They all mostly seem right, but when a baby is first born the year is 0, so therefore it most likely seems like the first one! :)

^^ hope this helps :)

The area of a rectangle is 14 square units. It has side lengths a and b. Given the following values for a, find b.

a=4 1/5

Answers

a = 4⅕ = 21/5

ab = 14
(21/5)b = 14
b = 14(5/21) = 10/3 = 3⅓

I need help with this question

Answers

Answer:

34

Step-by-step explanation:

3rd square number is 9

5th square number is 25

9+25= 34

Makayla reads 18 pages of her book on Monday, 36 pages on Tuesday, 42 pages on Wednesday, and 88 pages of Thursday. Neil reads four times as many pages as Makayla’s total. How many pages did Neil read?

Answers

neil read 736 pages because in total makayla read 184 pages and since neils total was 4 times her amount it would be 184x4=736

So, I like animals and I thought, what's an animal? Why are they so adorable. So, why are animals so adorable? How are baby animals created?

Answers

Answer:

Question 1: Animal babies are born smaller and usually more furrier so of people love them.

Question 2: Love, Reproduction, Baby, Grow Up, Repeat  

Step-by-step explanation:


Flip this table, (╯°□°)╯︵ ┻━┻ flip that table, ┻━┻ ︵ ヽ(°□°ヽ) FLIP ALL THE TABLES,
┻━┻ ︵ \( °□° )/ ︵ ┻━┻ I didn’t do that ¯\_(ツ)_/¯

Answers

Flip this table, (╯°□°)╯︵ ┻━┻ flip that table, ┻━┻ ︵ ヽ(°□°ヽ) FLIP ALL THE TABLES,

┻━┻ ︵ \( °□° )/ ︵ ┻━┻ I didn’t do that ¯\_(ツ)_/¯

*Art Block be like*

‎(ノಥ益ಥ)ノ  ┻━┻

bare with me yall i know how to do it, im just tryna save time

Answers

Answer:

how do u even do this

Step-by-step explanation:

y = -2.5x+3.2 help I don’t know what to do

Answers

Answer:

the answer y= -8 cuz (-2.5×3.2) = -8 so the answer is -8

PLEASE HELPP!!! (look at pic)

Answers

Answer:

1/2

Step-by-step explanation:

Answer:

1/2 of the original pizza is left over

Step-by-step explanation:

When solving this question, divide 8 by 4. That will give you one fourth of the pizza. Multiply that by three, and you will get 6. Then divide 6 by 3, to get 2 as one third of 6.

Subtract 2 from 6 to get 4

Hans needs to read 3 novels each month. Let N be the number of novels Hans needs to read in M months. Write an equation relating N to M. Then use this equation to find the number of novels Hans needs to read in 11 months.

Answers

Answer:

NxM= 33 novels

Step-by-step explanation:

11x 3 is 33

BRAINLIEST TO WHOEVER CAN GET THIS RIGHT FIRST!

If 3x−y=12, what is the value of 8x / 2y ?

A) 212
B) 44
C) 82
D) The value cannot be determined from the information given.

Answers

Answer:

D

Step-by-step explanation:

answer is d

The product of two consecutive positive integers is 812. What is the value of the lesser integer? a. 7 b. 28 c. 58 d. 203

Answers

Answer:

The value of the lesser integer is [tex]28[/tex]

Step-by-step explanation:

Let two consecutive positive integers be [tex]x,x+1[/tex].

Product of two consecutive positive integers = [tex]x(x+1)=x^2+x[/tex]

Also, product of two consecutive positive integers is 812

So,

[tex]x^2+x=812\\x^2+x-812=0\\x^2+29x-28x-812=0\\x(x+29)-28(x+29)=0\\(x-28)(x+29)=0\\x=28,-29[/tex]

As [tex]x[/tex] is a positive integer,

[tex]x=-29[/tex] is rejected.

So,

[tex]x=28\\x+1=28+1=29[/tex]

Two positive integers are [tex]28,29[/tex]

The value of the lesser integer is [tex]28[/tex]

Answer:

B

Step-by-step explanation:

please please help me ​

Answers

Answer:

x = 6

Step-by-step explanation:

Segment representing 2x - 1 is the mid segment of the given triangle.

Therefore, by mid segment theorem:

2(2x - 3) = 18

2x - 3 = 18/2

2x - 3 = 9

2x = 9 + 3

2x = 12

x = 12/2

x = 6

Answer:

x = 6

Step-by-step explanation:

D is the mid-point of AB (given)

E is the mid-point of AC (given)

Therefore, by mid-point theorem,

DE = 1/2 BC

=> 2x - 3 = 1/2 × 18

=> 2x - 3 = 9

=> 2x = 12

=> x = 6

Hope it helps :)

Please mark my answer as the brainliest

List the sides of the triangle in order from shortest to longest.

Answers

Answer:

FH, GF, GH

hmmmmmmmmmmm

40 time 30 time 5 plus 3

Answers

Answer:

6003 hope i helped you have a nice day

Step-by-step explanation:

Answer:

6003

Step-by-step explanation:

40x30x5+3

so we can omit the zeroes in 40x30 and get 4x3, which is 12. Slap two zeroes on the end. 1200

1200x5 can be 12x5x100, so 60x100. 6000

6000+3=6003

If a city with a population of 500,000 doubles in size every 24 years, what will the population be 96 years from now?

Answers

2000000

CORRECT ME IF IM WRONG!!


I’m almost 100% sure it’s 2000000 6 0

find the measure of the angle
PLEASEEEE HELPPPP
I-ready

Answers

Answer: 62 degrees

Step-by-step explanation:

Answer:

62 degrees

Step-by-step explanation:

lloooooook belooooow please help giving brainliest

Answers

Answer:

Do you need the fourmulas?

Step-by-step explanation:

Is this true or false?

Answers

Answer:

True

Step-by-step explanation:

Use the rule of fractional exponent: The denominator becomes the root index and the numerator becomes the power.

Which expressions are equivalent to 18x - 6? Select all that apply.
16.4x - 6+ 1.6x
2(9x 3)
319x - 2)
12x - 6 - 6x
6(3x - 1)

Answers

If the first one is
2(9x-3)
Then it’s that one but if not then I would say
12x-6-6x

Please help me now ASAP PLEASE!

Answers

Answer:

What does "Brainlest" mean?

Step-by-step explanation:

The answer to this problem is 36

plus help me I will mark no explanation needed ❤️❤️❤️❤️

Answers

Answer:

whats the question

Step-by-step explanation:

Which of the following are like terms


y and -3y


2x2 and 3x3


k4 and 8k4


2x and x

Answers

y and -3y

k⁴ and 8k⁴

2x and x

These are like terms

This table shows how much each type of meat costs at a local deli.
Type of Meat Price per Pound
Ham $5.99
Turkey $4.99
roast beef $6.99
salami $2.99
bologna $3.99
A customer purchased 1/ 4 pound of ham, 1 1/2 pounds of turkey, 1 pound of roast beef, and
3/ 4 pound of bologna. Approximately what will the customer pay before taxes

Answers

5.99 • .25 = 1.50
4.99 • 1.5 = 7.48
6.99 • 1 = 6.99
3.99 • 0.75 = 2.99
The costumer will pay approximately $18.96 before taxes.

The price that the customer pay before taxes is $18.965.

What is Multiplication?

Multiplication of two numbers is defined as the addition of one of the number repeatedly until the times of the other number.

a × b means that a is added to itself b times or b is added to itself a times.

Given a table which shows the unit price of the meat at a local deli.

A customer purchased 1/ 4 pound of ham, 1 1/2 pounds of turkey, 1 pound of roast beef, and 3/ 4 pound of bologna.

In order to get the price of each meat, multiply unit price with the amount that the customer buy.

Total price = (1/4 × $5.99) + (3/2 × $4.99) + (1 × $6.99) + (3/4 × $3.99)

                  = $18.965

Hence the total price paid is $18.965.

Learn more about Multiplication here :

https://brainly.com/question/29174867

#SPJ3

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