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

Pleaseeee helppp answer correctly !!!!!!!!!!!!!!! Will mark Brianliest !!!!!!!!!!!!!!!!!!!

Answers

It’s 6 because the full length is 12 and it’s asking for the half of it

What is the distance of
CD

given that
C (5,-2) and D (-3,8)
Leave your answer as a square root.

Answers

Answer:

CD = [tex]\sqrt{164}[/tex]

Step-by-step explanation:

Calculate the distance d using the distance formula

d = [tex]\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2 }[/tex]

with (x₁, y₁ ) = C(5, - 2) and (x₂, y₂ ) = (D(- 3, 8)

d = [tex]\sqrt{(-3-5)^2+(8+2)^2}[/tex]

   = [tex]\sqrt{(-8)^2+10^2}[/tex]

    = [tex]\sqrt{64+100}[/tex]

    = [tex]\sqrt{164}[/tex]

     = 2[tex]\sqrt{41}[/tex] ← in simplest form

Given :

C (5, - 2)D (- 3, 8)

To Find :

CD = ?

Solution :

As, we have C (5, - 2) and D (- 3, 8), to find CD let's use distance formula :

[tex] \underline{\boxed{\tt{Distance \: between \: two \: points = \sqrt{(x_2 - x_1)^{2} + (y_2 - y_1)^{2}}}}}[/tex]

Here,

x₁ = 5x₂ = - 3y₁ = - 2y₂ = 8

So, by filling values :

[tex] \sf : \implies CD = \sqrt{(-3 - 5)^{2} + (8 - (-2))^{2}}[/tex]

[tex] \sf : \implies CD = \sqrt{(-8)^{2} + (8 +2))^{2}}[/tex]

[tex] \sf : \implies CD = \sqrt{64 + (10)^{2}}[/tex]

[tex] \sf : \implies CD = \sqrt{64 + 100}[/tex]

[tex] \sf : \implies CD = \sqrt{164}[/tex]

Hence, distance of CD is [tex] \bold{\sf \sqrt{164}.}[/tex]

Solve for the variable
X-11 = 8

Answers

This is pretty easy to do.

First, you have to get x alone by getting rid of the terms next to it. In this case, it’s -11.

To get rid of a term, do the opposite.


So x - 11 + 11 = 8 + 11
Remember to do it on both sides.

x = 19
Answer: 19
Why?
You have to get x alone so you have to add 11 to both sides
X-11+11= 8+11
The 11 cancel out on the left and 8+11 equals 19 so x=19

Which of these numbers lines is the X-axis?​

Answers

Answer:

the one going this way -------------------------- not up and down

Step-by-step explanation:

Answer:

Step-by-step explanation:

the one on the right

A soccer goal, as shows below, is composed of a pair of 8foot upright posts, positioned 48ft apart with a horizontal crossbar and netting boxing in the goal. A soccer ball is positioned directly in front of the right goal post. If the ground distance from the ball to the right goal is 14ft, what is the ground distance from the ball to the left goal post?

Answers

Answer:

The distance from the ball to the left post is 50 feet.

Step-by-step explanation:

Since a soccer goal is composed of a pair of 8 ft upright posts, positioned 48ft apart with a horizontal crossbar and netting boxing in the goal, and a soccer ball is positioned directly in front of the right goal post at a distance of 14ft, to To determine what is the ground distance from the ball to the left goal post, the Pythagorean theorem must be applied through the following calculation:

A ^ 2 = B ^ 2 + C ^ 2

A ^ 2 = 14 ^ 2 + 48 ^ 2

A ^ 2 = 196 + 2,304

A = √2500

A = 50

Thus, the distance from the ball to the left post is 50 feet.

For every $10,000 a company earns, it gives $500 to charity. How much does the company give to charity for every $1 earned?

Answers

Answer:

$0.05 i think

Step-by-step explanation:

Evaluate 2x − 2 for x = 0, x = 1, and x = 2.

Answers

Answer:

-2, 0, and 2

Step-by-step explanation:

For x=0:

2(0) -2

0-2

-2

For x=1:

2(1)-2

2-2

0

For x=2:

2(2)-2

4-2

2

Answer:

its -1, 0, 2

Step-by-step explanation:

SOMEBODY PLEASE TELL ME HHOW TO MAKE FRACTIONS INTO PERCENTS WORTH 20 POINTS

Answers

Step-by-step explanation:

Easy steps!

Turn the fraction into a decimal first (or in other words, divide) (For Example: 1/2 = 0.5)Move the decimal point to the right TWO times, and voila (For example: 0.5 = 50%)

4y + 4 = 2y - 10
can somebody break this down to solve it ? please

Answers

Answer:

y=-7

Step-by-step explanation:

first, you want variables on one side, numbers on the other side of the equation.

4y+4=2y-10

*plus ten on both side to get rid of -10*

4y+14=2y

*minus 4y on each side to get rid of 4y*

14=-2y

*divide by -2 on each side to get the value of just one y itself*

y=-7

Betsy bought 10 pencils for $0.15 each, 8 notebooks for $1.50 each, and a book for $45.00.

Answers

$58.50 is the answer

There is a cube that is 1 unit long, 1 unit wide,
and 1 unit deep. What is the volume of this
cube?
a. 4 cubic units
b. 3 cubic units
c. 2 cubic units
d. 1 cubic unit

Answers

D because of lx w x h and you would get one cubic unit

Sarah has built a scale model of a bridge. The real bridge is 56 ft across and 21 ft wide. Sarah's model is 8 in. across and
2.5 in. wide. Is Sarah's model a true model of the bridge? Explain.

Answers

Answer:

Well, there are 12 inches ina foot so let's multiply 56 by 12. Now, divide 672 by 8: 672/8 = 84 So, we have 84 which means that if we multiply 84 by 2.5 it should equal however many inches there are in 21, if it is to be a true scale model. It is not equal, so no, it is not a true scale model.

Step-by-step explanation:

HOPE THIS HELPS!!!

BRAINLIEST PLZ???

Answer:

It is not equal, so no, it is not a true scale model.

Step-by-step explanation:

Well, we need to find the ratio of it and see if both measurements of the 'scale' model are the same. But before we do, take in mind we can't divide 56/8 because 56 needs to be converted into inches.

56 • 12 = 672

divide 672 by 8:

672/8 = 84

So, we have 84 which means that if we multiply 84 by 2.5 it should equal however many inches there are in 21, if it is to be a true scale model

21 • 12 = 252

2.5 • 84 = 210

It is not equal, so no, it is not a true scale model.

HELP PLEASE I'll mark you brainliest
What problem did Americans face at home as the War of 1812 developed on the seas?
a shortage of American goods
strained relations with American Indians
challenges of settling untamed lands
a divided government

Answers

The answer is the first one . A

The correct answer is A

Graph the line with slope -5 and y-intercept 7.

Answers

Answer:

start your grap at (0,7) and go up 5 to the right 1 and down 5 to the left 1

You and three friends go to the town carnival. You have a coupon for $20 off that will save your group money! If the total bill to get into the carnival was $100, how much does one regular price ticket cost?

Answers

Answer:

30 that singular tickets for each friend and if your asking for total it would be 120. :)

Step-by-step explanation:

They paid 100 but they had a 20$ off coupon, this means the orignial total would be $120 so 120 divided by 4 (there's four people) = $30 each :)

hope this helped

A blank is a fraction with a denominator of one

Answers

Answer:

Whole Number

Step-by-step explanation:

Answer:

A whole is a fraction with the denominator of one.

Step-by-step explanation:

Help?... i really really need help...

Answers

Answer:

Bro its easssssssssssssssssssssssssssssssy

Step-by-step explanation:

you must do the rule of threee.

1) 20
2) 24
3) 9
4) 32
5) 35
6) 18
7) 3.6

find the volume of the earth if the diameter is 7917.5​

Answers

Answer:

Step-by-step explanation:

diameter=7917.5

r=3958.75

the earth is sphere

V=4/3x3.14xr^3

V=2.6*10^11

simplify 3a x 4, thank youuuu

Answers

Answer:

12a

3 x 4 =12a

Liz and Rick are squeezing lemons for a lemonade stand. Liz squeezed 18 lemons in 6 minutes. Rick squeezed 24 lemons in 12 minutes. Who squeezed lemons at a faster pace?

A)liz
B)Rick

this is Compare rates: word problems please show and explain the work show WORK

Answers

Liz squeezed lemons faster. Liz squeezed 18 lemons in 6 minutes. To find out how many she squeezed in a minute, you would do 18 / 6, which gives you three. Rick squeezed 24 lemons in 12 minutes. To find out how many lemons he squeezed in a minute, you would do 24/12, which gives you 2. So, Liz squeezed 3 lemons per minute while Rick squeezed 2 lemons per minute.

fill in the missing number 21-(-17)=21+...

Answers

Answer:

the answer of 21-(-17)=21+17=38

A triangle has sides that measure 2 units, 5 units, and 5.39 units. What is the area of a circle with a circumference that equals the perimeter of the triangle? Use 3.14 for π, and round your answer to the nearest whole number.


39 units2

25 units2

49 units2

12 units2

Answers

Answer:

12units²

Step-by-step explanation:

Given a triangle that has sides that measure 2 units, 5 units, and 5.39 units,

Perimeter of the triangle = 2 + 5 + 5.39

Perimeter of the triangle = 12.39units

since the circumference is equal to the perimeter of the triangle, hence;

C = 12.39units

C = 2πr

r is the radius of the circle

12.39 = 2(3.14)r

12.39 = 6.28r

r = 12.39/6.28

r = 1.973 units

Get the area

Area = πr²

Area of the circle = 3.14(1.973 )²

Area of the circle = 3.14(3.892)

Area of the circle = 12.22units²

Area of the circle ≈ 12units²

Answer:

D. 12 units2

Elizabeth swims 50 feet in ten seconds. Jesse swims 110 feet in 20 seconds.
Reagan swims 160 feet in half a minute. Who swims fastest?

Answers

Answer: Jesse

Step-by-step explanation:

Elizabeth - 50f/10s

Jesse - 55f/10s

Reagan - 53.3333333/10s

Jesse is the fastest

Answer:

I think that Jessie swam the fastest

Step-by-step explanation:

Jessie swam the fastest bc Reagan only swims 160 feet in half a minute and 110 is less than 160 and 20 + 20 =40 so if Jessies swimming speed and time was multiplied by 2, she would still swim faster!

(sorry Im not the best at math but I hope you can understand my logic lol)

FIRST CORRECT ANSWER TODAY GETS BRAINLIEST!!!

If $a+b = 8$, $b+c = -3$, and $a+c = -5$, what is the value of the product $abc$?

Answers

Answer:

a = 3

b = 5

c = -8

abc = -120

Step-by-step explanation:

Answer:

-120

Step-by-step explanation:

sorry just looked at the answer below *HAXZ*:)

HAIRCUT Josiah went to the local
barber to get his hair cut. It cost
$18 for the haircut. Josiah tipped
the barber 15%. What was the total
cost of the haircut including the
tip?

Answers

The correct amount would be $20.70

good at math? PLEASE HELPPPP!!

Answers

Answer:

b

Step-by-step explanation:

mark invested 125 he earned a simple interest of 3% per year on the initial investment if no money was added or removed from the investment what was the amount of interest mark received at the end of two years

Answers

Answer:

$7.50

Step-by-step explanation:

formula for simple interest:

I = prt

I = ($125)(0.03)(2)

I = $7.50

Answer:

You time 125 by 1.03 twice subtract 125 from that awnser to get the amount of money from interest 7.6125 is the awnser

Step-by-step explanation:

can you guys help me?

Answers

Pretty sure you have to use the Pythagorean Theorem.
a^2+b^2=c^2

So you would plug in your numbers that you already have (6 and 10) But notice that 10 is the hypotenuse (longest side) so
6^2+x=10^2

Then you would solve it and you should end up with 11.6619

-11r + 88 = 77
Solve for r

Answers

Answer:

r=1

Step-by-step explanation:

77 - 88 = -11

-11/-11 = 1


Write your own problem that would give the following answer:
(3a^3r^6)/
(2p^5)
Your problem must: contain 4 different variables (letters), require the use of at least 4 different exponent
properties to simplify, and use at least one number bigger than 12.
Once you come up with your problem write it below, then include the steps showing that it simplifies down
to the given expression. Once finished, write a paragraph explaining your thought process on how you
came up with your problem and which exponent properties are used to simplify it.

Answers

Answer:

i don't know but good luck with that

Step-by-step explanation:

sorry

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