Find the mean, median, and mode of the data with and without the outlier. 85, 77, 211, 88, 91, 84, 85

Answers

Answer 1

Answer:

With Outlier:

Median: 85
Mean: 103
Mode: 85

Without Outlier:
Median: 85
Mean: 85
Mode: 85

Step-by-step explanation:

Basically order the numbers from least to greatest. Include the outlier to find the median, mean, and mode. The median is clear as day with the outlier, being the middlemost number: 77, 84, 85, 85, 88, 91, 211. To find the mean, just add all of the numbers together and then divide them by how many numbers there are. In this case, that'd be 7 and you get 103. The mode is simple as it's the number that repeats the most, which is basically 85 since it repeats twice in the set. After you find the median, mean, and mode with the outlier, now rewrite the numbers (still least to greatest) but excluding the outlier (211). It should now be 77, 84, 85, 85, 88, 91. For the median, our middlemost numbers are 85 and 85, so simply just add them together and then divide by two. This gets you 85 for the median. For the mean, simply just add the numbers in the new set excluding the outlier and divide by 6 since that's how many numbers we have in the set now. This gives you 85. The mode is the number most repeated, and that's still 85.


Related Questions

I need help on this ​

Answers

1. (x+2) (3x-1)

2. The zeros are at x = -2 and x = 1/3

Explanation:

3x² + 5x - 23x² + 6x - x - 23x(x+2) -1(x+2)(x+2) (3x-1)

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

zeros are when f(x) = 0

--------------

x + 2 = 0, 3x - 1 = 0x = -2, x = 1/3

Whats the surface area of this prism?​

Answers

Answer:

25

Step-by-step explanation:

brainly keeps deleting my answer But its 7 + 12 + 6 = 25

Solve for x:
4x – 7 = 8x + 33

Answers

Answer:

x = 10

Step-by-step explanation:

Hey there!

To solve this question we will use PEMDAS (order of operations)

4x−7=8x+33

Subtract 8x from both sides.

4x−7−8x=33

Combine 4x and −8x to get −4x.

−4x−7=33

Add 7 to both sides.

−4x=33+7

Add 33 and 7 to get 40.

−4x=40

Divide both sides by −4.

x= 40/-4

Divide 40 by −4 to get −10.

x=−10

Elshaun Works as a painter he charges $25 for each hour he works he also has to buy 100 $ worth of paint if the number of hours worked is represented by H which expression the total amount of money he would charge for his painting work

Answers

Answer:

Step-by-step explanation:this is a very hard question

Jamal plans to attend a 4-year private university. He will receive $8,200 in scholarships

and grants each year, and he will earn $1,900 each year through a work study program.

Jamal's family will contribute $21,000 each year. How much will Jamal need to

contribute?

Jamal's family will contribute $21,000 each year. How much will Jamal need to

contribute?

Type your answer.

3.

1 noint

Answers

It’s the 3rd one Hope this helps its and grant each year and he will earn 1900 each year through a work study program

Tyler wonders what proportion of students at his school would dye their hair blue if their parents would let them. He surveyed a random sample of 10 students at his school, and 2 of them said they would. Kiran didn’t think Tyler’s estimate was very accurate, so he surveyed a random sample of 100 students, and 17 of them said they would.

Based on Tyler's sample, estimate what proportion of the students would dye their hair blue.______

Based on Kiran's sample, estimate what proportion of the students would dye their hair blue.______

Whose estimate is more accurate? Type Tyler or Kiran.______

Answers

Using the proportion concept, it is found that:

According to Tyler's sample, the estimate is of 0.2 = 20%.According to Kyran's sample, the estimate is of 0.17 = 17%.Due to the higher sample size, Kyran's estimate is more accurate.

What is a proportion?

A proportion is a fraction of a total amount, and larger sample sizes lead to more accurate predictions.

In Tyler's sample, 2 out of 10 students would dye their hair blue, hence:

p = 2/10 = 0.2.

In Kiran's sample, 17 out of 100 would, hence:

p = 17/100 = 0.17.

Due to the higher sample size, as 100 > 20, Kyran's estimate is more accurate.

More can be learned about proportions at https://brainly.com/question/24372153

can someone help with this?

Answers

Explanation:

The proof can make use of the ASA congruence postulate.

__

Statement . . . . Reason

AB║CD, AD║BC . . . . definition of parallelogram

∠ACD ≅ ∠CAB, ∠ACB ≅ ∠CAD . . . . alternate interior angles theorem

ΔACD ≅ ΔCAB . . . . ASA congruence postulate

An object falls from a window. the distance the object has traveled, d, varies jointly with the acceleration due to gravity and the square of the time elapsed. the object has fallen 5.929 meters in 1.1 seconds, and the acceleration due to gravity is 9.8 meters per second squared. assuming the object continues to fall and the acceleration due to gravity remains the same, what is the total distance the object travels in 2 seconds? 10.8 m 19.6 m 21.6 m 39.2 m

Answers

The total distance the considered fallilng object travels in 2 seconds is given by: Option C: 19.6 m

What are equations of motion?

There are three equation of motions that can be used when motion of the object is under constant acceleration and on a straight path.

They are listed below as:

[tex]v = u + at\\\\s = ut + \dfrac{1}{2} at^2\\\\v^2 = u^2 + 2as[/tex]

where the symbols have following meanings:

u = initial velocity of the considered objectv = final velocity of the objecta = acceleration of the objects = distance traveled by the object in 't' time.

Here, assuming negligible air resistance, and ideal situations, the free fall of the considered object can be modeled by these equations of motion.

Here, according to sign convention, we have:

[tex]a = -g = -9.8 \: \rm m/s^2[/tex]

Due to free fall, we have: [tex]u = 0[/tex]

Thus, the net displacement (taking the window as origin) is given by equation:

[tex]s = \dfrac{-gt^2}{2}[/tex]

The distance that object traveles in 2 seconds is the absolute displacement it gets in 2 second of freefall.

This is obtained as:

[tex]D_2 =|s|_2 = \left| \dfrac{-9.8 (2)^2}{2} \right| = 19.6 \: \rm m[/tex]

Thus, the total distance the considered fallilng object travels in 2 seconds is given by: Option C: 19.6 m

Learn more about equation of motion here:

https://brainly.com/question/5955789

What is the perimeter of triangle ACD?

Will mark brainlyest!!!

Answers

Answer:

12

Step-by-step explanation:

Perimeter: a + b + c

Now lets solve!!

5 + 4 + 3 = ?

9 + 3 = ?

12 = ?

Have an amazing day!!!

Please rate and mark brainliest!!

4
Is this a function?
Is this a function?
Yes
No
Cannot be
determined
A Yes
B) No
Cannot be determined

Answers

Yes, there aren’t two points touching the same y-line

The ratio of the number of dolls Jacky had to the number of dolls Peter had was 5 : 2 but, after Jacky gave 15 dolls to Peter, they have an equal number of dolls. How many dolls did they have altogether?

Answers

Answer:

35 [$]

Step-by-step explanation:

1) if Peter's sum is p and Jacky's is j, then the ratio 5:2 in the condition can be written j/p=5/2;

2) the phrase 'after Jacky gave 15 dolls to Peter, they have an equal number of dolls' can be written as j-15=p;

3) using the two above it is possible to make up the system of two equations:

[tex]\left \{ {{\frac{j}{p} =5/2} \atop {j-15=p}} \right. \ = > \ \left \{ {{j=2.5p} \atop {j-15=p}} \right. \ = > \ \left \{ {{j=25} \atop {p=10}} \right.[/tex]

4) finally, the have together 10+25=35 doll-s.

Jacky and Peter had a total of 70 dolls altogether.

What is an equation?

A equation is an expression that shows the relationship between two or more numbers and variables.

Let x represent the number of Jack doll and y represent Peter doll, hence:

x - 15 = y + 15  (1)

Also:

(5/7)(x + y) = x   (2)

From both equations:

x = 50, y = 20

x + y = 50 + 20 = 70

Jacky and Peter had a total of 70 dolls altogether.

Find out more on equation at: https://brainly.com/question/2972832

A, b, and c are polynomials, where: a = 3x – 4 b = x 7 c = x2 2 what is a2 – (b c) in simplest form? 8x2 – 25x 7 8x2– 25x 11 10x2 – 25x 7 10x2 – 25x 11

Answers

The expression A² – (B + C) in its simplest form is 8x² – 25x + 7

What is the polynomial?

A polynomial function is an expression constructed with one or more terms of variables with constant exponents.

Data obtained from the question

A = 3x – 4, B = x + 7, C = x² + 2, A² – (B + C) =?

The simplest form of the polynomial is given by;

(3x – 4)² – (x + 7 + x² + 2)

9x² – 12x – 12x + 16 – (x + x² + 9)

9x² – 24x + 16 – x – x² – 9

9x² – x² – 24x – x + 16  – 9

8x² – 25x + 7

Hence, the simplest form of the polynomial is A² – (B + C) = 8x² – 25x + 7.

Learn more about quadratic equations:

brainly.com/question/12585213

Answer: A: 8x^2 - 25x + 7

Step-by-step explanation: got it right :)

Can SOMEONE HELP???
65 BRAINLIEST!

Answers

Answer: m<CBE = 129°

Step-by-step explanation:

we know that,

m<CBE = (14x + 17)°

m<FEH = (19x -23)°

since L║m,

m<CBE = m<FEH

(14x + 17)° = (19x -23)°

through the above equation we formed, we find the value of x :

14x + 17 = 19x -23

19x - 14x = 17 + 23

5x = 40

x = 40/5

x = 8

now we put the value of x in the m<CBE :

m<CBE = (14x + 17)°

m<CBE = ( 14(8) + 17 )°

m<CBE = ( 112 + 17)°

m<CBE = 129° Answer...

hope that helps...

Write 1.38 as a fraction

Answers

Answer:

69/50

Step-by-step explanation:

138/100

69/50

HELP HURRY PLEaSE THIS IS IMPORTANT!

Answers

Answer:

LMJ and KJM

Step-by-step explanation:

alternative interior

this means, they're on opposite sides of the line-break, and are inside the parallel lines.

hope this helps.

As a new year's resolution, jimmy has agreed to pay off his 4 credit cards and completely eliminate his credit card debt within the next 12 months. listed below are the balances and annual percentage rates for jimmy's credit cards. in order to pay his credit card debt off in the next 12 months, what will jimmy's total minimum credit card payment be?

Answers

The percentage shows that the value of Jimmy's total minimum credit card payment will be $411.25.

How to compute the minimum value?

From the complete information, the balances and annual percentage rates for Jimmy's credit cards are given.

Therefore, the minimum amount for the credit card will be $411.25. This will be necessary to pay his credit card debt off in the next 12 months.

Learn more about percentages on:

https://brainly.com/question/24304697

True or false please help

Answers

Answer:  False

Explanation:

The number [tex]\pi[/tex] (read out as "pi") is approximately 3.14

So [tex]3 \times \pi = 3\pi \approx 3*3.14 \approx 9.42[/tex]

On the other hand,

[tex]\sqrt{64} = \sqrt{8^2} = 8[/tex]

So we can see that the original claim is false because [tex]3\times \pi \approx 9.42[/tex] is not smaller than [tex]\sqrt{64} = 8[/tex]. It should be the other way around.

What translation is shown below?

Will mark brainlyest!

Answers

Answer: 3 units down

Explanation: start at A and counted down until I got to A prime

use a quadratic function to model the area of each function. graph the function. evaluate each function for x = 8

top of square: 2x + 4, side: x +3

(other question)

top: 3x - 9, side: x + 2

HELP

Answers

Answer:

A=220 and 150 un^2

Step-by-step explanation:

The area for a square is LxW

you have one square with dimensions 2x+4 by x+3 and another with dimensions 3x-9 by x+2

for your first set: A=LxW= (2x+4)*(x+3)

evaluate at x=8: A= (2(8)+4)*(8+3) = 220

second set: A=LxW = (3x-9)*(x+2)

evaluate at x=8: A= (3(8)-9)*(8+2) = 150

Buster was given this expression and asked to determine whether the answer is greater than or less than 1. (9.763 × 108) (1.56 × 1013) how can buster tell without fully performing the calculations? buster knows the answer is more than 1, because he can add the exponents to see that the solution will have an exponent of 21. buster can tell the answer is less than 1, because he can subtract the exponents to see that the solution will have an exponent of –5. buster knows the answer is more than 1, because 9.763 ÷ 1.56 is more than 1. buster cannot answer the question without a calculator.

Answers

The given expression (9.763 × 10^8)/ (1.56 × 10^13) is less than 1.

What is a fraction?

A fraction represents a part of a number or any number of equal parts.

Buster was given this expression and asked to determine whether the answer is greater than or less than 1.

(9.763 × 10^8)/ (1.56 × 10^13).

The given expression is the numerator (9.763 × 10^8) is less than (1.56 × 10^13)  the denominator.

Therefore,

10^8 > 10^13

Hence, the given expression is less than 1.

To know more about Fractions;

brainly.com/question/1301963

Answer:

B

Step-by-step explanation:

Buster can tell the answer is less than 1, because he can subtract the exponents to see that the solution will have an exponent of –5.

Ms. Sampson tells her class to write an equivalent fraction for 1/2. Lucy writes 3/8 and Tim writes 4/8. Wich student is correct? Explain how you know

Answers

Answer:

Tom 4/8

Step-by-step explanation:

if you simplify 4/8 it will give u 1/2

Need help 10 points

Answers

The answer is C
Because when the circle isn’t bolded in, then it is less than or greater than depending on which way the line is going.

check your solution 1=g-3​

Answers

Answer:

g = 4

Step-by-step explanation:

1 = g - 3

1 + 3 = g

4 = g

to check:

1 = (4) - 3

1 = 1

correct!

The diameter of a circle is 32 cm. Find its area to the nearest whole number.

Answers

Answer:

Step-by-step explanation:

radius=1/22 of 32= 16

Area of a circle

22/7×16×16=805cm2

Ellen is decorating a ballroom ceiling with garland. If the rectangular ceiling is 48 feet by 64 feet, how much garland will Ellen need to reach from one corner of the ceiling to the opposite corner

Answers

80 feet; (use Pythagorean Theorem: leg^2 + leg^2 = hyp^2 )

if a person travels 1/4 miles in 1/6 hour,how fast are they traveling in miles per hour

Answers

Answer:

3/2 or 1.5 miles per hour

Step-by-step explanation:

Speed Formula:

[tex]\displaystyle \large{s=\dfrac{d}{t}}[/tex]

speed = distance/time

Given:

Distance = 1/4 milesTime = 1/6 hour

Therefore:

[tex]\displaystyle \large{s=\dfrac{\dfrac{1}{4}}{\dfrac{1}{6}}}\\\displaystyle \large{s=\dfrac{1}{4}\cdot 6}\\\displaystyle \large{s=\dfrac{6}{4}}\\\displaystyle \large{s=\dfrac{3}{2} \ \tt{miles/hour}}[/tex]

Therefore, they are traveling 3/2 or 1.5 miles per hour.

You are playing a game that uses two fair number cubes. If the total on the number cubes is either 6 or 10 on your next turn, you win the game. What is the probability of winning on your next turn? Express your answer as a percent. If necessary, round your answer to the nearest tenth.

Answers

The probability of winning on the next turn in a play of game that uses two fair number cubes is 0.2222 or 22.22%.

What do you mean by probability?

Probability of an event is the ratio of number of favorable outcome to the total number of outcome of that event.

You are playing a game that uses two fair number cubes. If the total on the number cubes is either 6 or 10 on your next turn, you win the game.

In the two fair number cubes, there are total 36 outcomes. In this fair,

Total number of outcome of rolling 6 is 5 (1,5),(2,4),(3,3),(4,2)(5,1)Total number of outcome of rolling 10 is 3 (4,6),(5,5),(6,4).

Total number of favorable outcome is,

[tex]5+3=8[/tex]

Thus, the probability of getting these 8 outcomes from 36 outcomes is,

[tex]P=\dfrac{8}{36}\\P=0.222\\P=22.22\%[/tex]

Thus, the probability of winning on the next turn in a play of game that uses two fair number cubes is 0.2222 or 22.22%.

Learn more about the probability here;

https://brainly.com/question/24756209

#SPJ1

Deepak randomly chooses two marbles from the bag, one at a time, and replaces the marble after each choice. what is the probability he will choose one green marble and then one red marble? express the probabilities in fraction form. p(green) = p(red) = p(green and red) =

Answers

Probability of an event measures its chance of occurrence. P(Green in first draw) = 5/14, P(Red in second draw) = 2/14. P(Green in first and red in second draw) = 5/98

How to calculate the probability of an event?

Suppose that there are finite elementary events in the sample space of the considered experiment, and all are equally likely.

Then, suppose we want to find the probability of an event E.

Then, its probability is given as

[tex]P(E) = \dfrac{\text{Number of favorable cases}}{\text{Number of total cases}} = \dfrac{n(E)}{n(S)}[/tex]

where favorable cases are those elementary events who belong to E, and total cases are the size of the sample space.

What is chain rule in probability?

For two events A and B, by chain rule, we have:

[tex]P(A \cap B) = P(B)P(A|B) = P(A)P(B|A)[/tex]

where P(A|B) is probability of occurrence of A given that B already occurred.

How to find if two events are independent?

Suppose that two events are denoted by A and B.

They are said to be independent event if and only if:

[tex]P(A \cap B) = P(A)P(B)[/tex]

It is because

[tex]P(A|B) = P(A)\\P(B|A) = P(B)[/tex]

and therefore, using chain rule and above facts gives:

[tex]P(A \cap B) = P(A)P(B)[/tex]

The question is missing some informations, which are:

Total marbles in the bag = 14Total red marbles = 5Total green marbles = 2rest of the 7 marbles are of some other colors.

The result of first draw and the second draw are independent of each other as Deepak replaces the marble after first draw, therefore, making no changes in the count of balls of each color in the considered bag, which decides the probability needed.

Now, let we take:

A = probability that Deepak picks green ball in first draw

B = probability that Deepak picks red ball in the second draw

Then, we get:

[tex]P(A) =\dfrac{5}{14}\\\\P(B) = \dfrac{2}{14}\\\\P(A \cap B) = P(A)P(B) = \dfrac{5 \times 2}{14^2} = \dfrac{5}{98}[/tex]

(there are 14 ways to select a ball, but 5 favorable ball for event A to occur, and 2 favorable balls for event B to occur,therefore the aforesaid probabilities.)

Thus, for this case, we get:

P(Green in first draw) = 5/14, P(Red in second draw) = 2/14. P(Green in first and red in second draw) = 5/98

Learn more about probability here:

brainly.com/question/1210781

ens
00
A painter charges $15.47 per hour, plus an additional amount for the supplies. If he made $158.31 on a job where he worke
5 hours, how much did the supplies cost?
$90.96

Answers

Calculations in dollars

(15.47 x 5) + x = 158.31
77.35 + x = 158.31
x = 158.31 - 77.35
x = 80.96

if i have 37 test and i do 12 test a week how many weeks its gonna take

Answers

Answer:

4 weeks

Step-by-step explanation:

Answer:

well if i am correct 25 weeks (correct me if i am wrong please lol.)

Step-by-step explanation:

Other Questions
Inflation can be calculated in terms of how the overall cost of ___________________ changes over time. How many different principal quantum numbers can be found in the ground-state electron configuration of nickel Ano ang panayam?? Pls help hindi ko alam which one should i put on a project how do you solve this 1. Please show stepsWrite the expression in simplest form.( Sqrt x-sqrt3y) (sqrt x + sqrt3y) 44. HIPAA compliance can be violated by doing all the following, except:Database breachesGossiping or sharing personal health informationDocumenting in a secure locationTelling family members about a resident's medical history Difference between electrolytes and nonelectrolytes. Yikes!Mr. Weiser is making flags of various countries for an international convention. On the flag of Namibia, he sees that the red diagonal band divides the flag into a blue triangle at the top and a green triangle at the bottom. He measures the three sides of the triangle to be 66 centimeters, 112 centimeters, and 130 centimeters.What must be true to prove that the green triangle on the flag of Namibia is a right triangle? A. 662 + 1122 > 1302 B. 1302 + 1122 = 662 C. 66 + 112 > 130 D. 662 + 1122 = 1302 (21x y) divided by 3xshow ur work Whats the distance between -50 and 30 uhh lol help? '' The Jurassic period (199.6 million to 145.5 million years ago) was characterized by a warm, wet climate that gave rise to lush vegetation and abundant life. Many new dinosaurs emergedin great numbers. Among them were stegosaurs, brachiosaurs, allosaurs, and many others. Combined these three dinosaurs measured over 749 feet tall. The brachiosaurs was four times larger than the allosaurs, the stegosaurs was twice the size of the allosaurs. How tall was the brachiosaurs? "A. 107 feetB. 214 feetC. 321 feetD. 428 feet Which area is particularly challenging when recruiting workers for small businesses?. can someone please help me i will mark the first person that gives me the help i am looking for the brainlyest Which sentence is punctuated correctly? A. I scored a higher grade, on this test, than any other I've taken in my entire life B. I scored a higher grade, on this test, than any other Ive taken in my entire life. C. I scored a higher grade on this test than any other Ive taken in my entire life D. I scored a higher grade on this test than any other I've taken in my entire life. Your mom is building a garden around a fountain she has a space marked out but decides she wants to enlarge it without altering the center of it what type of transformation is this Be Honest Is this Better than the original shiny What was the purpose of harndy and Weinberg work can some one help with this question? asap As Raj stood still, he heard a giggle floating on the wind from the direction of a nearby maple tree. Raj quietly tiptoed to the tree, waited one second, and then peeked around the trunk.How does the illustration add to the meaning of the passage?a) Maria's expression shows that she is tired of playing hide and seek.b) The expressions on both characters' faces show they enjoy this activity.c) Raj's clothing shows that he came prepared to play hide and seek all day.d) Maria's clothing shows that she does not always make the best choices. What does a sustainable agriculture technician do?studies farming methodsmanages animal populationsplants treescreates biofuels