Maurice's teacher asked him to compare the mean and median of the data distribution explain and correct Maurice's error in comparing the mean and the median
Answers
The first part where he mentions "The distribution is skewed right" is correct. The tail on the right hand side is pulled longer than it should be, or longer compared to the left tail. "Right skew" or "skewed right" is the same as "positively skewed". They all mean the same thing.
The portion where Maurice says "This implies that the mean is less than the median" is incorrect. This is where his error is located. The reason for the error is because it should be "The mean is greater than the median" when we have right-skewed data like this.
Here's one example to see why this is the case. Consider the distribution {1,2,3,4,5}. We can see that the median is 3 since it's directly in the center. The mean is also 3 since we add up all the values and divide by 5. Symmetric data has mean = median. Now, we'll replace the '5' with something much larger to get a large outlier. Let's say we have the set {1,2,3,4,55}. The median is still 3. The outlier doesn't pull on the median. However, the mean has changed and it is (1+2+3+4+55)/5 = 65/5 = 13. The mean went from 3 to 13. Therefore, mean > median here. The mean is affected by outliers. Think of it like the outlier is pulling on the mean in a sort of magnetic way. This outlier makes the mean larger than it should be. If the outlier is extreme enough, then it sometimes makes sense to consider the trimmed mean as opposed to the regular arithmetic mean. The trimmed mean is the mean of the main cluster of values ignoring the outlier(s).
-----------------------
To recap:
If we have right skewed data, then mean > median
As you can probably guess, if we had left-skewed data, then mean < median. In symmetric data, mean = median.
Related Questions
Inverse of j(x)=x-7/10
Answers
Answer:
j^-1(x)=x+7/10
Step-by-step explanation:
y=5x-22-x+8 y=-20
find x and y show work.
Answers
See attached photo. Good luck.
Hey guys I have a question!
What would my grade be if I have 100% now but then get a %50 on a test what would my grade be now after the test that I took and got a %50 on it?
Answers
A boat can travel 456 miles on 114
gallons of gasoline. How far can it
travel on 67 gallons?
Answers
Answer:
268 miles i think
Step-by-step explanation:
if 456=114 gallons
456/114=4
so 4 miles per gallon
and then
4*67=268
Hope this helps: )
Write the equation of the line that is perpendicular to y - x = 7 and that passes through the point (- 2, - 2) . Give your answer in slope-intercept form. Plz I need this bad
Answers
Answer:
[tex]y = -x[/tex]
Step-by-step explanation:
Given
Perpendicular to: y - x = 7
Passes through: (2,2)
Required: The line equation
In [tex]y - x = 7[/tex]
[tex]y = x + 7[/tex]
An equation has the form: [tex]y = mx + b[/tex] where m is the slope
So:
[tex]m = 1[/tex]
The required equation is parallel to [tex]y = mx + b[/tex]. This means that:
[tex]m_2 = -\frac{1}{m_1}[/tex]
[tex]m_2 = -\frac{1}{1}[/tex]
[tex]m_2 = -1[/tex]
The equation isthen calculated using:
[tex]y = m(x - x_1) + y_2[/tex]
[tex]y = -1(x - (-2)) -(-2)[/tex]
[tex]y = -1(x +2) +2[/tex]
[tex]y = -x -2 +2[/tex]
[tex]y = -x[/tex]
Part A
Monica estimates the recipe makes about 5 cups of fruit salad,
Which explanation describes whether Monica's estimate is reasonable?
Not reasonable. Four fractions cannot equal more than 4 cups.
Not reasonable. The whole numbers add up to 3 so the total sum
cannot be 5 cups
Reasonable. The grapes and apples is about 2 cups and pears and
oranges is exactly 3 cups.
Reasonable. The pears and apples is about 3 cups and the grapes
and oranges is exactly 2 cups.
PLAY
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Part B
What is the exact amount of fruit salad in cups?
cups
o
Enter your answer as a fraction or a mixed number.
What is the exact amount of fruit salad is in cups?
Answers
Answer:
answer is c
Step-by-step explanation:
oranges in Paris are three cups and grapes and apples are about two cups. (1 11/12 cups to be exact)
the exact amount of five portions of fruit salad and fraction form is 59 / 60
If you graphed the equation, y = -6, what kind of line would you create?
Answers
5. Suppose that a study of oral contraceptive (OC) use and development of bacteriuria was conducted among 2,390 women, all of whom were initially free from bacteriuria. At the start of the study, the women were surveyed to determine whether or not they currently used OCs. 482 were using OCs and 1908 were not. By the end of the follow-up period, a total of 27 of the OC users and 77 of the non-users had developed bacteriuria. Shambhavi A. Is this a cohort study or an experimental study
Answers
Answer:
Cohort study
Step-by-step explanation:
The study described above is closely related to a cohort study in that Cohort studies mainly observes the participants who might or might not have been exposed to a particular effect or drug, in this case the oral contraceptive and bacteriuria development. The effect of exposure is observed for a certain period time usually called the follow-up period. Conversely, experimental study will require that participants are divided into groups with one group being exposed to the treatment while the other will be the placebo.This isn't the case in the study described above, hence, it is closely related to a cohort study.
Your parents car initially costs $18,000 and it depreciates at a rate of 12% a year. How much will the car be worth after 5 years.
Using this equation, when your parents give you the car when the value drops below $2,000, in what year of depreciation will you become the owner?
Answers
Answer:
Step-by-step explanation:
value after five years = $18,000×(1-0.12)⁵ = 18,000×0.88⁵ = $9,499.17
:::::
The value drops below $2,000 in the 17th year.
Find the slope of the line containing the given pair of points. If the slope is undefined, state this. (-8,0) and (4,0)
Answers
Answer:
The slope is 0
Step-by-step explanation:
Given
[tex](x_1,y_1) = (-8,0)[/tex]
[tex](x_2,y_2) = (4,0)[/tex]
Required
The slope (m)
This is calculated as"
[tex]m=\frac{y_2-y_1}{x_2 - x_1}[/tex]
[tex]m=\frac{0-0}{4 -(-8)}[/tex]
[tex]m=0[/tex]
The slope is 0
Find the equation of the line passing through the point (8, -4) and slope -4.
A: y + 4x = 22
B: y + 4x = 28
C: y - 4x = 28
D: y + x = 36
Answers
Answer:
y+4x=36
Step-by-step explanation:
the answer isn't in the choice
a rectangular garden will be fenced on all four sides. If 120 ft. of fencing are available, what should be the dimensions of garden to maximize the area? What is the maximum area
Answers
Answer:
30 by 30. Area=900
Step-by-step explanation:
The dimensions of the garden to maximize the area are length + width = 60 and the maximum area is 900 ft².
A rectangular garden will be fenced on all four sides.
120 ft. of fencing is available, what should be the dimensions of the garden to maximize the area and What is the maximum area to be determined.
The rectangle is a four-sided polygon whose opposites sides are equal and has an angle of 90° between its sides.
The perimeter of the rectangle = 120
Perimeter = 2 (length + width)
120 =2(length + width)
length + width = 120/6
length + width = 60 - - - -(1)
So, the sum of the sides of the rectangle should not increase by 120.
Now, the Maximum area of a rectangle,
Let Length = width
Equation 1
Length + Length = 60
length = 60/2
length = 30 = width
Area of the rectangle = length * width
= 30 * 30
= 900 ft²
So the maximum area of the rectangle is 900ft²
Thus, the dimensions of the garden to maximize the area is length + width = 60 and maximum area is 900 ft².
Learn more about rectangles here:
https://brainly.com/question/16021628
#SPJ5
A bag contains pennies, nickels, dimes, and quarters. There are 50 coins in all. Of the coins, 16% are pennies and 40% are dimes. There are 5 more nickels than pennies. How much money does the bag contain?
Answers
Answer:
$4.98
Step-by-step explanation:
50*16%=8 (pennies), 50*40%=20 (dimes)
8+5=13 (nickels), 50-(8+20+13)=9 (quarters)
So the money in total is 8*0.01+20*0.1+13*0.05+9*0.25=$4.98
ANSWER: $4.98
Steps for pennies:
1.) 50 * .16 = 8
8 pennies out of 50 coins
2.) 1 cent * 8 = 8 cents
Steps for dimes:
1.) 50 * .40 = 20
20 dimes out of 50 coins
2.) 10 cents * 20 = 200 cents = $2
Steps for nickels:
1.) 8 + 5 = 13
13 nickels out of 50 coins
2.) 5 cents * 13 = 65 cents
Steps for quarters:
1. 8 + 20 + 13 = 41
2. 50 - 41 = 9
3. 9 * .25 = $2.25
FINAL STEP:
8 cents + $2 + 65 cents + $2.25 = $4.98
ANSWER: the bag contained $4.98
*to change a percentage into a decimal move the decimal point 2 places to the left. Ex.) 50% > 50. > .50
50% = .50
WILL MARK BRAINLEST AND WILL GET 5 STARS REVIEW
Tom’s Taxis charges a fixed rate of $4 per ride plus $0.50 per mile. Carla’s Cabs does not charge a fixed rate but charges $1.00 per mile.
a. Write an equation that represents the cost of Tom’s Taxis.
b. Write an equation that represents the cost of Carla’s cabs.
Answers
Answer:
a. y= 4 + 0.50x b. y= 1.00x
Step-by-step explanation:
Answer:
a. y = 0.5x +4 b. y = x
Step-by-step explanation:
a. Tom’s Taxis charges a fixed rate of $4 per ride plus $0.50 per mile.
m = $0.50 per mile
b = $4 per ride
y = 0.5x +4
b. Carla’s Cabs does not charge a fixed rate but charges $1.00 per mile.
m = $1 per mile
b = $0 per ride
y = x
Question 17 of 48
int
Section: Math
Question:
If a plane can climb at 2.400 feet per minute, how many minutes are needed to climb to 60,000 feet?
Answers
Answer:
25
Step-by-step explanation:
I divided it and got the answer :)
Answer:
25 min.
Step-by-step explanation:
To find the answer, we just divide 60,000 by 2,400 and we get 25.
PLEASE HELP 55 POINTS
Answers
Answer:
Blue square = x²
Orange square = 6x
Yellow square = 4x
White square = 24
!!!!HELP ME PLZZZZZZZZZZZZZ
Answers
Answer:
2) Yes
3) No
4) Yes
5) 2x + 8
6) 5(x - 8)
7) 3x + 21
Hope this helps :)
Help please
Another one
Answers
Answer:
1/3
Step-by-step explanation:
there is 3 red marbles out of 9 marbles
3/9 simplified is 1/3
roshaun has saved 150$ and continues to add 10$ each week. Keegan starts with 0$ and saves 25$ each week. In how many weeks will they have the same amount of money?
Answers
Answer:
10 weeks
Step-by-step explanation:
Create a system of equations demonstrating Roshaun and Keegan's savings.
Roshaun: 150 + 10x Keegan: 0 + 25xLet x equal the number of weeks they save their money.
In order to calculate how many weeks they will have the same amount of money saved, we need to set their equations equal to each other and solve for x.
150 + 10x = 25xSubtract 10x from both sides of the equation.
150 = 15xDivide both sides of the equation by 15.
x = 10In 10 weeks, Roshaun and Keegan will have the same amount of money.
Luigi owns a few square tables and some chairs for his little restaurant. If he sets out individually with 4 chairs each, then he is 6 chairs short. If he always puts two tables together to create a bigger table with 6 chairs, then he has 4 chairs left over. How many tables does Luigi have?
It would be best if you explained your work. Any 'troll answers' will be reported.
Answers
Answer:
Suppose there are 10 tables. Putting 4 chairs at each table requires 4*10 = 40 chairs. Since this is 6 more chairs than he has, he must have 40 - 6 = 34 chairs.
Now suppose we put pairs of table together ("double tables"), so that 6 chairs can fit around each pair. With 10 tables, there will be 5 pairs, and with 6 chairs around each of these, we need 5*6 = 30 chairs. So 4 of the 34 chairs are left over. That's exactly what the problem said, so this is the answer.
Now, you may find that this check provides you with a model for the second equation you need to write! At least, I hope it clarifies what the problem means by "double tables".
Step-by-step explanation:
this is just my interpritation, please tell me if wrong!!!
What value should n represent in order for the expression
2(x - n) to be equivalent to your expression 2x - 12?
Answers
Answer:
6
Step-by-step explanation:
[tex]\frac{12}{2}[/tex]=6
ILL GIVE YOU BRAINLIEST
Answers
Answer:
I believe that u are right with the answer A: 302 in.²
This Stem-and-Leaf Plot shows the number of minutes a group of students spent talking on the phone on a particular day. If 33 and 35 are added to the data, which statement will be true?
A. The median will change; the mode will stay the same.
B. The mode will change; the median will stay the same.
C. The median and the mode will both change.
D. The median and the mode will stay the same.
Answers
Answer: correct answer is a
Step-by-step explanation:
(All for fun!)
Ok, if theres 24 hours in a day and the flavor of the sky is watermelon how many people were born tomorrow?
If the color of the alphabet was 7 and you’re at home on the way to school whats your favorite subject?
How old are you on your 7th birthday when you’re not born yet if i like potatoes?
QUICK ANSWER FAST BEFORE YESTERDAY!
Answers
Answer:
1. red humans, or aleins?
2. i dont know to be honest
3. -7 yrs old?
Answer:
I dont know
Step-by-step explanation:
If you're eating a bag of water for breakfast at night how many guitars do you need to milk a cow?
E
B
AACB = ADCE, AB = 8 and AC = 6
DE = [ ? ]
Answers
Answer:
88888888888888888888888888
Step-by-step explanation:
8
NEED HELP MY GRADE DEPENDS ON THIS QUESTION!!!
Write a congruence statement that describes the figures below.
Answers
Answer:
✓ triangle GSP = triangle RKF
Step-by-step explanation:
have a great day!
Lena is asked to write an explicit formula for the graphed geometric sequence.
On a coordinate plane, 3 points are plotted. The points are (1, 1), (2, 2.5), (3, 6.25).
What value, written as a decimal, should Lena use as the common ratio?
1.0
1.5
2.5
2.0
Answers
Answer:
C
Step-by-step explanation:
I took the quiz and got it right
The common ratio of the geometric sequence is r = 2.5
What is Geometric Progression?A geometric progression is a sequence in which each term is derived by multiplying or dividing the preceding term by a fixed number called the common ratio.
The nth term of a GP is aₙ = arⁿ⁻¹
The general form of a GP is a, ar, ar2, ar3 and so on
Sum of first n terms of a GP is Sₙ = a(rⁿ-1) / ( r - 1 )
Given data ,
Let the terms of the GP be represented as A
Now , A = 1 , 2.5 , 6.25
where the common ratio = second term / first term
On simplifying , we get
r = 2.5 / 1
r = 2.5
Hence , the common ratio is r = 2.5
To learn more about geometric progression click :
https://brainly.com/question/1522572
#SPJ7
look at pic for answer will mark brainilest PLEASE
Answers
Answer:
I believe B is the independent variable.
Step-by-step explanation:
an independent variable represents a quantity that can be manipulated in this situation it would the number of bushels that can be manipulated.
Can some one help me 2⅛-1⅜
Answers
Answer:
6 / 8 or 3 / 4
Step-by-step explanation:
Subtraction lol
find the value of x pleaseee
Answers
Answer:
57 degress
Step-by-step explanation:
alternate angles theorem
