Answers
The Median is the "middle" of a sorted list of numbers.
To find the Median, place the numbers in value order and find the middle
case a) the data is
3,8,4,8,3
place the numbers in value order-----> 3,3,4,8,8
the middle is 4
so
the median is 4
case b) the data is
2,2,3,5,5
place the numbers in value order-----> 2,2,3,5,5
the middle is 3
so
the median is 3
case c) the data is
6,2,6,2,6
place the numbers in value order-----> 2,2,6,6,6
the middle is 6
so
the median is 6
case d) the data is
1,3,4,3,1
place the numbers in value order----->1,1,3,3,4
the middle is 3
so
the median is 3
we know that
The Mean is most often chosen when the data is continuous and symmetrical (normal). ------> case a) case c) and case d) If the data has outliers or is skewed, then the mean would paint a skewed view of centrality
The Median is especially useful with skewed distributions as it draws the line right in the middle of your data set------> case b)
therefore
the answer is
case b)
Answer with explanation:
Mean is sum of all the observation divided by total number of observation, where as median is middlemost observation of the data set, while mode is most occurring variate or data value in the data set.
1. Variate or Data set which is represented in Histogram is
3,8,4,8,3
Arranging it in ascending order, we get
3,3,4,8,8
Data is skewed right.So, Mean >Median>Mode
Mean =5.2
Number of observation is 5. So,Median will be Middle term,that is third term equal to 4.
Mode =3 or ,8 which will be equal to 3,as data is skewed right.
→Mean gives better representation of data set,because, 5.2-3=2.2 and, 8-5.2=2.8
2. Variate or Data set which is represented through dots is
2, 2, 3,5,5
Arranging it in ascending order, we get
2,2,3,5,5
Data is skewed right.So, Mean >Median>Mode
Mean=3.4
Number of observation is 5. So,Median will be Middle term,that is third term equal to 3.
Mode =2 or 5 which will be equal to 2,as data is skewed right.
→Mean gives better representation of data set,because, 3.4-2=1.4 and, 5-3.4=1.6
3. Variate or Data set which is represented in Histogram is
6,2,6,2,6
Arranging it in ascending order, we get
2,2,6,6,6
Data is skewed left.So, Mean <Median<Mode
Mean=4.4
Number of observation is 5. So,Median will be Middle term,that is third term equal to 6.
Mode =6
→Mode gives better representation of data set.
4.Variate or Data set which is represented through dots is
1,3,4,3,1
Arranging it in ascending order, we get
1,1,3,3,4
Data is skewed left.So, Mean <Median<Mode
Mean=2.4
Number of observation is 5. So,Median will be Middle term,that is third term equal to 3.
Mode =1 or 3,data is skewed left,so mode =3
Here, in this data set, both mode and median are better measure of center than Mean,as there are two modes in the data set, so choosing median as measure of center,because data is skewed left,
For ,Option 4: Median is the better measure of center.
Related Questions
PLEASE HELP ME ON THIS
Answers
[tex]\sqrt[5]{224x^{11}y^8} = \sqrt[5]{32*7*x^5*x^5*x*y^5*y^3}[/tex]
[tex]\sqrt[5]{224x^{11}y^8} = \sqrt[5]{32}*\sqrt[5]{7}*\sqrt[5]{x^5}*\sqrt[5]{x^5}*\sqrt[5]{x}*\sqrt[5]{y^5}*\sqrt[5]{y^3}[/tex]
[tex]\sqrt[5]{224x^{11}y^8} = 2*\sqrt[5]{7}*x*x*\sqrt[5]{x}*y*\sqrt[5]{y^3}[/tex]
[tex]\sqrt[5]{224x^{11}y^8} = 2x^2y*\sqrt[5]{7xy^3}[/tex]
Thanks.
64,55,46,37,28,19 find the math patter what goes next
Answers
From one number to the next, the number decreases by 9.
10 goes next, since 19 - 9 = 10
Hope This Helps!
The area of a right triangle is 336 square centimeters. The base of the right triangle is 48 centimeters. What is the length of the hypotenuse of the right triangle? Enter your answer in the box.
Answers
[tex]336 = \frac{1}{2} 48h [/tex]
[tex]336 = 24h [/tex]
[tex] \frac{336}{24} = h [/tex]
[tex] 14 = h [/tex]
Then using Pythagorean theorem
[tex] b^{2} + h^{2} = Hyp^{2} --> 48^{2} + 14^{2} = hyp^{2} [/tex]
[tex] hyp = \sqrt{2304 + 196} = 50 cm [/tex]
Answer:
50
Step-by-step explanation:
First we have to find the height. Since we know the area we can use it to find the height. The area of a triangle is A=bh1/2 or half of the base times the height. So if we plug in what we know and solve, we can find the height. 336=48 x h x 1/2. The height is 14. Now we can solve for the hypotenuse using the Pythagorean Theorem. a^2 + b^2 = c^2 plug in what we know... 14^2 + 48^2 = c^2 simplify to get 196+2304= c^2 and further 2500= c^2 so find the square root of 2500. You will get 50.
How many lines intersect at point O?
4
2
1
3
Answers
Instead of focusing on the absence of mental illness as an indication of mental health, Abraham Maslow and CarlRogers would focus more on____________ (1 point),
Answers
satisfying basic physiological needs
creating pyramidal charts
outcome and behavior
the full realization of an individual's self
Then the answer is the last option.
Abraham Maslow and CarlRogers would focus more on the full realization of an individual's self.
Tanya wants to find the height of the tree. She walks away from the base of the tree so the tip of her shadow coincides with the tip of the tree's shadow at point C. BE is two and a half times EC. Tanya is 5 feet, 3 inches tall. How tall is the tree in feet?
Answers
18 feet and 4.5 inches
Explanation
You are going to use the concept of similar triangle.
∆CED≡∆CBA
This is because they share the angle at C and also they both have an angle of 90o.
Let EC = X, then BE = 2.5X. So, BE = (X + 2.5X) = 3.5X
The scale factor EC/BC=x/3.5x=2/7
EC/BC=ED/BA=2/7
BA=7/2×63 in
The height of the tree = 220.5 inches. This is equal 18 feet and 4.5 inches.
use the formula a=h/n to find the batting average a of a batter who has h hits in n times at bat.Solve the formula for h. if a batter has a batting average of .290 and has at bat 300 times, how many hits does the batter have?,
Answers
The formula given is:
a = [tex] \frac{h}{n} [/tex]
To solve for h, we need to isolate the h on one side of the equation.
This can be done as follows:
a = [tex] \frac{h}{n} [/tex]
Multiply both sides by n:
an = [tex] \frac{h}{n} [/tex] * n
h = a*n
Part 2: getting the value of h:
We are given that:
The average (a) = 0.290
n = 300 times
Substitute with the givens in the equation we got in part (1) to get the value of h as follows:
h = a * n
h = 0.290 * 300
h = 87 hits
Hope this helps :)
⭐️ Anyone know how to work this?...
Answers
so its 120
6 grade course 1 countdown 8 and 7 weeks
Answers
Part B - 16
2. Box number 1 and 2
3. I am not sure.
In a pond, lotus flower multiply its self after every 4 days. One lotus multiplies into two after four days, into 4 after 8 days, into 8 after 16 days and so on. If you see one lotus flower in a pond today, how many flowers will be there in the pond after 32 days.
Answers
# of flower: 1, 2, 4, 8, 16
# of days: 4, 8, 16, 32
You are doubling the number of flowers to find the number of days. Or half the number of days is the number of flowers. So, in 32 days there are 16 flowers.
F + H ARE WRONG
HELP ME JIM!
Answers
===========================================
Reason H is "linear pair postulate" which says that if two angles form a linear pair then they are considered supplementary. This is simply what "supplementary" means. The two angles add to 180 degrees. A "linear pair" is where you have two angles that are adjacent and the angles combine to form a straight angle (180 degrees).
===========================================
Side note: It seems like some of this proof has been cut off. There should be more lines to this proof because the last line is always what you want to prove. In this case, the thing we want to prove is "angle DEC and angle BEC are right angles" so that should be the last statement.
Take a look at the figure. What are the coordinates of the point labeled B in the graph shown?
A. (3, 2)
B. (–3, 2)
C. (–2, 3)
D. (–2, –3)
Answers
How to solve this???
Answers
Perform the indicated operation. (2x + y)(3x^2 + y)
Answers
Answer:
[tex](2x+y)(3x^2+y)=6x^3+3x^2y+2xy+y^2)[/tex]
Step-by-step explanation:
The given expression is [tex](2x+y)(3x^2+y)[/tex].
We expand the parenthesis using the distributive property to obtain;
[tex](2x+y)(3x^2+y)=2x(3x^2+y)+y(3x^2+y)[/tex]
We expand further to get;
[tex](2x+y)(3x^2+y)=6x^3+2xy+3x^2y+y^2)[/tex]
This gives us;
[tex](2x+y)(3x^2+y)=6x^3+3x^2y+2xy+y^2)[/tex]
The side of a square is 12 feet. What is the area of the square?
a.12 sq. ft.
b.24 sq. ft.
c.48 sq. ft.
d.144 sq. ft.
Answers
Area of the square = 12 x 12
Area of the square = 144 sq ft (Answer D)
---TF---
Scoring a hole-in-one is the greatest shot a golfer can make. once 7 professional golfers each made holes-in-one on the 8th hole at the same golf course at the same tournament. it has been found that the estimated probability of making a hole-in-one is 12287for male professionals. suppose that a sample of 7 professional male golfers is randomly selected. what is the probability that they all score a hole in one
Answers
In a recent year 36% of all college students were enrolled part time. If 6.2 million college students were enrolled part time that year what was the total number of college students. Round to the nearest million
Answers
1% equals 6,200,000/36, and
100% equals 6,200,000/36*100 = 16,315,789
Hence, there were about 16,000,000 (sixteen million) students.
To find the total number of college students, we solve a proportion equation using the given 36% for part-time students and 6.2 million part-time students to find a total of approximately 17 million students.
Explanation:This problem can be addressed with a simple proportion equation. We know that 36% (or 0.36 in decimal form) of all enrolled college students equals 6.2 million. So, if we let X be the total number of college students, the equation becomes 0.36X = 6.2 million.
To solve for X, we divide both sides of the equation by 0.36 and hence, X=6.2 million / 0.36. After doing the calculation, we get approximately 17.22 million. Since the question asks us to round to the nearest million, our final answer is approximately 17 million total college students.
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What happens to the maximum point of f(x) = -2x2 + 3x + 1, when the function is changed to f(x) = -2x2 + 9x + 1?
A) it shifts up and left
B) it shifts up and right
C) it shifts down and left
D) it shifts down and right
Answers
One way to do this problem, is to identify the vertex. Since it is a parabola that opens downward, the maximum point is the vertex.
Using the expression: -b/2a, you can find the x-coordinate for the vertex.
Then, input that value into the function to find the y-coordinate for the vertex.
For the first equation, you will get (0.75, 2.125) for the vertex.
For the second equation, you will get (2.25, 11.125) for the vertex.
By comparing these points, you see that the vertex shifts up and to the right.
Option B is correct.
I hope this helps, Good luck!
Answer: B
Step-by-step explanation: I did the usa test prep
Find the Value of X.
3
8
4
6
Answers
You should take that difference and compare If to the size of the wheel left side, 6.
The difference should be equivalent for the other sides as well.
1:6 2:?
1:1 =2:12
2x+ 4 = 12
2x = 8
X=4
FULL ANSWERS WITH EVERY STEP PLEASE (10 pts)
for the functions f(x)=3x-6\sqrt(x)+6, and g(x)=7x-12-(4)/(x) find
1- where (f*g)(x) is differentiable
2- where ((f)/(g))(x) differentiable
Answers
=======
(f(g))x = 3(7x - 12 + 4/x) - 6sqrt(7x - 12 + 4/x ) + 6 Here I have put g(x) into f(x)
Now you want to differentiate this thing. As much as you can remove the brackets.
21x - 36 + 12/x - 6*sqrt(7x - 12 + 4/x) + 6
Now differentiate.
f(g(x))' = 12 - 12/x^2 + 6 (7 - 4/x^2) / sqrt (7x - 12 + 4/x)
How come there is now a plus in front of the 6?
Part Two
=======
I can find no interpretation for the second part other than the obvious. It's been 57 years since I was in a classroom as a student, and any special interpretation to these questions was not discussed.
I take it to mean F(x) / G(x) and then differentiated. If that is not correct, then someone else will have to answer for you. Sorry.
So the question will look like this.
y = [3x - 6(x)^(1/2) + 6] / [7x - 12 - 4/x]
The quotient rule for f(x)/g(x) = [f ' * g - f * g' ] / g^2
So you need to differentiate f to f ' and g to g'
f ' = 2 + 6/2(x ^ (-1/2 ))
g' = 7 + 4/x^2
Now you can put them in for f and g and f ' and g' to get the answer. It's a lot of typing. Be careful how you put this in. Correct any typos before you send it.
The domain in any question is any value for x except x = 0
Trig question how do I find m
Answers
Angle E = 26.565 Degrees
Kim had 160 cards in a box.She gave 4/10 of the cards to maddy.How many cards did Kim have left in the box
Answers
[tex]\text {Cards gave to Maddy = } \dfrac{4}{10} \times 160 = 64 [/tex]
[tex]\text {Cards left = } 160 - 64 = 96 [/tex]
------------------------------------
Answer: Cards left = 96
------------------------------------
What is the slope of the line that passes through (3, -4) and (-2, 5). A)-5/9 B)-9/5 C)9/5 D)5/9
Answers
Call (3,-4) one point
Call (-2,5) the second point.
m = (5- -4) / (-2 - 3)
m = 9/-5 = - 9 / 5
B<<<< answer
HELPPPPPPPP AND EXPLAIN
Answers
29)
what is "c", namely one of those x-values where it touches? look at the graph, it hits at 0.5, 1, 2, 3, pick your poison.
30)
how many? well, you already know.
3. Which of the following is a solution to the equation 16= 4x-4?
a.-5
b.-4
c.5
d.16
please help. I'll give a medal + fan I wanna know how
Answers
4x-4=16
taking (-4) to opposite side,
since it has (-) sign , it becomes (+) when we take it to the opposite side
now the equation becomes
4x=16+4
i.e.
4x=20
now, we take 4 to the opposite side
the equation becomes
x=20/4
i.e. x=5
so the answer is
c.5
What is 4.738rounded to the nearest thousandth? (Points : 1) 4.73 4.74 4.738 4.739
Answers
4.738 rounded to the nearest thousandth remains 4.738, as it is already at the required decimal precision.
To round to the nearest thousandth, you look at the digit in the thousandth place, which in this case is an 8. You do not need to alter the number since it is already at the thousandth decimal place. Therefore, 4.738 rounded to the nearest thousandth is simply 4.738.
A ship is 2.8 degree off course .If the ship is traveling at 14.0 miles per hour,how far off course will it be after 2 hours?
Answers
2. A cake in the shape of a circus tent is used as a centerpiece at a celebration. The cake consists of a cylinder and a cone. The cylinder has a diameter of 12 inches and a height of 14 inches. The cone has a height of 6 inches. What is the volume of the cake? Round your answer to the nearest tenth of a cubic inch. Use 3.14 to approximate pi.
Answers
Hope this helped!
the answer is 1808.64
Hope i helped <33
A cone with a radius of 12 cm and a height of 12 cm has the same volume as a cylinder with a radius of 8 cm. What is the height of the cylinder?
A) 3 cm
B) 6 cm
C) 9 cm
D) 12 cm
Answers
Answer:
The correct option is C. The height of the cylinder is 9 cm.
Step-by-step explanation:
The radius of cone is 12 cm and the height of cone is 12 cm.
The volume of cone is
[tex]V=\frac{1}{3}\pi r^2h[/tex]
[tex]V_1=\frac{1}{3}\pi (12)^2(12)[/tex]
[tex]V_1=576\pi[/tex]
The radius of cylinder is 8 cm. The volume of cylinder is
[tex]V=\pi r^2h[/tex]
[tex]V_2=\pi (8)^2h[/tex]
[tex]V_2=64\pi h[/tex]
It is given that the volume of cone and cylinder is same.
[tex]V_1=V_2[/tex]
[tex]576\pi=64\pi h[/tex]
[tex]\frac{576\pi}{64\pi}=h[/tex]
[tex]9=h[/tex]
Therefore the height of the cylinder is 9 cm and option C is correct.
To find the height of the cylinder that has the same volume as a cone, we can compare their volumes. By setting the volumes equal to each other and simplifying the equation, we find that the height of the cylinder is 9 cm.
Explanation:To find the height of the cylinder, we need to compare the volumes of the cone and the cylinder. The formula for the volume of a cone is V = (1/3)πr^2h, where r is the radius and h is the height. The volume of the cone with radius 12 cm and height 12 cm is (1/3)π(12^2)(12) = 576π cm³. Now, let's calculate the volume of the cylinder using the formula V = πr^2h, with radius 8 cm. We know that the volumes of the cone and the cylinder are equal, so 576π = π(8^2)h. Simplifying this equation, we get 576π = 64πh. Dividing both sides of the equation by 64π, we find h = 9 cm. Therefore, the height of the cylinder is 9 cm.
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M is the midpoint of PQ, N is the midpoint of MQ, and L is the midpoint of MN. If MN =14, find ML.
Answers
Please mark Brainliest! Lemme know if I can help you with anything else!
-Belle
Distance LN = 6
Distance MQ = 6 X 2
=12 (Remember N is the midpoint of MQ)
Distance MQ = Distance PM = 12units
Hope this helps.