Answers
Problem 1
With mean = median, the data set is symmetrical. Well it's more accurate to say "roughly symmetrical" due to the phrasing "mean is approximately equal to the median". Using the median as its center is fairly common with many distributions, so there isn't an issue here.
The error is from the phrasing "the quartiles should be used to measure the spread". The quartiles themselves don't measure spread. They are simply single data points and do not tell us the spread. If Ralph said Q3 = 75 is a measure of spread, then he would be incorrect. However, the difference between the third and first quartile will help get the IQR (interquartile range), as described by this equation below
IQR = Q3 - Q1
and this is one tool to measure how spread out data is. The larger the IQR is, the more spread out the data will be.
The IQR is how far of a gap it is from Q1 to Q3. Another tool to measure spread is the standard deviation. Ralph was probably thinking about the IQR when he mentioned the quartiles, but he should be more specific about what he means.
=======================================================
Problem 2
Answer: Skewed left
This is the same as saying "negatively skewed"
---------------
Explanation:
The main cluster of values is on the right side, while a small portion of values are to the left. We consider this the left tail and the left tail is pulled longer compared to the right tail. The further left we go, the shorter the bar and eventually we hit outliers. These much smaller outliers compared to the main cluster pull on the mean to make it smaller than it should be.
One example could be that this curve represents test scores. The majority of the class could get in the range of say 70 to 90. Then there's the unfortunate few outliers who scored much lower (possibly 40 through 60); those outlier scores pull down the mean grade of the class overall.
In short, negatively skewed data indicates that mean < median.
Related Questions
The graph of a quadratic equation in two variables whose axis of symmetry is parallel to the y axis is a parabola.
Select one:
True
False
Answers
Answer:
The correct option is;
False
Step-by-step explanation:
The equation of the graphs of conic sections (all of which can have axis of symmetry that can be oriented parallel to the y-axis) includes;
Circle; (x - h)² + (y - k)² = r²
Parabola; y = a·(x - h)² + k
[tex]Ellipse; \dfrac{(x - h)^2}{a^2} + \dfrac{(y - k)^2}{b^2} = 1[/tex]
[tex]Hyperbola; \dfrac{(x - h)^2}{a^2} + \dfrac{(y - k)^2}{b^2} = 1[/tex]
The graph of a quadratic equation in two variables whose axis of symmetry is parallel to the y-axis can be either a circle, a parabola, an ellipse, or an hyperbola
Therefore, the graph may not be the graph of a parabola and the statement is false
Answer:
The correct answer is True
Step-by-step explanation:
I took the quiz and got it right.
Without looking, Luke picks necklace beads from a bag of 52 beads. Half the beads are rough. The other half are smooth. There are 13 red beads, 13 blue beads, 13 green beads, and 13 black beads.
What is the theoretical probability of selecting a rough bead? Write the probability as a fraction in simplest form.
Answers
Answer:
i
Step-by-step explanation:
Answer:
1/2
Step-by-step explanation:
26/52 simplifies to 1/2
Lucas is planting grass on the shaded portions of the yard. What will be the total area covered by grass?
Answers
Complete Question:
Lucas is planting grass on the shaded portions of the yard. What will be the total area of covered by grass? Fill in the missing.
Part A= 12 x ? = ? ft²
Part B= 0.5 x ? x 9 = ?ft²
Part C= 0.5 x 7 x ? = ?ft²
Total Area= ?ft²
Answer:
[tex]A = 108ft^2[/tex]
[tex]B = 27ft^2[/tex]
[tex]C = 24.5ft^2[/tex]
[tex]Area = 159.50ft^2[/tex]
Step-by-step explanation:
Given
See attachment
From the attachment;
Part A is a rectangle with dimension 9ft by 12ft
So,
[tex]A = 12ft * 9ft[/tex]
[tex]A = 108ft^2[/tex]
Part B is a triangle with dimension: height = 6 and base = 9
The height is calculated as:
[tex]Height = 12ft - 6ft = 6ft[/tex]
And the base is:
[tex]Base = 18ft - 9ft = 9ft[/tex]
So, the area is:
[tex]B = 0.5 * 6ft * 9ft[/tex]
[tex]B = 27ft^2[/tex]
Part C is a triangle with dimension: height = 7 and base = 7
So, the area is:
[tex]C = 0.5 * 7 * 7ft^2[/tex]
[tex]C = 24.5ft^2[/tex]
Total Area is:
[tex]Area = A + B + C[/tex]
[tex]Area = 108ft^2 + 27ft^2 + 24.5ft^2[/tex]
[tex]Area = 159.50ft^2[/tex]
Tyrone jogged 5 miles along the fitness trail. How many feet did he jog? How many inches did he jog?
Answers
Answer: Tyrone is body built so you can assume he takes very big steps so i'll say about 69 inches
Step-by-step explanation: The math is common sense
Find the slope of the line
Answers
Answer:
the answer is 0
Step-by-step explanation:
[4 ×{ 3 - ( 2- 1/3 )}]
Answers
Answer: 16/3
1. Simplify 2 - 1/3 to 5/3.
4(3- 5/3)
2. Simplify 3 - 5/3 to 4/3.
4 • 4/3
3. Use this rule: a • b/c = ab/c.
4 • 4/ 3
4. Simplify 4 • 4 to 16.
16/3
Olivia invested $1000 in an account that pays 2.75% interest
compounded annually. Assuming no deposits or withdrawals are
made, find how much money Olivia would have in the account 13 years
after her initial investment. Round to the nearest tenth (if necessary).
Answers
Answer:
$1,422.87
Step-by-step explanation:
Answer: 1422.9
Step-by-step explanation:
1 A can in the shape of a cylinder has a diameter of 6 centimeters and a height of 10
centimeters. Which measurement is closest to the total surface area of the can in
square centimeters?
Answers
Answer:
radius r = 3 cm
height h = 10 cm
volume V = 282.743339 cm^3
lateral surface area L = 188.495559 cm^2
top surface area T = 28.2743339 cm^2
base surface area B = 28.2743339 cm^2
total surface area A = 245.044227 cm^2
In Terms of Pi π
volume V = 90 π cm3
lateral surface area L = 60 π cm^2
top surface area T = 9 π cm^2
base surface area B = 9 π cm^2
total surface area A = 78 π cm^2
Step-by-step explanation:
Cylinder Formulas in terms of r and h:
Calculate volume of a cylinder:
V = πr2h
Calculate the lateral surface area of a cylinder (just the curved outside)**:
L = 2πrh
Calculate the top and bottom surface area of a cylinder (2 circles):
T = B = πr2
Total surface area of a closed cylinder is:
A = L + T + B = 2πrh + 2(πr2) = 2πr(h+r)
Agenda: r = radius
h = height
V = volume
L = lateral surface area
T = top surface area
B = base surface area
A = total surface area
π = pi = 3.1415926535898
√ = square root
The value of Surface Area of the cylinder is 245.04 cm².
What is Surface Area of a shape ?Surface area is the amount of space covering the outside of a three-dimensional shape.
It is given that the cylinder has
radius r = 3 cm
height h = 10 cm
volume V of the cylinder = πr²h = 282.74 cm³
the lateral surface area of a cylinder
L = 2πrh
lateral surface area L = 188.495559 cm²
the top and bottom surface area of a cylinder (2 circles):
T = B = πr²
top surface area T = 28.2743339 cm²
base surface area B = 28.2743339 cm²
Total surface area of a closed cylinder is:
A = L + T + B = 2πrh + 2(πr2) = 2πr(h+r)
total surface area A = 245.044227 cm²
total surface area A = 78 π cm²
Therefore the value of Surface Area of the cylinder is 245.04 cm².
To know more about Surface Area
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What are two absolute value expressions that are equivalent to |7+9|.
Answers
You did not give is choices to choose from.
|7 + 9| is the same as |-7 - 9|.
|16| is the we same as |-16|.
Which is the area of the rectangle?
Answers
What is the value of x4+0.5y3when x=2 and y=4?
Answers
Answer:
14
Step-by-step explanation:
Whoever solves this correctly will get the brainiest
Answers
Answer:
43
Step-by-step explanation:
What number should go into the blank so that the two expressions are equivalent to each other?
4(4b + 17c) = __b + 68c
Answers
because solve the first expression
4(4b+17c)
=16b + 68c
133 is a whole number. true or false
Answers
Answer:true
Step-by-step explanation:
PLEASE HELP ME!!!! HOW DO I GRAPH THIS??????
Answers
Answer:
draw the picture then put a box around it and label the body parts and that fun stuff
Victor tossed a paper cup 40 times and recorded how the cup landed each time. He organized the results in the table shown.
Outcome
Frequency
Right-side up
12
Upside down
7
On its side
21
Which statement is best supported by the results on the table, if Victor tosses the paper cup 100 times?
Less than 30 cups will land on either right-side up or upside down.
More than 50 cups will land on its side.
Less than 30 cups will not land on right-side up.
More than 50 cups will land on upside down.
Answers
Answer:
More than 50 cups will land on its side.
Use distributive property to remove the parenthesis for:
(1-y+x)(-6)
Answers
there ya go can u please give me brainliest
Answer:
Step-by-step explanation:
Multiply -6 to the first bracket so it would be
-6+6y-6x This is the answer
Bill is in a class of 23 girls and 27 boys. 40% of the students in the class take the bus to school. How many students take the bus to school?
A. 15
B. 20
C. 30
D. 35
Answers
Answer: 20 students
Step-by-step explanation: 20 students who take the bus to school. Therefore thirty students do not take the bus to school.
12. 14.5% of 90 is n. The value of n is 15.
Answers
Answer:14.5% of 19 is 13.05, so the value of n would actually be 13.05
Plz I need this question quick! I don't understand it.
Find the area of the figure.
Answers
how do i find the probability of getting a red 5 or a 6 when one card is randomly selected from an ordinary deck?
Answers
Answer:
2 in 52 simplified- 1 in 26
Step-by-step explanation:
Help me please I give brainliest and be serious
Answers
Answer:
y=120
Step-by-step explanation:
y=0.75x-0.15x
x=200
y=0.75x200-0.15x200
y=150-30
y=120
I hope this helps :D
Solve for c.
a = 11 + 4b – 4c
Answers
Answer:
c would be equal to 2948. hope that helps
Answer:
[tex]c=b-\frac{a}{4} +\frac{11}{4}[/tex]
Step-by-step explanation:
[tex]a=11+4b-4c \\a-11=4b-4c\\a-11-4b=-4c\\-\frac{a}{4} +\frac{11}{4} +b=c[/tex]
Rearranging the terms to make it look cleaner, we get:
[tex]c=b-\frac{a}{4} +\frac{11}{4}[/tex]
HELP please my friend needs help with his MATH homework, see picture for problem TY :)
Answers
Plug in values into your formula
SA = 2•pi•r^2 + 2•pi•r•h
SA = 2•pi•3^2 +2•pi•3•8
Height (h) = 8in.
Radius (r) = 3 (diameter divided by 2)
Diameter = 6
SA = 2πr^2 + 2πrh
Where SA means surface area, r stands for radius, and h stands for height.
First find the radius. The radius of a circle is the distance from the outside of the circle to its center. It is half the diameter. To find the radius, divide the diameter by two.
r = 6/2
r = 3 inches
Now plug in the values for radius and height into your formula. Use pi = 3.14
SA = 2(3.14)r^2 + 2(3.14)rh
SA = 2(3.14)(3)^2 + 2(3.14)(3)(8)
SA = 6.28(9) + 6.28(24)
SA = 56.52 + 150.72
SA = 207.24 inches
What is the equation of the blue line?
Answers
Answer:
y = (1/2)x + 2
Step-by-step explanation:
it is a straight line so it will be in the form of y = mx + c
m = gradient, c = y intercept
Reading from graph it cuts the y-axis at 2,
so c = 2
to find gradient we can pick any 2 points on the line,
e.g (0,2) and (10,7)
gradient = (y1 - y2) / (x1 - x2) = (7 - 2) / (10 - 0)
= 1/2
so the equation is y = (1/2)x + 2
Using slope intercept formula, the equation of the blue line
y = (1/2)x + 2.
What is slope intercept?The slope intercept form is one of the form to represent" equation of the straight iine".
According to the question,
The graph intercept the y-axis at 2.
Slope intercept formula, y = mx + c where m = slope of the line, c = y- intercept of the line, x, y as variable.
From given, y-intercept, c = 2.
To find slope of the line take any two points on the line (0,2) and (10,7).
Formula to find slope of the line m = (y₁ -y₂)/(x₁ - x₂).
m = (2-7)/(0-10)= [tex]\frac{1}{2}[/tex]
Hence, the equation of the blue line y = (1/2)x + 2.
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help me please, please
Answers
——————-
-27 x -32
31104/864
=36
Help need to know the cross section shape
Answers
Answer:
Step-by-step explanation:
Rectangle
Help me find m angle k
Answers
Answer:
angle k is equal to 58 and angle is equal to 60
Fernando has 22 coins consisting of nickels and dimes in his pocket,
The total value of the coins is $1.70
which system of equations can be used to determine the number of
nickels, n, and the number of dimes, d, in his pocket? ANSWER CHOICES IS IN THE PICTURE
Answers
Answer:
the lat one should be the right answer
Step-by-step explanation:
The equation that can be used to represent the situation will be:
0.05n + 0.10d = 1.70n + d = 22Let the number of nickels be represented by n.
Let the number of dimes be represented by d
Therefore, since Fernando has 22 coins consisting of nickels and dimes in his pocket and the total value of the coins is $1.70.
The equation that can be used to represent the situation will be:
0.05n + 0.10d = 1.70
n + d = 22
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After a discount of 30%, the sale price of a ticket to Cedar Point is $35. What is the original
price? Show your work
Answers
Answer: 116.67
Step-by-step explanation:
30/100 * x = 35
3/10 * x = 35
3x = 350
x = 116.67