What is always true about the interquartile range of a data set? Select all that apply.
A.
The interquartile range is greater than the range.
B.
The interquartile range contains the median of the data set.
C.
The interquartile range is less than the range.
D.
The interquartile range contains about 50% of the data set.
The interquartile range is.....
Answers
Interquartile range: 13
Step-by-step explanation:
Interquartile range = Q3 - Q1
Interquartile range = 10 - -3
Fact: 2 negative signs TOGETHER equals addition.
Interquartile range = 13
Answer:
Our goal is to understand how range and interquartile range describe data. To do this, we have to define the range and interquartile range of a given set of data, we have to be able to calculate the range and interquartile a range of a given set of data, and then we want to be able to determine how range and interquartile range are impacted by outliers.
So how can you describe data with range and interquartile range? Range tells us if data is grouped closely together or spread far apart. Interquartile range tells us if data is grouped closely around the median. The key concepts. Range is the difference of the maximum and minimum values.
So if we wanted to calculate the range of this particular data set here, we would say 20 minus 1 and get a range of 19. Interquartile range is the difference of the upper and lower quartiles. In order to do this, we first have to find the median to find those upper and lower quartiles. The median of this data set, the value in the middle, is 6. The lower quartile is the median of the lower half, the middle value then of these three data points being 3.
The upper quartile would be the middle of this data set, and that would be 8. So if we wanted to find the interquartile range, we'd subtract those values. 8 minus 3 gives us an interquartile range of 5. Interquartile range describes the spread of data around the median.
A small interquartile range means that most of the data, the middle half, is clustered tightly around the median, whereas a large interquartile range would mean that that data that's in the middle is more spread out. And finally, outliers impact the range, but have little impact on the interquartile range. If we consider our data set here, we see that we have an outlier of 20, but it really only impacts the range.
It does not play a significant role on the interquartile range.
Step-by-step explanation: also brainleist
Hence your answer will be D
Related Questions
The moon orbits earth at 384400km. The distance from earth to the sun is 149600000km. The diamiter of the sun is 1391000km. What would the diamiter of earth have to be to appear the same size as the sun from the moon if the celestial objects are in the order shown here : Sun, earth, moon.
Answers
Answer:
The diameter of Earth that would appear the same size as the Sun from the Moon is approximately 54304839.858 kilometers
Step-by-step explanation:
To find the diameter of Earth that would appear the same size as the Sun from the Moon, we need to know the distance from the Moon to the Sun and the distance from the Moon to Earth.
Since the distance from the Moon to the Sun is much greater than the distance from the Moon to Earth, the angle subtended by the Sun at the Moon will be much smaller than the angle subtended by Earth at the Moon.
Therefore, the size of Earth as seen from the Moon will be much larger than the size of the Sun as seen from the Moon.
To find the ratio of the size of Earth to the size of the Sun as seen from the Moon, we can use the formula:
size ratio = (distance to Earth / distance to Sun) x (Sun's diameter / Earth's diameter)
Substituting in the given values, we get:
size ratio = (384400km / 149600000km) x (1391000km / Earth's diameter)
Simplifying, we get:
size ratio = 0.00257 x (1391000km / Earth's diameter)
To find the diameter of Earth that would appear the same size as the Sun from the Moon, we need to solve for Earth's diameter. Dividing both sides of the equation by 0.00257, we get:
Earth's diameter = (1391000km / 0.00257) = 54304839.858km
Therefore, the diameter of Earth that would appear the same size as the Sun from the Moon is approximately 54304839.858 kilometers.
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The cheerleader section is on the basketball court. Each row requires a section of floor that is 1 ¾ yards by 3 ⅓ yards. How many square yards of floor space are taken up by one row of cheerleaders? Help!
Answers
Answer:
The area of the floor space is equal to 5.83 sq yards.
Step-by-step explanation:
Given that,
Each row requires a section of floor that is 1 ¾ yards by 3 ⅓ yards.
We need to find how many square yards of floor space are taken up by one row of cheerleaders.
We know that, the area of a rectangle is given by :
A = lb
So,
[tex]A=\dfrac{7}{4}\times \dfrac{10}{3}\\\\A=5.83\ yards^2[/tex]
So, the area of the floor space is equal to 5.83 sq yards.
triangle ABC has a perimeter 22cm
AB=8cm
BC=5cm
by calculation, deduce whether ABC is a right angle triangle?
Answers
22 = 8 + AC + 5
AC = 9
from phitagoras rule it states that
if ABC is a right angle then
9^2 = 8^2 + 5^2
81≠89
so its not right angelic
Find the equation of the line.
Answers
Answer:
[tex]y=\frac{9}{10}x-\frac{7}{5}[/tex]
Step-by-step explanation:
Using the points [tex](-4,-5)[/tex] and [tex](6,4)[/tex], the slope is [tex]m=\frac{-5-4}{-4-6}=\frac{9}{10}[/tex].
Using point-slope form:
[tex]y+5=\frac{9}{10}(x+4) \\ \\ y+5=\frac{9}{10}x+\frac{18}{5} \\ \\ y=\frac{9}{10}x-\frac{7}{5}[/tex]
question is in the photo, please provide explanation as well
Answers
first we have to multiply the -3 through the parenthesis, get in -3x+9, then distribute 5 through the parenthesis, get in 5-5x
then you have to collect like terms, get in -3x+5x<5-9, it gives 2x<-4
then divide 2 in both sides, and you get the answer B
i have a question can yall help me
Answers
Answer:
yeah what is it
Step-by-step explanation:
We'll try our level best to help u ...
Which expression represents these words?
7 more than the product of 9 and 8
Answers
Answer:
7 + (9 * 8)
Step-by-step explanation:
You don't need parenthesis unless it helps you understand.
The expression is represent as 7 + (9 x 8).
Here,
The condition is given as,
The expression is 7 more than the product of 9 and 8.
How to write an expression?
We write an expression by using numbers or variables and mathematical operators which are addition, subtraction, multiplication and division.
Now,
Product of 9 and 8 is written as 9 x 8.
Hence, 7 more than the product of 9 and 8 is written as;
⇒ 7 + (9 x 8)
The expression is represent as 7 + (9 x 8).
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What is the solution to the system of equations?
Answers
Answer:
(2,5)
Step-by-step explanation:
First, we notice that
y = -x + 7
y = 2x + 1
Next, since both -x + 7 and 2x + 1 are equal to y, than by that logic it means
-x+7 = 2x+ 1
Add x to both sides
7 = 3x+1
Subtract 1 from both sides
6 = 3x
x = 2
Now that we solved x, let's plug x = 2 into either -x+7 or 2x + 1. Either way, both will have the same answer.
y = -x + 7
y = -(2) +7
y = 5
Therefore, the answer is
x= 2
y = 5
(2,5)
A restaurant manager believes that a majority of customers who dine at his restaurant would rate the food as excellent. To investigate this belief, he sends an email survey to a random sample of 50 customers from the large list of customers who have signed up for his frequent diner club. To encourage the customers to complete the survey, he offers a $10 gift card upon completion of the survey. He receives 22 responses, of which 20 rated the food as excellent. He would like to know if these data provide convincing evidence that more than 50% of customers who dine at his restaurant would rate the food as excellent. Are the conditions for inference met
Answers
The conditions for inference are: The customers who are surveyed are chosen independently at random, so we can assume that the survey results are independent.
What do you mean by normalcy?The amount of grams or mole equivalents of solute present in a solution that contains one liter is what is referred to as normalcy according to the accepted definition. The amount of moles of reactive units in a compound is what we mean when we say it is equal.
Sample size: The manager is surveying 50 customers, which is a moderate-sized sample.Normality: Since the manager is only looking at the proportion of customers who rated the food as excellent, we can assume that the data are approximately normally distributed.Randomness: The manager is using a random sample from the list of customers who have signed up for his frequent diner club, so we can assume that the sample is random.The conditions for inference are met.
However, to conclude that more than 50% of customers who dine at his restaurant would rate the food as excellent, we need to conduct a statistical test such as a one-sample proportion test or a confidence interval. The manager would need to compare the proportion of the customers who rated the food as excellent from the survey with the proportion of customers who would rate the food as excellent. This would allow to see if the data provides convincing evidence that more than 50% of customers who dine at his restaurant would rate the food as excellent.
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An online bookstore sells novels and magazines. Each novel sells for $5, and each magazine sells for $1. If Michelle purchased a total of 15 novels and magazines that have a combined selling price of $43, how many novels did she purchase?
She purchased __________.
(have to solve this using system of equations)
Answers
Answer:
Novels=7
Step-by-step explanation:
M + N = 15 equation 1
1M + 5N=43 equation 2
-M-N=-15 multiply equation 1 by -1
0 + 4N =28 add above 2 equations
N=7
check answer:
‘First, Solve for M
M+N=15
M+7=15
M=8
Then substitute values of M &N to check answers
M+5N=43
(8)+5(7)=43
8+35=43
43=43
someone please help, solve for X
Answers
Answer:
tan70 = x/6 ---> x = 6tan76 = 24.1
can someone please help ( check link for question )
Answers
Hence, The equation of the line is y=5x/3-3
What is the slope-intercept form of a line?The slope-intercept form of a line is represented by y=mx+c where m=slope and c is the y-intercept of the line
Given here: The line 3x+5y=15 , Rearranging in the slope intercept form we get y=-3x/5+3 and thus slope of the line that is perpendicular to this line must be equal to 5/3 and it passes through (3,2) then we get the equation of the line as y=5x/3+c and putting (3,2) in the equation we get the value of c as c=-3
∴ The equation of the line is y=5x/3-3
Hence, The equation of the line is y=5x/3-3
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Find P (Senior Girl) Hint: P(A and B)
P(B)
Classroom of Students
Boys Girls
Freshman 4 48
Sophomore 5 7 12
Junior 2
35
Senior 1
4 5
12 18
Reduce your fraction to lowest terms.
Enter the number that belongs in the green box.
Answers
Answer:
2/9
Step-by-step explanation:
senior girls/girls = 4/18 = 2/9
Answer:
2/9
Step-by-step explanation:
what is the next operation that should be done when evaluating this expression?
9-12+-2+3(-3)
a) 3(-3)=-9
b)-2+3=1
and if you dont mind showing how you did it so i can learn it thanks!
Answers
The next operation that should be done when evaluating this expression 9-12+-2+3(-3) is A. 3(-3)=-9
How to calculate the expression?An expression is simply used to show the relationship between the variables that are provided or the data given regarding an information. In this case, it is vital to note that they have at least two terms which have to be related by through an operator. Some of the mathematical operations that are illustrated in this case include addition, subtraction, etc.
In this case, it should be noted that the expression given is written as 9-12+-2+3(-3). In PEDMAS, the first operation is parentheses. Therefore, the number on parentheses will be solved first.
In this case, the number in parentheses will be 3(-3). Therefore, the correct option is A.
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If the number 4 is placed at the right end of a two-digit number BC, the value of the three-digit number thus formed is 247 more than BC. What is the original two-digit number BC?
Answers
Answer:
Thus, 40 ÷ 4 = 10 more tables are needed in between the two end tables. ... Let's list all 4 × 3 = 12 possible two-digit numbers that can be made from the four digits ... There are 3 ways to place a 4 and a 1 next to each other; as the first two digits, the middle ... Suppose we extend sides AD and BC to intersect at E, as shown.
Step-by-step explanation:
HELPPPPPP PLEASEeeeeeeeeeeeeee
Answers
Answer:
1/2
Step-by-step explanation:
-3x+5x-2>-4x+1
first, you will combine like terms. -3x+5x=2x.
2x-2>-4x+1
you need to move the variable to one side. So you will add 4x on both sides.
6x-2>1
You need to add 2.
6x>3.
Now you will divide both sides by 6 to get x by itself.
x> .5 or 1/2
pls barinliest
Find the greatest common factor of $144$ and $405$.
Answers
Answer:
Step-by-step explanation:
Find the prime factorization of 144
144 = 2 × 2 × 2 × 2 × 3 × 3
Find the prime factorization of 405
405 = 3 × 3 × 3 × 3 × 5
To find the GCF, multiply all the prime factors common to both numbers:
Therefore, GCF = 3 × 3
Answer = 9
Find a basis for the eigenspace corresponding to the eigenvalue. 2-6 Al La 2 = 11 9 A basis for the eigenspace corresponding to a = 11 is a (Type a vector or list of vectors. Type an integer or simplified fraction for each matrix element. Use a comma to separate answers as needed) Find a basis for the eigenspace corresponding to the eigenvalue of A given below. A= 3 02 0 4,2 = 2 2 -3 3 A basis for the eigenspace corresponding to a = 2 is O. (Use a comma to separate answers as needed.)
Answers
A basis for the eigenspace corresponding to a = 11 is (1, -2, 0) and a basis for the eigenspace corresponding to a = 2 is (0,1,1).
An eigenspace is the set of all vectors that are multiplied by a matrix and remain unchanged. In this case, the eigenspace is the set of all vectors that when multiplied by the matrix A will result in a vector with a scalar multiple of the eigenvalue. The eigenvalue is found by solving the characteristic equation, which is the determinant of the matrix minus the eigenvalue multiplied by the identity matrix.
For the matrix A, the eigenvalues are 11 and 2. The corresponding eigenspace for each eigenvalue is then found by solving the homogeneous system of equations. For a = 11, the solution to the system is (1, -2, 0) and for a = 2, the solution is (0,1,1). Both of these vectors form a basis for the corresponding eigenspaces.
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The sum of three
consecutive even
numbers is 90. What is the smallest of
these numbers?
Answers
Answer:
The smallest even number is 28.
Please help me on this
Answers
Answer:
A) 226.9
Step-by-step explanation:
tan80=x/40
write the equation of a line passing (5,6) and (4,3) in slope-intersept
Answers
Step-by-step explanation:
[tex]gradient = \frac{(3 - 6)}{(4 - 5)} \\ = 3 \\ y = mx + c \\ consinder \: (4, \: 3) \\ 3 = (3 \times 4) + c \\ c = - 9 \\ y = mx + c \\ y = 3x - 9[/tex]
Please help ASAP!
Write the recurring decimal 0.123 (1 and 3 being the repeated) as a fraction
Answers
15 points, I will give the brain award thing if u answer correctly. A triangle has sides with lengths of 2x - 9 ,5x - 3 and 2x -2. What is the perimeter of the triangle?
Answers
Is the second side “WY and ZY” or the other way around?
Answers
Answer:
yes it's wy =zy you may write it
PLEASE HELP!! WILL GIVE BRAINLIEST
What is the y-intercept of the line that goes through the points (5, -8) and (9, -12)
Answers
Answer:
-3
Step-by-step explanation:
Given the points, we can see that as x increases by 4, y decreases by 4, which means the slope is -1. Working backwards from (5, -8), we can decrease x by 5 (and thus increase y by 5, since we're subtracting a negative) and add that to -8 to find the y-intercept = -3
A rectangular garden is divided into four sections. Some dimensions are shown in the diagram, and the distance from point A to C is 16ft. What is the distance from point A to B?
A. 8ft
B. 7ft
C. 9ft
D. 6ft
Answers
A large univerity accept60 % of the tudent who apply. Of the tudent the univerity accept,45 % actually enroll. If 10000
tudent apply, how many actually enroll?
Answers
The university accepts 6000 students out of the 10000 that applied.
What is enrolled?Enrolled, in the context of education, is the process of registering a student with a school. The process typically requires a student to complete an application form and submit it to the school, along with any other required documents or fees. Once the student has been accepted and enrolled, they will be given a student ID number and will be able to access all the school's resources, such as classes and activities. In addition, the school may assign an advisor to the student to help them adjust to the school and plan out their academic path.
Of those 6000 accepted students, 45% will actually enroll, which is 2700 students. Therefore, of the 10000 students that applied, 2700 will actually enroll into the university.
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(2, -4) and (-3, -3) write the linear equation in slope intercept form given the following
Answers
Answer:
y = -1/5x - 3.6
Step-by-step explanation:
(2, -4) and (-3, -3)
m = -3+4/ -3-2
m = 1/-5
m = -1/5
y = -1/5x + b
-4 = -1/5(2) + b
-4 = -0.4 + b
b = -3.6
y = -1/5x - 3.6
If a partical traveled a distance of 9.0×1012 meters at a rate of 1.8×105 meters per second. If distance = rate x time, how many seconds did it take the particle to travel the specified distance?
Answers
A particle traveled a distance of 9.0×10¹² meters in 5.0 × 10⁷ seconds.
What is division?The division in mathematics is one kind of operation. In this process, we split the expressions or numbers into the same number of parts.
Given:
If a particle traveled a distance of 9.0×10¹² meters at a rate of 1.8×10⁵meters per second.
And the distance,
= rate x time.
Rearranging the formula,
Time = Distance / rate
Time = 9.0×10¹² / 1.8×10⁵
Simplifying by using division operation,
Time = (9.0/1.8) × 10¹² × 10⁻⁵
Time = 5.0 × 10⁷
Therefore, the required specified time is 5.0 × 10⁷ seconds.
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Does the point (2,-1) lie on the line
y=3-2x?
Answers
Answer:
yes
Step-by-step explanation:
the line passes through that point.
Answer:
yes
Step-by-step explanation:
Here, x=2 and y=-1
If these points lie on the line y= 3-2x,then they must satisfy the equation of the line (also mean they must be equal)
So on solving the equations putting the value of x and y, we get
y=3-2x
or,-1=3-2*2
or,-1=3-4
Therefore, -1=-1