Find the 5 data points needed for a box plot of the given data set: { 8, 19, 11, 20, 2, 14, 17, 9, 15}
Give the answers in order from least to greatest.
Data Point 1:
Data Point 2:
Data Point 3:
Data Point 4:
Data Point 5:
Answers
Answers:
Data Point 1: 2 Data Point 2: 8.5 Data Point 3: 14 Data Point 4: 18 Data Point 5: 20The boxplot is shown below.
=========================================
Explanation:
What your teacher wants is the five number summary.
This consists of:
MinQ1MedianQ3MaxGiven in that exact order.
The given data set is { 8, 19, 11, 20, 2, 14, 17, 9, 15}
This sorts to {2, 8, 9, 11, 14, 15, 17, 19, 20}
From this sorted set, we see that 2 is the smallest item. So this is the min value. This is data point 1.
The max is the largest item, which in this case is 20, so this value goes in the box for data point 5.
---------------------
Count out the number of values in the sorted set. You should count out n = 9 items.
Because n is odd, this means the median is in slot n/2 = 9/2 = 4.5 = 5
The value in the 5th slot is 14 which is the median (data point 3).
-----------------------
Once you determine the median, break the sorted set up like so
L = {2, 8, 9, 11}
U = {15, 17, 19, 20}
L is the lower set of values smaller than the median
U is the upper set of values larger than the median
The median itself is not part of set L and not part of set U either. It's ignored entirely from this point on.
From here, we find the middle values of L and U
You should find that the middle value of L is (8+9)/2 = 17/2 = 8.5 which is the value of Q1 (data point 2)
And also, the middle value of set U is (17+19)/2 = 36/2 = 18 which is the value of Q3 (data point 4)
-----------------------
To wrap everything up, we have this five number summary
Min = 2Q1 = 8.5Median = 14Q3 = 18Max = 20These will determine the features of the boxplot as shown below.
In this case, there are no outliers.
Related Questions
Find a homogeneous second-order Cauchy-Euler equation with real coefficients if the given number is a root of its auxiliary equation.
mi= i
C1cos(ln(x)) + C2sin(ln(x))
Answers
I'm going to assume that you mean to say that i = √(-1) is a root of the auxiliary equation. That is, if the Cauchy-Euler DE is
x ²y'' + axy' + by = 0
then the auxiliary equation obtained by substituting y = xᵐ is
x ² (m (m - 1) xᵐ ⁻ ²) + ax (m xᵐ ⁻ ¹) + bxᵐ = 0
which reduces to
m (m - 1) + am + b = 0
or
m ² + (a - 1) m + b = 0
By the fundamental theorem of algebra, we can write the quadratic in terms of its roots r₁ and r₂,
(m - r₁) (m - r₂) = 0
Given that one root is the imaginary unit i, and the coefficients of the aux. equation are real, it follows that the other root is -i, because complex roots must occur with their conjugates. So we have as our aux. equation,
(m - i ) (m + i ) = 0
or
m ² + 1 = 0
Then a - 1 = 0 and b = 1, so that the given root and general solution correspond to the DE,
x ²y'' + xy' + y = 0
1) Seven less than twice a number, n, is 32.
A. 7 - 2n = 32
B. 2n - 7 = 32
C. 7-n=2.32
D. (n - 7). 2 = 32
Answers
1) Seven less than twice a number, n, is 32.
ANS) B. 2n - 7 = 32
Answer:
1.
B. 2n - 7 = 32 is the right answer
use the elimination method to slove the system of equations.choose the correct ordered pair.6x+2y=8 12x+y=22
Answers
Answer: use photo. math
Step-by-step explanation:
boom
Use the function f(x) to answer the questions:
f(x) = 2x2 − x − 10
Part A: What are the x-intercepts of the graph of f(x)? Show your work.
Answers
Answer:
x=(-2,0) and x=(5/2,0)
Step-by-step explanation:
To find x-intercepts you set f(x), or y, to 0 and then solve.
[tex]0=2x^2-x-10\\Factor!\\0=(x+2)(2x-5)\\x+2=0\\x=2\\2x-5=0\\2x=5\\x=\frac{5}{2}[/tex]
The x-intercepts of the graph of f(x) is (-2, 0) and (5/2, 0).
The function is given as:
[tex]f(x) = 2x^2 - x - 10[/tex]
We need to find the points at which the given function crosses the x-axis.
What is the x-intercept of a function?It is the point at which the given function crosses the x-axis.
The x-intercept is found by setting y = 0 or f(x) = 0.
Given function,
[tex]f(x) = 2x^2 - x - 10[/tex]
Let's set f(x) = 0.
[tex]2x^2 - x - 10 = 0[/tex]
Solve the equation for x.
[tex]2x^2 - x - 10\\2x^2 - (5 - 4)x - 10\\2x^2 - 5x + 4x - 10\\x(2x-5) +2(2x - 5)\\(x+2)(2x-5)[/tex]
Now we have,
x+2 = 0 and 2x - 5 = 0
x = -2 and x = 5 / 2
We already know that y = 0 so the points at which the function intercepts with the x-axis are:
(-2, 0) and (5/2, 0).
The x-intercepts of the graph of f(x) is (-2, 0) and (5/2, 0).
Learn more about x-intercepts of a function here:
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Ilang litro ng tubig ang kailangang isalin sa timba na naglalaman ng 10 000 mililitro
Answers
Answer
nghiệmTrảingu từng bước:
A route up a mountain is 20 Km long. john followed this route at an average speed of xkm/h. write down an expression in terms of x,for the number of hours he took to walk up the mountain.
Answers
Answer:
20/x
Step-by-step explanation:
speed = distance /time
x km/h is speed
20 km is distance
x= 20/t
t= 20/x
T = d/ speed
T = 20/ X
A certain standardized test measures students’ knowledge in English and math. The English and math scores for 10 randomly selected students were recorded and analyzed. The results are shown in the computer output.
Which of the following represents the standard deviation of the residuals?
1.223
34.55
78.712
124.13
I think it's (B), 34.55
Answers
Answer:
34.55
Step-by-step explanation:
S = 34.55 represents the standard deviation of the residuals which is the correct answer that would be option (B).
What is the standard deviation?A standard deviation (σ) is a measure of the distribution of the data in reference to the mean.
Students' proficiency in math and English is assessed by a particular standardized test. Ten students were chosen at random, and their math and English test results were recorded and examined.
The computer output displays the outcomes.
Predictor Coef SE Coef t-ratio p
Constant -124.13 78.712 0.046
Math 1.223 0.1966 6.220 0.000
S = 34.55 R-Sq = 82.8% R-Sq (Adj) = 83.5%
In the above ANOVA table, S = 34.55 represents the residual standard deviation.
Therefore, the correct answer is Option B = 34.55.
Option A = 1.223 represents the coefficient of the math score.
Option C = 78.712 represents the Standard Error (S.E).
Option D = 124.13 is the coefficient value.
Hence, the correct answer would be an option (B).
Learn more about the standard deviation here:
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Chen rode his skateboard 3/3/4 miles in 34 of an hour.
What was his average speed in miles per hour?
_[blank]_ miles per hour
Answers
Answer:
5 miles per hour
Step-by-step explanation:
3¾ ÷ ¾ =
15/4 ÷ ¾ =
15/4 x 4/3 =
15/3 = 5
If
f (x) = 3x +1 and 1-1 = *?
then f-'(7) =
O 22
O-2
02
Answers
According to my calculations answer is -2
Find the missing side round your answer to the nearest tenth
Answers
Answer:
x=13.2
Step-by-step explanation:
cos(43)=x/18
x=18×cos(43)
x=13.2
Answered by GAUTHMATH
Please help !!! Plzzzz
Answers
Explanation:
Because we have a midsegment, this means that it is half as long as the side it's parallel to. You can think of "mid" as "middle" and that could lead to "halfway" to remember to take half.
So z = 14/2 = 7
There are 9 members on a board of directors. If they must form a subcommittee of 4 members, how many different subcommitteeses are possible?
Answers
Answer:
126
Step-by-step explanation:
9 choose 4 (Order does not matter)
9 nCr 4 = 126
Listed below are the overhead widths (in cm) of seals measured from photographs and the weights (in kg) of the seals. Construct a scatterplot, find the value of the linear correlation coefficient r, and find the critical values of r using α=0.01. Is there sufficient evidence to conclude that there is a linear correlation between overhead widths of seals from photographs and the weights of the seals?
Answers
Answer:
1.) scatter plot is attached below.
There is no sufficient evidence to support the claim that there is a linear correlation between overhead widths of seals from photographs and the weights of the seals.
Step-by-step explanation:
Given the data :
Overhead width : 7.2 7.5 9.7 9.3 8.7 8.2
Weight : 119 156 243 200 199 188
The linear correlation Coefficient, R = 0.946
Using the Pvalue calculator for R score ;
Pvalue = 0.0149
Since, Pvalue > Α ; WE fail to reject the Null and conclude that there is no sufficient evidence to support the claim that there is a linear correlation between overhead widths of seals from photographs and the weights of the seals.
can anybody help me with this?
Answers
Answer:
Option (a)
Step-by-step explanation:
[tex]\sqrt[6]{1000m^{3} n^{12} } = \sqrt[6]{10^{3} } \sqrt[6]{m^{3} } \sqrt[6]{n^{12} } =\\\sqrt{10} \sqrt{m} n^{2} = n^{2} \sqrt{10m}[/tex]
Grams in this equation
Answers
30 .650 pounds of gramsin vegetables
Hhhhhhhhhhhhhhhhuuiuu
Answers
Answer:
hhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhh
;)
Given a committee of 8 women and 11 men, how many different ways are there to pick a female president, a male treasurer, and a secretary of either gender if one of the men, Pete, says that he cannot be the treasurer? Assume that none can hold more than one office.
Answers
Answer: 1360 ways.
Step-by-step explanation:
Number of men = 11
Number of women = 8
Total members = 8 + 11 = 19
Firstly, the number of ways of selecting 1 woman for female president out of 8 will be:
= 8C1
= 8
Since Pete can not be a treasurer, then the treasurer will then be selected from the remaining 10(11 - 1). The number of ways of selecting 1 treasurer out of 10 will be:
= 10C1
= 10
Thirdly, since none can hold more then one office, in this case, the selection will be done by selecting 1 person out of 7 women and 10 men. Therefore, the number of ways of selecting 1 person out of 17 will be:
= 17C1
= 17
Therefore, the total number of ways will then be:
= 8 × 10 × 17
= 1360
bionomial probabilities
Answers
Answer:
Binomial probability refers to the probability of exactly x successes on n repeated trials in an experiment which has two possible outcomes (commonly called a binomial experiment).
Hope this will help you :)The following graph shows a proportional relationship.
What is the constant of proportionality between y and x in the graph?
Answers
Answer:
1.5
Step-by-step explanation:
Constant of proportionality refers to the slope of the line in this case, the slope of the line is (y2-y1)/(x2-x1)=(6-0)/(4-0)=1.5
a. 8
b. 10
c. 3
d. 4
Answers
Answer:
4
Step-by-step explanation:
The number on the right squared in equal to the number on the left
5^2 =25
6^2 = 36
What squared = 16
4^2 = 16
The the missing number is 4
1. Choose the correct decimal for "three tenths."
3
0.03
0.003
0.3
Please hurry, if you do reply thank u, it means alot! <3 :)
Answers
Answer:
3 tenths means 3 over ten represented as as 3/10 and 10 has one zero I.e tenth different from hundredths which has 2 zeros so our decimal shld also have one zero which is 0.3...so 0.3 is the answe hope it helps❤
Jaqueline used 2.5 pounds of ground beef to make 25 tacos for a family gathering. Peter wants to use the same recipe using 1 pound of ground beef.
How many tacos will Peter be able to make?
Answers
Answer:
Peter can make 10 tacos.
Step-by-step explanation:
Jaqueline's recipe calls for .1 pounds of beef per taco.
Given only 1 pound, multiply by, taking the reciprocal of .1 gives us 10 tacos.
The LARGEST angle has a measure of ______degrees
Answers
Answer:
90 i think
Step-by-step explanation:
If a 0.05 significance level is to be used to test the claim that p1< p2 , what confidence level should be used?
Answers
Using test hypothesis and confidence interval concepts, it is found that a 95% confidence level should be used.
A confidence interval can be used to make a hypothesis test.For a significance level of [tex]\alpha[/tex], the confidence level is of [tex]1 - \alpha[/tex]In this problem, there is a significance level of 0.05, hence the confidence level is of 1 - 0.05 = 0.95 = 95%.
A similar problem, also involving a confidence interval and an hypothesis test, is given at https://brainly.com/question/14740644
7. A machine produces memory sticks of varying lengths, distributed uniformly between 3mm and 13 mm. Memory sticks longer than 10 mm do not meet the design criteria and must be scrapped. Calculate the proportion of memory sticks that will be scrapped, which is the probability that memory stickers longer than 10 mm will be scrapped.
Answers
Answer:
The proportion of memory sticks that will be scrapped is 0.3 = 30%.
Step-by-step explanation:
Uniform probability distribution:
An uniform distribution has two bounds, a and b.
The probability of finding a value of at lower than x is:
[tex]P(X < x) = \frac{x - a}{b - a}[/tex]
The probability of finding a value between c and d is:
[tex]P(c \leq X \leq d) = \frac{d - c}{b - a}[/tex]
The probability of finding a value above x is:
[tex]P(X > x) = \frac{b - x}{b - a}[/tex]
Distributed uniformly between 3mm and 13 mm.
This means that [tex]a = 3, b = 13[/tex]
Calculate the proportion of memory sticks that will be scrapped:
[tex]P(X > 10) = \frac{13 - 10}{13 - 3} = \frac{3}{10} = 0.3[/tex]
The proportion of memory sticks that will be scrapped is 0.3 = 30%.
A patient consumes 2,000 calories of which 1200 calories were from carbohydrates. What percent of calories were from carbohydrates? Round the answer to the nearest integer.
Answers
Answer:
60%
Step-by-step explanation:
1200/2000=.6 or 60%
60%of calories were from carbohydrates.
What is percentage?a relative value that represents one tenth of any amount. One percent (symbolized as 1%) is equal to 100 parts; hence, 100 percent denotes the complete amount, and 200 percent designates double the amount specified. percentage. Percentile in mathematics is a related topic.
Given
1200/2000=.6 or 60%
Hence, 60%of calories were from carbohydrates.
To learn more about percentage refer to:
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Tile is to be placed in an entryway, as shown below.
At $6.25 per square foot, how much does it cost to tile the entryway?
Answers
Calculate the area by using 2 rectangles:
13 x 5 = 65 square feet
5 x 4 = 20 square feet
Total area = 65 + 20 = 80 square feet.
Multiply price per square foot by total area:
6.25 x 80 = 500
Cost = $500
In a sociology class there are 14 men and 10 women. 3 students are randomly selected to present a topic. What is the probability that at least 1 of the 3 students selected is female? Express your answer as a fraction or a decimal number rounded to four decimal places.
Answers
Answer:
0.8015
Step-by-step explanation:
Hope I'm correct lol
What are the x-intercepts for the function ƒ(x) = -x(x − 4)?
A 0
B -1, 4
C 4
D 0, 4
What are the solutions to the quadratic equation 4x2 − x − 3 = 0?
Answers
Answer:
D
Step-by-step explanation:
f(x)=-x(x-4)
f(x)=-x²+4x
-x²+4x=0
x(-x+4)=0
x=0, x=4
(2)
4x²-x-3=0
(4x²+3x)-(4x-3)=0
x(4x+3)-1(4x+3)=0
x=1, x=-3/4
Please help me with this question
In a class of 30 students, 4 received a grade of A. What fraction of the class did not receive an A? Reduce to the lowest terms.
Answers
Answer: 13/15
Step-by-step explanation:
Given:
Total number of students = 30
Number of students received an A = 4
Solve:
STEP ONE: Find the number of students who did not receive an A
No A = Total - Yes A
No A = 30 - 4
No A = 26
STEP TWO: Find the fraction of the class that didn't receive an A
Fraction = No A / Total
Fraction = 26 / 30
Fraction = 13 / 15
Hope this helps!! :)
Please let me know if you have any questions
