Ayuda porfa, es urgente
La siguiente tabla muestra la estatura de los estudiantes de noveno año de educación básica.
Con esos datos complete la tabla y determine los valores de las medidas de tendencia central.
160,160,160,161,162,163,164,165,165,165,165,166,167,167,167,167,168,168,168,169,170, 170, 170,171,173,173,173,175,175,176.
Answers
Answer:
Media: 167.88 cm
Mediana: 167.6 cm
Modo: 166.67 cm
Step-by-step explanation:
Hola!
La variable de interés es:
X: estatura de un alumno de noveno año de educación básica.
1)
Primero debes ordenar los datos de menor a mayor y contar cuantos de ellos corresponden dentro de cada intervalo determinado, por ejemplo, el primer intervalo es:
[160;164)
Los intervalos están definidos con el límite inferior cerrado, es decir que incluye el valor de dicho límite, y el límite inferior abierto, es decir, que ese valor no está incluido en el intervalo.
160,160,160,161,162,163,164,165,165,165,165,166,167,167,167,167,168,168,168,169,170, 170, 170,171,173,173,173,175,175,176.
f(1)= 6 (seis valores de estatura corresponden a este intervalo)
La sumatoria de todas las frecuencias absolutas debe dar por resultado el total de observaciones n= 30
Para el segundo intervalo [164;168)
f(2)= 10
2)
hi representa la frecuencia relativa simple y esta se calcula como fi/n
Por ejemplo para el primer intervalo:
h(1)= f(1)/n= 6/30= 0.20
Esta indica la proporción de que las alturas estén entre 160 y 164 cm.
En porcentaje se expresa como hi*100, para el primer intervalo: 0.20*100)= 20%
Para el segundo intervalo h(2)= f(2)/n= 10/30= 0.33 y su porcentaje es 33%
Como indican la proporción de cada categoría de la distribución, la sumatoria de las frecuencias relativas simples de todas las categorías debe ser 1.
3)
Como lo dice su nombre, esta frecuencia es acumulada y se calcula como la sumatoria de las frecuencias absolutas simples, para el primer intervalo, dado que previo a él no hay "nada" es igual a la frecuencia absoluta simple:
F(1)= f(1)
Para el segundo intervalo, es la frecuencia absoluta simple del primer intervalo más la frecuencia relativa simple del segundo intervalo:
F(2)= f(1) + f(2)= 6 + 10= 16
4)
Esta frecuencia también representa la sumatoria de las frecuencias relativas simples.
H(1)= h(1)= 0.20 como previo al primer intervalo no existe distribución definida, la frecuencia relativa acumulada es igual a la frecuencia relativa simple.
Para el segundo intervalo la frecuencia relativa acumulada es:
H(2)= h(1)+h(2)?= 0.20+0.33= 0.57
Adjunta a la respuesta encontrarás la tabla completa.
5)
Como no específica medidas de tendencia central requeridas, voy a calcular la media, mediana y modo utilizando la tabla.
Media
X[barra]= (∑x'fi)/n= ∑x'*hi
Dónde x' representa la marca de clase de cada intervalo. Para calcular la marca de clase de los intervalos debes realizar un promedio entre sus límites y su valor siempre debe encontrarse dentro de los límites del intervalo. Si no es así, has cometido un error de cálculos:
(Limite inferior + Limite superior)/2
1. [160;164) x₁'= (160+164)/2= 162
2. [164;168) x₂'= 166
3. [168;172) x₃'= 170
4. [172;176) x₄'= 174
Una vez que calculaste las marcas de clase, puedes calcular la media:
X[barra]= ∑x'*hi= (162*0.20)+(166*0.33)+(170*0.27)+(174*0.20)= 167.88 cm
Mediana:
La mediana es el valor de la variable que divide a la muestra en dos (50%-50%).
Para poder calcularla primero debes identificar su posición, en este tipo de presentación, debes identificar el intervalo en el que se encuentra incluida la mediana.
Para muestras pares, la posición de la mediana se calcula como:
PosMe= n/2= 30/2= 15
Esto significa que la mediana corresponde a la 15va observación de la muestra, observando la columna de las frecuencias absolutas (simples o acumuladas) debes identificar cual es el intervalo de la mediana:
Al segundo intervalo se corresponde una frecuencia acumulada de 16, lo que significa que la posición de la mediana está incluida en este intervalo:
[164;168)
Entonces puedes calcular la mediana como:
[tex]Me= Li + c [\frac{PosMe-F_{(i-1)}}{f_i} ][/tex]
Dónde
Li: es el límite inferior del intervalo de mediana.
c: es la amplitud del intervalo
F₍i₋₁₎: frecuencia absoluta acumulada del intervalo anterior al intervalo mediana
fi: frecuencia absoluta del intervalo mediana
[tex]Me= 164 + 4 [\frac{15-6}{10} ]= 167.6[/tex]
Me= 167.6 cm, como puedes notar, el valor de la mediana se encuentra entre los límites del intervalo.
Modo o Moda:
El modo o la moda de una distribución corresponde al valor más observado, es decir, al valor con mayor frecuencia absoluta simple. Al igual que la media, para calcular el modo primero debes identificar el intervalo que lo contiene. En este caso, el intervalo modal será aquel con la mayor frecuencia absoluta simple.
[164;168)
La fórmula para calcular el modo es:
[tex]Md= Li + c[\frac{(f_{max}-f_{ant})}{(f_{max}-f_{ant})+(f_{max}-f_{post})} ][/tex]
Li: es el límite inferior del intervalo modal
c: es la amplitud del intervalo
[tex]f_{max}[/tex]: es la frecuencia absoluta simple del intervalo modal.
[tex]f_{ant}[/tex]: es la frecuencia absoluta simple del intervalo anterior al intervalo modal.
[tex]f_{post}[/tex]: es la frecuencia absoluta simple del intervalo posterior al intervalo modal.
[tex]Md= 164 + 4[\frac{10-6)}{(10-6)+(10-8)} ]= 164+4[\frac{4}{4+2} ]= 166.67[/tex]
Md= 166.67 cm
¡Espero que tengas un buen día!
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Give brianliest and 15 points
Answers
Answer:
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Step-by-step explanation:
X+U= [-1, -1] on the top and [0, -23/4] on the bottom
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Danke Shun!!!!!
Step-by-step explanation:
Oh mein Gott, danke für die kostenlosen Punkte, Kumpel !!
The initial freshman class at a college is 10% smaller 1
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Answers
Answer:
875 students are enrolled in this year's freshman class after the first week of classes.
Step-by-step explanation:
Last year, there were 950 students.
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Written expression for the sum of d and 9
Answers
Hey!!
Here's your answer:
Answer:d+9
Hope it will help you....
Good luck on your assignment
Please help quickly !!!!!!
Answers
Answer:
You should be able to figure this out from the explanation below.
Step-by-step explanation:
When two lines cuts across each other they form.what we call.vertically opposite angles so from the figure above, we can say:
Look at the diagram below for more understanding of the concept.
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Step-by-step explanation:
Use Theorem "measure of the angle is the average of the measures of the arc
(a=b+c/2)
a=x
b=76
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Set up your equation, X=76+78/2
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Hope this heeelps~!!
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ASAP! GIVING BRAINLIEST! Please read the question THEN answer correctly! No guessing. Show your work or give an explaination.
Answers
Answer:
B
Step-by-step explanation:
The -1/3 stretched it and reflect it to x axis, then the 4 moved it to the left
Which inequality has -25 in its solution set?
A. y + 11 > -9
B. y - 17 Less-than-or-equal-to -46
C. 30 Less-than-or-equal-to y + 5
D. y + 20 > -30
Answers
Answer: The answer is D: y + 20 > -30
Step-by-step explanation:
I got this right on edgen.
Have a good day!! #BLM <3
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Answers
Answer:
Top to Bottom:
2nd Parallelogram
2nd Trapezoid
Triangle
1st Parallelogram
1st Trapezoid
Step-by-step explanation:
1. Trapezoid: 40
2. Triangle: 30
3. Parallelogram: 32
4. Trapezoid: 28
5. Parallelogram: 24
P.S. Sorry I took to Long
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Answers
Answer:
Step-by-step explanation:
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Answers
Answer:
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Step-by-step explanation:
To convert polar into rectagular
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r= 10sinθ
r=[tex]\frac{10y}{r}[/tex] => r²=10y
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x²+(y-5)²=25
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Answers
So the right answer is 180
Look at the attached picture
Hope it will help you
Good luck on your assignment
Answer:
50%=0.5
Y x 0.5 = 90
We undo the equation and divide instead of multiply
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Double check by changing Y with 180
180 x 0.5 = 90
180 is the answer
Hope this helps
Step-by-step explanation:
The value of a certain car decreases by 16% each year. What is the 1⁄2-life of the car?
Answers
Answer:
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Step-by-step explanation:
The value of the car after t years is given by the following equation:
[tex]V(t) = V(0)(1-r)^{t}[/tex]
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So
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What is the 1⁄2-life of the car?
This is t for which V(t) = 0.5V(0). So
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[tex]0.5V(0) = V(0)(0.84)^{t}[/tex]
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[tex]t\log{0.84} = \log{0.5}[/tex]
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Answers
Answer:
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Step-by-step explanation:
What is the quotient of 38 and 23?
Answers
Answer:
im not sure if your doing it by 38 dividend by 23 but i got 1.652174.......idk really im doing the same question lol.
Step-by-step explanation:
What is equalivant to 5+4z+13
Answers
Answer:
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Step-by-step explanation:
[tex]5 + 4z + 13 \\ = 4z + 18[/tex]
6 more than a number is 36.
Answers
Answer:
30
Step-by-step explanation:
30+6= 36
36-6=30
Lets use n to represent the number.
6 more than a number: n + 6
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Put the equation together:
n + 6 = 36
Solve for n.
n + 6 = 36
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n + 6 - 6 = 36 - 6
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n = 30
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PLEASE HELP
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Answers
Answer:
a) v_avg = k
b) 0.034 km/h
Step-by-step explanation:
a) The average velocity is given by the displacement over the time:
[tex]v_{avg}=\frac{\Delta x}{\Delta t}[/tex] (1)
Δx is the area under the line. In this case you can consider two areas. Firs, from t=0 t0 t=30 and from t=30 to t=50:
S1 = 30k
S2 = 20k/2 = 10k
Then, the total surface is:
S = S1+S2 = 50k
The average speed is:
v_avg = (50k)/(50s)= k
b) The value of k can be determined by using the expression for the total area under the line, which is the total displacement of the car S=1.7 km:
S=50k=1.7km
k=(1.7km)/(50k)=0.034km/h = 34 m/h
Excuse me can you help me to resolve this (×+5) (4x-3)=0
Answers
Answer: x = 3/4 x = -5
Step-by-step explanation:
x+5=0
x=-5
4x-3=0
Add three to both sides
4x = 3
x=3/4
ill used 5⁄6 cup of flour and 1⁄3 cup of sugar. How much more flour than sugar did Jill use in her recipe?
Answers
Answer:
5/6 - 1/3 = 5/6 - 2/6 = 3/6 = 1/2 more cups of flour. Hope this helps!
Answer:
1/3 x 2/2 = 2/6
5/6 - 2/6 = 3/6
3/6 / 3/3 = 1/2
1/2 more flour than sugar
Hope this helps. If you have any questions you can ask.
Step-by-step explanation:
The coach of a college basketball team records the resting pulse rates of the team's players. A confidence interval for the mean resting pulse rate of all collegians based on these data is of little use because __________.
A) the sample size is small, so the margin of error will be large.
B) the members of the basketball team can't be considered a random sample from the entire collegiate population.
C) many of the students on the team may refuse to respond.
D) the coach has sampled the entire population so there is no need for inference.
Answers
Answer:
B) the members of the basketball team can't be considered a random sample from the entire collegiate population.
Step-by-step explanation:
The coach is trying to estimate a parameter of a population (the mean resting pulse rates of alla collegians) from a sample statistic (the mean resting pulse of the basketball team's players).
The confidence interval for the parameter is of little use as the sample of team players is not representative of the population of collegians. The sample can not be considered random. Then, the estimation of the parameter will be biased.
Based on the two articles you have read, how might Google's mission to give
everyone access to as much information as possible make it easier to violate
a person's Fourth Amendment rights?
A. A person's personal information would be almost impossible to
find
B. People would be able to find information faster
C. The government might have access to a person's private
information making it easier to conduct warrantless searches and
seizures
O D. Business would be able to place ads relevant to what person typed
in a search engine,
Answers
The article shows that it may make it easier for the government to have access to a person's private information and to conduct unwarranted searches and seizures.
What are a person's Fourth Amendment rights?A person's Fourth Amendment rights is related to the right of an individual to be protected from unwarranted searches and seizures by the government.
According to the articles, Goo_gle's mission is to give
everyone access to as much information as possible.
This however would make it easier for a person's personal belongings or private information to be a target of government officials.
Therefore, Goo_gle's mission may make it easier for the government to have access to a person's private information making it easier to conduct unwarranted searches and seizures.
Learn more about Fourth Amendment rights at: https://brainly.com/question/17104412
Write an expression using numbers and variables for each expression below.
Example: 10 less than the product of 15 and c 150 - 10
A number d is decreased by 5 and then doubled.
Answers
Answer:
a number x is multiplied by 4 then increased by 2
Step-by-step explanation:
4x+2
can you put this in order 2, 10, 9, -10, -9, -8, -7, -6, -5 -4, 0,
Answers
ORDER FROM LEAST TO GREATEST:
-10, -9, -8, -7,-6, -5, -4, 0, 2, 9, 10.
Hey there!
When we have negative numbers, we might count like this: ....-5,-4,-3,-2,-1,0,1,2,3....
As you can see, the negative number is known as greater if it is closer to zero, so -1 is greater than -100.
With this information, let's order these numbers! :)
-10,-9,-8,-7,-6,-5,-4,0,2,9,10
I hope that this helps!
Susan paid $240 to have her house decorated. The materials used to decorate the house coast $115, and service was charged at $5 an hour. How many hours was the house worked on?
Answers
Answer:
[tex] 240 =5x +115[/tex]
And we can solve for x in order to find the number hours using to decorate the house.
We can subtract in both sides 115 and we got:
[tex] 240-115= 5x[/tex]
[tex] 125 = 5x[/tex]
And now we can divide both sides by 5 and we got:
[tex] x= 25[/tex]
So then the number of hours spent to decorate the house are 25
Step-by-step explanation:
Based on the information given we can model this function with this formula:
[tex] y = mx+b[/tex]
Where y represent the total cost paid, m the cost per hour representing the slope and x the number of hours worked and finally b the initial cost for the materials. Then our function is given by:
[tex] 240 =5x +115[/tex]
And we can solve for x in order to find the number hours using to decorate the house.
We can subtract in both sides 115 and we got:
[tex] 240-115= 5x[/tex]
[tex] 125 = 5x[/tex]
And now we can divide both sides by 5 and we got:
[tex] x= 25[/tex]
So then the number of hours spent to decorate the house are 25
The fraction, in hundredths,that is equivalent to 9/10
Answers
Answer:
9/10 is equivilent to 0.900
Step-by-step explanation:
Point A is at (-1, -9) and point M is at (0.5, -2.5).
Point M is the midpoint of point and point B.
What are the coordinates of point B?
Answers
Answer:2,4
Step-by-step explanation:
a marble is drawn at random from a bag which contains nine yellow marbles and six white marbles . Find the probability of white marble?
Answers
Answer:
2/5
Step-by-step explanation:
what is the volume of a cone with a diameter of 30 feet and a hight of 60 feet
Answers
Answer:
4500[tex]\pi[/tex] [tex]ft^{3}[/tex]or 4712.39[tex]ft^{3}[/tex]
What we need to know: The formula for the volume of a cone is: [tex]V=\pi r^{2} \frac{h}{3}[/tex]
So we are solving for V
Step-by-step explanation:
1) Radius is half of diameter r=30/2 thus, your radius is 15
2) you then have all your variables so you can start plugging values into your equation:
r=15 h=60
[tex]V=\pi 15^{2} \frac{60}{3} \\V=\pi (225)*(20)\\V=\pi(4500) \\V= 4500\pi[/tex]
This would be your exact answer but if you are solving for a rounded answer it would be
V~4712.39[tex]ft^{3}[/tex]
Pllssss I need help
Answers
Answer:
see below
Step-by-step explanation:
The sides of the triangle that are given in relation to x are the Adjacent side (10) and the Hypotenuse (15). The mnemonic SOH CAH TOA tells you the trig function that uses sides A and H is the Cosine function.
Cos = Adjacent/Hypotenuse
cos(x) = 10/15
The Tennessean, an online newspaper located in Nashville, Tennessee, conducts a daily poll to obtain reader opinions on a variety of current issues. In a recent poll, 762 readers responded to the following question:
"If a constitutional amendment to ban a state income tax is placed on the ballot in Tennessee, would you want it to pass?" Possible responses were Yes, No, or Not Sure. Determine:
a. What was the sample size for this poll?
b. Are the data categorical or quantitative?
c. Would it make more sense to use averages or percentages as a summary of the data for this question?
d. Of the respondents, 67% said Yes, they would want it to pass. How many individuals provided this response?
Answers
Answer:
(a) The sample size for this poll is, n = 762.
(b) The data is categorical.
(c) It would make more sense to use percentages as a summary of the data for this question.
(d) Approximately 511 individuals provided the response "Yes".
Step-by-step explanation:
(a)
It is provided that in a recent poll, 762 readers responded to the following question:
"If a constitutional amendment to ban a state income tax is placed on the ballot in Tennessee, would you want it to pass?"
The possible responses were Yes, No, or Not Sure.
So, the sample size for this poll is, n = 762.
(b)
The outcomes of the poll are:
1: Yes
2: No
3: Not Sure
The data is categorical.
Categorical data can take labels such as, Gender (M/F), indicators (0/1) and so on.
(c)
Averages can be computed only for quantitative variable.
So, it would make more sense to use percentages as a summary of the data for this question.
That is, the percentage of people saying Yes, No and Not sure.
(d)
The percentage of people saying Yes is, 67%.
Compute the number of people saying Yes as follows:
[tex]n(\text{Yes})=P(\text{Yes})\times n[/tex]
[tex]=0.67\times 762\\=510.54\\\approx 511[/tex]
Thus, approximately 511 individuals provided the response "Yes".
Can someone help me with is
Answers
Answer:
It is not equivalent
Step-by-step explanation:
Because the first expression simplified is 3x with the power of 9, and the first expression simplifies to x with a power of 9.
Answer:
No, they are not equivalent.
Step-by-step explanation:
In the case of the first expression: x³ * x³ * x³, you will solve the power first, before multiplying the whole numbers.
However, in terms of the second one, you are multiplying the powers first, and then solving for the power.
Take for example, x = 2. Plug in 2 for x in the expressions given:
x³ * x³ * x³ = 2³ * 2³ * 2³ = 8 * 8 * 8 = 64 * 6 = 512
However,
2^(3 * 3 * 3) = 2^(27) = 134,217,728
~