1. Si las notas de Esteban en una asignatura son: 3, 4, 6, 3, 5, 5, 6, 3, 4 y de estas notas se cambia un 6 por un 7, ¿cuál(es) de las siguientes medidas de tendencia central cambia(n)? I. La moda. II. La mediana. III. La media aritmética (promedio).

Answers

Answer 1

Responder:

Media

Explicación paso a paso:

Primero debemos saber que cambiar el valor de 6 a 7 no puede cambiar la mediana y la moda de los datos, ya que la moda es el valor que más ocurre, que es 3, mientras que la mediana es el valor tq en el medio después del reordenamiento.

La única medida de tendencia que cambiará es la media (datos promedio)

Vamos a revisar

Encuentra la media de dos datos originales

Media = 3, + 4, + 6 + 3, + 5 + 5 + 6 + 3 + 4/9

Tamaño de muestra = 9

Media = 39/9

Media = 4,33

Si uno de los 6 se reemplaza por 7, la media se convierte en

Media = 3, + 4, + 6 + 3, + 5 + 5 + 7 + 3 + 4/9

Tamaño de muestra = 9

Media = 40/9

Media = 4,44

Podemos ver que cambió el valor medio. Por tanto, la respuesta correcta es la media.

Answer 2

Teniendo en cuenta la definición de media, mediana y moda, la media aritmética es la única medida de tendencia central que cambia.

Media aritmética

La media (también llamada promedio o media aritmética) de un conjunto de datos es una medida de posición central cuyo valor se obtiene al dividir la suma de todos los números entre la cantidad de ellos. Entonces, en este caso, el promedio de las notas obtenidas por Esteban se calcula como:

[tex]media=\frac{3+4+6+3+5+5+6+3+4}{9}[/tex]

Resolviendo:

media= 4,33

La media aritmética de las notas de Esteban es 4,33.

Si de las notas de Esteban se cambia un 6 por un 7, se obtiene la serie de notas:

3, 4, 7, 3, 5, 5, 6, 3, 4

Entonces, la media aritmética de las notas obtenidas por Esteban se calcula como:

[tex]media=\frac{3+4+7+3+5+5+6+3+4}{9}[/tex]

Resolviendo:

media= 4,44

La media aritmética de las notas de Esteban si se cambia un 6 por un 7 es 4,44. Por lo que la media aritmética (promedio) cambia.

Moda

Por otro lado, la moda de un conjunto de números es el número que aparece más a menudo dentro del grupo de datos.

En este caso, podes observar que la cantidad de veces que aparece cada número es:

3: 3 veces

4: 2 veces

5: 2 veces

6: 2 veces

Debido a que el 3 es el número con mayor cantidad de repeticiones, la nota que más se repite es 3.

Si de las notas de Esteban se cambia un 6 por un 7, se obtiene la serie de notas:

3, 4, 7, 3, 5, 5, 6, 3, 4

a cantidad de veces que aparece cada número es:

3: 3 veces

4: 2 veces

5: 2 veces

6: 1 vez

7: 1 vez

Debido a que el 3 es el número con mayor cantidad de repeticiones, la nota que más se repite es 3.

Entonces, podes observar que la moda es 3 y no varia si de las notas se cambia un 6 por un 7.

Mediana

Por último, la mediana es valor que se encuentra en la mitad justa entre los valores máximo y mínimo de los datos con los que se está trabajando; es decir, que al ordenar los número de menor a mayor, éste se encuentra justamente en medio de los valores.

En este caso, ordenando de menor a mayor las notas de Esteban:

3,3,3,4,4,5,5,6,6

Se observa que el valor intermedio, es decir la mediana, de todas las notas de Esteban es 4.

Si de las notas de Esteban se cambia un 6 por un 7, se obtiene la serie de notas:

3, 4, 7, 3, 5, 5, 6, 3, 4

En este caso, ordenando de menor a mayor las notas de Esteban:

3,3,3,4,4,5,5,6,7

Se observa que el valor intermedio, es decir la mediana, de todas las notas de Esteban es 4. Por lo que la mediana no varia si de las notas se cambia un 6 por un 7.

En resumen

En resumen, la media aritmética es la única medida de tendencia central que cambia.

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Related Questions

A restaurant bill or lunch is $18 and the sales tax will be 6.5%. Savannah wants to leave a 15% tip. How much will lunch cost including the tax and the tip?

Answers

Answer:

$21.87

Step-by-step explanation:

Given that :

Cost of lunch = $18

Sales tax = 6.5%

Intended tip to leave = 15%

Cost of lunch including tip and tax =?

Sales tax = 0.065 * 18 = $1.17

Tip = 0.15 * $18 = $2.70

Cist of lunch including tip and tax :

($18 + $1.17 + $2.70)

= $21.87

is 24 a whole number​

Answers

Answer:

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Answers

Answer: 46/100 or in its simplest form it would be 23/50

Step-by-step explanation:

Answer:

46/100

Step-by-step explanation:

It's just how you say the number.   forty six hundredths right,

Pls mark Brainliest

TT uses 5 cups of grand Zucchini to make 2 loaves of Zucchini bread.how many cups of Zucchini does she need to make 1 loaf​

Answers

Answer: 2.5 cups of grand zucchini.

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Hmmmmmmmmmmmmmmmmmmmmmmmmm?

Answers

Answer:

a

Step-by-step explanation:

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Which graph represents the polynomial function h(x) = x3 + 2x2 – 11x – 12?
y

Answers

Answer:

I attached a pic of the answer. I just did the quiz. Hope this helps!!!

Step-by-step explanation:

The graph of the polynomial function h(x) = x³ + 2x² - 11x -12 has been shown.

Given that,
To determine the graph of the polynomial function h(x) =  x³ + 2x² - 11x -12.

What is the graph?

The graph is a demonstration of curves that gives the relationship between the x and y-axis.

Here,
The graph of the function h(x) = x³ + 2x² - 11x -12 can be drawn as the function is a polynomial of degree 3 so it will follow two ups  and down,
So the graph can be drawn as shown in the image.

Thus, the graph of the polynomial function h(x) = x³ + 2x² - 11x -12 has been shown.

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x/2≥−4

Answers

Answer:

x≥−8

Step-by-step explanation:

x/2≥−4

Multiply each side by 2

x/2 * 2≥−4*2

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Answers

Answer:

4

Step-by-step explanation:

coefficient- a numerical or constant quantity placed before and multiplying the variable

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A box is 10m long, 8m wide and 1.5m high. What is the quantity of liquid needed to fill the box?​

Answers

Answer:

120

Step-by-step explanation:

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I need help

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Answers

Answer:

There are three steps in calculating the slope of a straight line when you are not given its equation.

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Step Two: Select one to be (x1, y1) and the other to be (x2, y2).

Step Three: Use the slope equation to calculate slope.

Step-by-step explanation:

Answer:

Step one: identify two point on the line

Step two:. select one to be ( x1, y1) and the other to be (x2, y2).

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Answers

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8h

Step-by-step explanation:

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Answer:

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Answers

Answer:

We need more info. We need to know what y equals or what x equals.

Step-by-step explanation:

Answer:

m = -3 For the Slope

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Step-by-step explanation:

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Please hurry

Answers

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Step-by-step explanation: divide by 2 on both sides

Answer:

x = 5

Step-by-step explanation:

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Answers

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tytyuhuhu787.

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Answers

Answer:

x=3

Step-by-step explanation:

Answer:

x=3

Step-by-step explanation:

[tex]2x-6=0\\2x-6+6=0+6\\2x=6\\x=3[/tex]

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A hyena can run one over four of a mile in 22.5 seconds. At this rate, which equation can be used to determine how fast a hyena runs in miles per hour? (5 points)
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B:twenty-two point five seconds over one-fourth mile = 40 miles per hour
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Answers

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Step-by-step explanation:

I answered this in a test and a I got it right.

Give the multiples of each number. Then find their Least Common Multiple,
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Answers

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Answers

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Hannah and Jayna have disposable cameras . The table and descriptions show the number of shots left on their cameras as a function of time.

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Answer: Both functions have a negative rate of change.

Step-by-step explanation:

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Step-by-step explanation:

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Answers

A number professors assign cumulative finals. This means that the material tested on the exam covers all the information from the entire semester. In many ways, cumulative exams aren't only redundant, but set up many students to perform poorly.

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Answers

Answer:

y= -2x + 80

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Ronald said that (8.0 × 107) + (6.2 × 103) = 14.2 x 1010. Amy added the numbers too and said the sum was 8.00062 × 107. Ronald then added the numbers a second time and came up with his original result. Whose solution is correct? Ronald is correct because 80,000,000 + 6,200 = 142,000,000,000.

Yes No B
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Yes No C
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Yes No

Answers

Answer:

no, yes, yes, no

Step-by-step explanation:

Answer :

A)No

B)Yes

C)Yes

D)No

Explanation :

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If ZMK APY, m M = 112 ° , m Y = 41 ° , m K = (13x 37) ° , and m A = (2y + 7) ° , find the values of x and y.


need a answer asap

Answers

Answer

13x-37=112

13x =149

X=11.4

2y+7=41

Y=24

The value of x and y respectively will be 13° and 17°.

Based on the equation that's given in the question, the value of x will be found thus:

13x - 37 = 112

Collect like terms

13x = 112 + 37

13x = 149

x = 149/13

x = 13

Also, note that 2y + 7 = 41, therefore, the value of y will be:

2y = 41 - 7

2y = 34

y = 34/2 = 17°

Therefore, the value of x and y respectively will be 13° and 17°.

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if there are 3 apples for every 4 oranges , how many how many apples would you have if you have 20 oranges ? pls help

Answers

Answer:

15

Step-by-step explanation:

20 divided by 4 is 5. So, you would multiply 3 by 5 to get your answer.

what is the slope of the line y+1=3(x-4)​

Answers

the slope should be 3! because in slope intercept form it will be y=3x-13 :)

Johan has 15 bags of potato chips. All his 6 friends want 3/5 of a bad of chips, so he pours the chips into bowls. He takes a whole bag. How many full bags are left?

Please help!

Answers

Answer:

3/5 is equal to 0.6   multiply 0.6 by 6... subtract 3.6 from 15 and subtract one more bag because Johan took one whole bag of chips... there would be 10.4 bags of chips (about 10.5 bags of chips left).

Sorry nobody didn't answer your question yesterday... Hope I'm not too late...

Find the slope of the line that passes through (6,7) and (10,10)​

Answers

Answer:

3/4 or 0.75

Step-by-step explanation:

M=y2-y1/x2-x1

Answer:

4/3

Step-by-step explanation:

Use the formula

x2-x1 over y2-y1

since it goes by (x,y) label the given points

(6,7) and (10,10)​

6 is your first x (x1)

7 is you first y (y1)

onto the next point...(10,10)

10 would be your second x (x2)

and your second y would also be 10 (y2)

Now plug into formula x2-x1 over y2-y1

10-6 over 10-7= 4/3

-----------------------

You could also use a online graphing calculator!

Which of the following inequalities has a solution x≥−3
3(x−1)≤4x

x≥x+32

x6≤x2−1

x+4≥x3

Answers

Answer: A

Step-by-step explanation: 3(x-1) becomes 3x -3 ≤ 4x. Put all like variables on the same side, meaning you'll subtract 3x from both sides giving you -3 ≤ x. You can flip the equation around to make it look exactly like x ≥ -3

The inequality 3(x−1)≤4x is showing the solution x ≥−3. The correct option is A.

What is inequality?

inequality is the relationship between two expressions that are not equal, employing a sign such as ≠ “not equal to,” > “greater than,” or < “less than.”.

The inequality 3(x-1) ≤ 4x will be solved as below:-

3(x-1) becomes 3x -3 ≤ 4x. Put all like variables on the same side, meaning you'll subtract 3x from both sides giving you -3 ≤ x. You can flip the equation around to make it look exactly like x ≥ -3. The complete  solution is given below:-

3(x-1) ≤ 4x

3x - 3 ≤ 4x

-3 ≤ 4x - 3x

-3 ≤ x

x ≥ -3

Therefore, the inequality 3(x−1)≤4x is showing the solution x ≥−3. The correct option is A.

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45 miles per hour What is its rate in feet per second?

Answers

1 mile = 5,280 feet.

45 miles x 5,280 feet = 237,600 total feet.

1 hour = 3600 seconds

237,600/3600 = 66 feet per second.

Answer:

66 feet per second...I think

Step-by-step explanation:

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