what is the standard deviation of 2,2,2,8,8,8

Answers

Answer 1

Solving provided question, we can say that value of standard deviation will be 3.28634 and Mean (Average) = 5 and Variance (SD) = 10.8

What is standard deviation?

Standard deviation is a statistic that expresses the variability or variance of a group of numbers. While a high standard deviation suggests that the values are more dispersed, a low standard deviation suggests that the values tend to be closer to the established mean. A measure of how dispersed the data are from the mean is the standard deviation (or ). When the standard deviation is low, the data tend to be grouped around the mean, and when it is large, the data are more dispersed. The average variability of the data set is measured as standard deviation. It reveals the average deviation of each score from the mean.

Total Numbers = 6

Mean (Average) = 5

SD = 3.28634

Variance (SD) = 10.8

Population SD = 3

Variance(Population SD) = 9

To know more about standard deviation visit:

https://brainly.com/question/23907081

#SPJ1

Related Questions

plss help me i need helppp

Answers

The missing value of the first coordinate x is 9.

What is the missing x-coordinate?

Slope is simply expressed as change in y over the change in x.

Slope m = ( y₂ - y₁ )/( x₂ - x₁ )

Given the data in the question;

Point A (x,8)

x₁ = xy₁ = 8

Point B (4,-7)

x₂ = 4y₂ = -7

Slope m = 3

Plug the given coordinates into the slope formula and and solve for x.

Slope m = ( y₂ - y₁ )/( x₂ - x₁ )

3 = ( -7 - 8 )/( 4 - x )

Cross multiply

3( 4 - x ) = ( -7 - 8 )

12 - 3x = -7 - 8

12 - 3x = -15

-3x = -15 - 12

-3x = -27

x = -27 / -3

x = 9

Therefore, the value of x is 9.

Learn more about slope formula here: brainly.com/question/24578307

#SPJ1

how do the values of the 4s in 64.723 and 9.048 compare? the value of the 4 in 64.723 is times the value of the 4 in 9.048

Answers

The 4 in 64.723 has a value that is 10 times greater than the value of the 4 in 9.048.

The values of the 4 in 64.723 and 9.048 are not directly comparable because they represent different places in the number and have different values as a result.

In 64.723, the 4 is the hundredths place, which means it represents 0.04. In this case, the value of the 4 is 0.04.

In 9.048, the 4 is the thousandths place, which means it represents 0.004. In this case, the value of the 4 is 0.004.

To compare the two values of 4, we can divide the value in 64.723 by the value in 9.048:

0.04 / 0.004 = 10

So the value of the 4 in 64.723 is 10 times the value of the 4 in 9.048. This means that the 4 in 64.723 has a value that is 10 times greater than the value of the 4 in 9.048.

Therefore, the 4 in 64.723 has a value that is 10 times greater than the value of the 4 in 9.048.

To learn more about place value,

Visit; brainly.com/question/27734142

#SPJ4

The 4 in 64.723 has a value that is 10 times greater than the value of the 4 in 9.048.

The values of the 4 in 64.723 and 9.048 are not directly comparable because they represent different places in the number and have different values as a result.

In 64.723, the 4 is the hundredth place, which means it represents 0.04. In this case, the value of the 4 is 0.04.

In 9.048, the 4 is the thousandths place, which means it represents 0.004. In this case, the value of the 4 is 0.004.

To compare the two values of 4, we can divide the value in 64.723 by the value in 9.048:

0.04 / 0.004 = 10

So the value of the 4 in 64.723 is 10 times the value of the 4 in 9.048. This means that the 4 in 64.723 has a value that is 10 times greater than the value of the 4 in 9.048.

Therefore, the 4 in 64.723 has a value that is 10 times greater than the value of the 4 in 9.048.

To learn more about place value,

brainly.com/question/27734142

#SPJ4

Question 3 of 10
What are the more appropriate measures of center and spread for this data
set?
0 2
4
5 8 10
H
14
24
6 8 10 12 14 16 18 20 22 24 26 28 30
Select two choices: one for the center and one for the spread.
A. Better measure of spread: the standard deviation
B. Better measure of center: the median
C. Better measure of spread: the interquartile range (IQR)
D. Better measure of center: the mean

Answers

The more appropriate measures of center and spread or the data set would be:

B. Better measure of center: the medianC. Better measure of spread: the interquartile range (IQR)

When should median and interquartile range be used ?

The median and interquartile range (IQR) should be used when analyzing data that has a non-normal distribution. They are particularly useful when working with data sets that contain outliers or skewness.

The median provides an indication of the central tendency of the data, representing the value that separates the data into two equal parts, with half the data being below and half the data being above that value. The IQR, on the other hand, provides information about the spread of the data and can be used to identify outliers.

The data here has the extreme figure of 24 which is an outlier and so not compatible with the mean. The median is therefore better. The interquartile range would be better for spread due to the outlier as well.

Find out more on median at https://brainly.com/question/27353809

#SPJ1

A bag of apple weigh 350 g. A box can hold 12 bag of apple. What would be the ma of 20 boxe of apple? Give your anwer in kilogram

Answers

The mass of 1 box of the weight of 20 boxes of apples is 84 kg.

Given that,

The weight of a single bag of apples = 350 grams.

No. of bags hold by one box = 12

The total weight of a single box is 12 x 350 grams = 4200 grams.

Now we multiply the weight of a single box (4200 g) by 20, which gives us 4200 g x 20 = 84,000 grams.

Since the final answer is asked in kilograms, we divide the weight in grams by 1000, which gives us 84,000 g ÷ 1000 = 84 kilograms.

Therefore, the total weight of 20 boxes of apples would be 84 kilograms.

To learn more about weight:

https://brainly.com/question/229459

#SPJ4

find a positive angle less than 2 that is coterminal with the given angle.

Answers

350° and 350° - 360° are coterminal angles with magnitudes less than 2π.

What is coterminal?

In mathematics, two angles are called coterminal if they have the same magnitude (measure) but different orientations. This means that they represent the same angle but start from different points on the unit circle.

An angle is coterminal with another angle if it has the same magnitude but a different orientation. To find a positive angle less than 2π that is coterminal with a given angle, you can add or subtract multiples of 2π until you get an angle in the desired range.

For example, if the given angle is 350 degrees, you can subtract 2π from it to get a positive angle less than 2π:

350° - 360° = -10° + 360° = 350°

So, 350° and 350° - 360° are coterminal angles with magnitudes less than 2π.

To learn more about coterminal, Visit

https://brainly.com/question/23093580

#SPJ4

Let f be the continuous function defined on (−1,8) whose graph, consisting of two line segments. Let g and h be the function defined by g(x)=√x^2−x−3 and h(x)=5e^x−9sinx. The function is defined by m(x)=f(x)/2g(x). Find m′(5).

Answers

The function is defined by m(x)=f(x)/2g(x) is m′(5))=[tex]\sqrt[3]{3/2}[/tex] on graph.

How to defined the function?

A function is a relation that is "well-behaved," by which we mean that, given a starting point, we know the exact one ending spot to go to; given an x-value, we get only and precisely one corresponding y-value. As a result, even though all functions are relations [since they pair information], not all relations are functions. Family members who behave well are a subset of all your relations, just as well-behaved functions are a subset of all mathematical relations.)

f(x)=2x+3,XE[-1,2]

-2/3x+25/3, XE[2,8]

g(x)=√x^2−x+3 XE

m′(5))=[tex]\sqrt[3]{3/2}[/tex]

The thing to notice here is that f(x) is expressed differentially in different domain.

To learn more about domain refers to;

brainly.com/question/14012667

#SPJ4

What is the sum?

(42x-23) + (13x+43)

Answers

Answer:

55x+20

Step-by-step explanation:

Answer:

Simplification 5(11x+4)

Step-by-step explanation:

42x-23+13x+43

42x +20 + 13x

Combine like terms

42x+20+13x

55x+20

Common factor

55x+20

5(11x+4)

Question 3 (5 points)

(02. 01 MC)

Which of these is a positive externality of carpooling with friends to work?

оа

Reduced commute time

Ob

Reduced driving focus

Ос

Reduced traffic on the road

Od

Reduced time to socialize

Answers

The positive externality of carpooling with friends is reduced traffic on the road. Hence, option C is the correct option.

Carpooling is a very useful method of reducing traffic as well as pollution and is quite simple as well. It involves the usage of only one common vehicle that can be used by people who commute to the same destination. It's helpful since it means a lot of people will use only one vehicle and hence, there will be less traffic and pollution.

In the given problem as well, since these friends are gonna carpool to work, they will use the same vehicle and so, lead to less traffic. So, option C is the correct option.

Learn more about carpooling on

https://brainly.com/question/24307170?referrer=searchResults

#SPJ4

f (x) = x2 − 2x − 8 f ( x) = x 2 - 2 x - 8. Find the properties of the given parabola.

Answers

vertex of the parabola are found as: (h, k) = (1, - 9)'a' has a positive value, the parabola expands.Define the term parabola?Any point on a parabola is at a fixed length from both the focus, a fixed point, and the directrix, a fixed straight line. A parabola is just a U-shaped plane curve. The topic of conic sections includes parabola, and all of its principles are discussed here.

The equation of the parabola is give as;

f (x) = x² − 2x − 8

Let y = x² − 2x − 8

Complete the square on right sides of the equation.

y = (x - 1)² + 9

Comparing with the standard equation of the parabola.

y = a(x - h)² + k

a = 1h = 1k = -9

Thus, vertex of the parabola are found as:

(h, k) = (1, - 9)

Since 'a' has a positive value, the parabola opens upwards.

To know more about the parabola, here

https://brainly.com/question/2841375

#SPJ4

Which of the following statements about a boxplot is always false? (A) The confidence interval for the mean lies outside the box. (B) The median lies outside the span of the box. (C) The plot shows only a box, with no outliers or "whiskers". (D) The plot shows no outliers. (E) None of the above.

Answers

The median lies outside the span of the box is always false.

Boxplots are particularly helpful for immediately determining a collection of data's location, dispersion, symmetry, or skewness as well as for comparing these characteristics between two or more data sets. Building a boxplot is straightforward.

A box and whisker plot, often known as a box plot, shows a data set's five-number summary. The minimum, first quartile, median, third quartile, and maximum make up the five-number summary.

In a box plot, we draw a box from the first quartile to the third quartile. A vertical line goes through the box at the median. The whiskers go from each quartile to the minimum or maximum.

Thus, The median lies outside the span of the box is always false.

To know more about boxplots visit: brainly.com/question/12992903

#SPJ4

Point R is at (2, 1.2) and Point T is at (2, 2.5) on a coordinate grid. The distance between the two points is . (Input numbers and decimal point only, such as 8.2.)

Answers

The distance between two points (x1, y1) and (x2, y2) on a coordinate grid can be calculated using the Pythagorean theorem:
distance = √((x2 - x1)^2 + (y2 - y1)^2).

In this case, Point R is at (2, 1.2) and Point T is at (2, 2.5).

distance = √((2 - 2)^2 + (2.5 - 1.2)^2) = √((0^2) + (1.3^2)) = √(1.69) = 1.2987

So, the distance between the two points is approximately 1.2987

how many yards are in 18 miles

Answers

there are 31680 yards in 18 miles

Answer:

31680

Step-by-step explanation:

A box has the shape of a rectangular prism with height 31 cm. If the height is increased by 0. 8 cm, by how much does the surface area of the box increase?

Use pencil and paper. Show your work. Then show a second way to solve the problem. Explain which way you like better and why.

Answers

39.52 cm² of the surface area of the box increase.

What is the rectangular prism?A three-dimensional solid form with six faces, including rectangular bases, is called a rectangular prism. A rectangular prism also refers to a cuboid. A cuboid and a rectangular prism have the same cross-section.Having six faces, a rectangular prism is a three-dimensional shape (two at the top and bottom and four are lateral faces).An object must have all six faces be rectangles, the opposite faces must be equal, and the cross-section throughout the length must be the same for it to be a right rectangular prism.Rectangular prisms have surfaces equal to the sum of their side areas, and their volumes are equal to their length times breadth times height.

Given data :

H = 31 cm

the surface area of the box increase ;

= 2( 31 x 8.7 + 31 x 16 + 16 x 8.7) + 2 ( 31.8 x 8.7 + 31.8 x 16 + 16 x 8.7 )

= 2 ( 8.7 + 16 ) x ( 31.8 - 31 )

= 2 x 24.7 x 0.8

= 39.52 cm²

Learn more about Rectangular prism refer to :

https://brainly.com/question/24284033

#SPJ4

A pet store had 4 cats to feed.If they only had one-ninth of a bag of cat food and each cat got the same amount,what fraction of the bag would each cat get in all.

Answers

Answer:

0.02777777778 or 1/36

Step-by-step explanation:

1/9 divided by 4 = 0.02777777778 or 1/36

-2x^{3}\left(-x^{3}\right)

Answers

The required simplified solution of the given expression is 2x⁶.

What is simplification?

The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.

Here,
Given expression,
= -2x³(-x³)

Since we know that, -a × - a = a²,
= 2x³⁺³
= 2x⁶

Thus, the required simplified solution of the given expression is 2x⁶.

Learn more about simplification here:

https://brainly.com/question/12501526

#SPJ1

Use the graph at the right Write directions to translate the original triangle to make the new triangle . original b. What are the coordinates of the vertices (corners) of the new shape ? new On your graph, reflect the original triangle across the y -axis. What are the coordinates of the new triangle?

Answers

The directions used to translate the original triangle to a new triangle are translation to the right on the x-axis by 2 units and then it is down on the y-axis by 3 units.

What are transformations?

The transformation, or f: X X, is the name given to a function, f, that maps to itself. After the transformation, the pre-image X becomes the picture X. Any operation, or a combination of operations, such as translation, rotation, reflection, and dilation, can be used in this transformation. A function can be moved in one way or another using translation, rotation, reflection, and dilation. A function can also be scaled using rotation around a point.

The directions used to translate the original triangle to a new triangle are:

First the graph is translated to the right on the x-axis by 2 units and then it is translated down on the y-axis by 3 units.

The new coordinates of the triangle are:

A' = (-1, -2)

B' = (-2, 0)

C' = (0, 0)

Hence, the directions used to translate the original triangle to a new triangle are translation to the right on the x-axis by 2 units and then it is down on the y-axis by 3 units.

Learn more about transformation here:

https://brainly.com/question/29194193

#SPJ1

an edge of a square can be expressed as $4x-15$ meters or as $20-3x$ meters. what is its area in square meters?

Answers

The area in a square meter is 5$. We can equate the two expressions for the length of the edge of the square and solve for x:

$4x - 15 = 20 - 3x$

$7x = 35$

$x = 5$

The length of one edge of the square is 5 meters, so the area of the square is $5^2 = 25$ square meters. Therefore 5$ is the solution for the $4x-15$ and 20 - 3x$ equation. 15 and 3 will exchange their places to form 7$ and 35$ and 5$ is the end result of the problem that is given.

To know more about area in a square

brainly.com/question/1658516

#SPJ4

A commission is a percentage of a sale. People who conduct sales earn a portion of their income based on how much they sell. Zachary earned 31% commission on a sale of $635. What is the amount of the commission?

Answers

The amount of the commission earned by Zachary on the $635 sale is $196.85.

What is the amount of the commission earned by Zachary?

A commission is a percentage of a sale earned by a sales person.

Given that;

Commission = 31%Sale price = $635Commission amount = ?

Since commission is a percentage of a sale earned

Commission amount = sale price × commission

Plug in the given values and simplify

Commission amount = $635 × 31%

Note that; 31% is the same as 31/100

Commission amount = $635 × 31/100

Commission amount = $635 × 0.31

Multiply $635 and 0.31

Commission amount = $196.85

Therefore, the amount of commission is $196.85.

Learn about percentages here: https://brainly.com/question/14103344

#SPJ1

Hi, can anyone pls help. It’s based on variation. The question is in the picture attached

Answers

The value of v in the variation is 21.1

How to determine the value of V

From the question, we have the following parameters that can be used in our computation:

Joint variation from p to s and v^2

So, we have

p = ksv^2

Substitute the known values in the above equation, so, we have the following representation

18 = k * 9 * 15^2

So, we have

k = 2/225

When s = 81 and p = 32, we have

32 = 2/225 * 81 * v^2

This gives

v^2 = 72000/162

So, we have

v = 21.1

Answers

The answer to these questions is "7," but before we get there, let's define the instantaneous rate and its further computation.

Compute the Instantaneous rate of change ?

A rate at a specific time is called an immediate rate.The negative ball of the reactant concentration curve with respect to time t is calculated by calculating the pitch of the product amounting with respect to time t.

Given:

at X = 3

y = 21 according to the graph.

In light of this, given that X = 3 and the instantaneous rate of changes,

that is half.

Consequently, y/x = 21/3 = 7 is the instantaneous rate of change.

The final response is "7," as a result.

The answer to these questions is "7," but before we get there, let's define the instantaneous rate and its further computation.

To learn more about instantaneous rate refer

https://brainly.com/question/24592593

#SPJ4

Use the graph of the function to determine the indicated limit, if it exists. lim f(x) Select the correct choice below and fill in any answer boxes in your choice. A. lim f(x) = B. The limit does not exist and is neither conor -

Answers

lim (x → a) f(x) = ∞ , The limit does not exist and is neither ∞ nor - ∞

What is function?

The vertical line test is used to verify function. That is, a graph must have a unique y value for it to be referred to as a function for a certain (unique) value of x. If for a particular x, and y values are coming it means it is not a function. If it crosses y-axis twice it means for a particular x value , two different value of y will exist. And that is not possible for a function

From the graph, we know that limit at point a is:

lim (x→a) f(x) exists if and only if

lim (x →a⁺) f(x) = lim (x→a⁻) f(x) and ≠ ∞

∴ right hand side limit = left hand side limit

lim (x →a⁺) f(x) = - ∞

lim (x →a⁻) f(x) = - ∞

∴ lim (x → a) f(x) = ∞

thus, option B is the correct answer.

The limit does not exist and is neither ∞ nor - ∞

To know more about function visit:-

brainly.com/question/10439235

#SPJ4

Li gives 3 clues for a mystery polygon. It has 4 sides it has no pairs of parallel sides. Its angles measure 90 degrees 63 degrees 120 degrees and 87 degrees. Which best describes lis mystery polygon?

Answers

According to the given information, the mystery polygon is most likely a right trapezoid.

Li's mystery polygon has 4 sides and no pairs of parallel sides, which means it is a quadrilateral. Based on the angles given, 90 degrees, 63 degrees, 120 degrees, and 87 degrees, the mystery polygon is a trapezoid. A trapezoid is a quadrilateral with exactly one pair of parallel sides and no two angles that add up to 180 degrees.

A trapezoid with two right angles (90 degrees) is called a right trapezoid. Since Li's mystery polygon has one angle that measures 90 degrees, it is likely a right trapezoid. The other angles, 63 degrees, 120 degrees, and 87 degrees, do not match the angles of any other specific type of quadrilateral. Therefore, based on the information given, the mystery polygon is most likely a right trapezoid.

Learn more about Trapezoid :

https://brainly.com/question/8643562

#SPJ4

use the method of cylindrical shells to find the volume generated by rotating the region bounded by the given curves about the y-axis. y = x3, y = 0, x = 1, x = 3

Answers

The volume of the cylindrical shell will be 20 cubic unit using integration.

Indicate integration

Integration is the process of calculating an integral. Integrals are used by mathematicians to compute a range of useful quantities, such as areas, volumes, displacement, etc. Usually, when we talk about integrals, we mean definite integrals. Indefinite integrals are used for antiderivatives. Integration is one of the two primary calculus topics in mathematics, along with differentiation (which measure the rate of change of any function with respect to its variables).

Fundamental Integral

An integral that has both the upper and lower boundaries is said to be definite. Only a real line may be used for X to lay. A Riemann Integral is another name for the Definite Integral.

n example of an Integral is:

f(x)dx, from a to b.

Indefinite integral

∫f(x)dx = F(x) + C

Where C is any constant and the function f(x) is called the integrand.

Now,

As we can see in image

Volume = ∫x³.dx from 1 to 3 Using integration formula

=x⁴/4

=81/4-1/4

=80/4

volume =20 cubic unit

To know more about Integration visit the link

brainly.com/question/18125359?referrer=searchResults

#SPJ4

help im stuck on this

Answers

The pair of slopes of -3/4 and 4/3 represent perpendicular lines

What is an equation?

An equation is an expression that uses mathematical operations to show the relationship between numbers and variables. Types of equations are linear, quadratic, cubic and so on.

The standard form of a linear equation is:

Ax + By = C

Where A, B and C are constants

The slope intercept form of a linear equation is:

y = mx + b

Where m is the slope and b is the y intercept

The slope of the line passing through points (x₁, y₁) and (x₂, y₂) is:

m = (y₂ - y₁) / (x₂ - x₁)

Two lines are said to be perpendicular if the product of their slope is -1.

Given two lines with slope of -3/4 and 4/3:

Product of their slope = (-3/4) * (4/3) = -1

The lines with slope of -3/4 and 4/3 is perpendicular

Find out more on equation at: https://brainly.com/question/2972832

#SPJ1

I need help... Ainsley works for the owners of a bookstore. Her starting salary is $24,500, and she gets a 3% raise each year.
a. Write an equation in function notation to represent Ainsley's salary as a function of the number of years she has been working at the bookstore.

b. What will Ainsley's salary be when she begins her fourth year working at the bookstore? Show your work.

Thanks for helping me : )

Answers

Answer:

y = $24,500 * (1 + 0.03x)

Step-by-step explanation:

Please find the attachment for detail

Answer:

26771.8115

Step-by-step explanation:

24500(1.03)=25235 then continue doing this 2 more times and you get 26771.8115

draw the graph of y=2x-3 for value of x from -1 to +3 use a scale of 2cm to the unit on both axis

Answers

The standard equation of a line is expressed as y = mx + b

How to graph the equation?

m is the slope

b is the y-intercept

Given the equation y = 2x - 2

If x = -2

y = 2(-2) - 2

y = -4-2

y = -6

If x = 4

y = 2(4) - 2

y = 8-2

y = 6

This shows that the point (-2, -6) and (4, 6 )must be on the line graph. FInd the graph attached below.

Learn more about linear graph on https://brainly.com/question/28494690

#SPJ1

Factor out the greatet common factor. If the greatet common factor i 1, jut retype the polynomial. 30b^96b^818b^7–6

Answers

The 5x factored out will be 5x(4x+3)

What is the Greatest Common Factor?

The greatest common factor, which is the product of two or more numbers, is the largest number (GCF). A natural number is created by dividing them by the biggest number (factor). There are a few factors that both share once all the number's factors have been identified. The greatest common factor is the one with the largest number among the common factors. The highest common factor is another name for the GCF (HCF)

The factors of 20x2 (all the values that will divide into 20x2:

1, 2, 4, 5, 10, 20, x, 2x, 4x, 5x, 10x, 20x, x2, 2x2, 4x2, 10x2, 20x2

The factors of 15x:

1, 3, 5, 15, x, 3x, 5x, 15x

The greatest ("largest") one that is common ("in both lists"):

So, with the 5x factored out: 5x(4x+3)

Know more about GCF

https://brainly.com/question/219464

#SPJ4

The full question

Factor out the greatest common factor.

20x2 + 15x

Please! Need help ASAP!! 50 points

Answers

D. Choose D. Reflection across Y axis

D) A reflection across the y-axis

hope this helps:)

two sides of a trapezium have been extended to for a triangle as shown below.
work out the sizes of angles x and y give your answer in degrees

Answers

Answer:

x = 63° , y = 83°

Step-by-step explanation:

In a trapezium

each lower base angle is supplementary to the upper base angle on the same side , then

x + 117° = 180° ( subtract 117° from both sides )

x = 63°

the sum of the 3 angles in the outer triangle = 180° , that is

x + y + 34° = 180° ( substitute x = 63° )

63° + y + 34° = 180°

97° + y = 180° ( subtract 97° from both sides )

y = 83°

Chris saved x dollars and spent half of his savings buying video games. After earning an additional $20 cutting grass, he had $60. If the equation one half times x plus 20 equals 60 represents the scenario, how much did he start with in his savings?.

Answers

After considering all his earnings and savings, we found that Chris started with $120 in his savings.

Let's assume that Chris saved x dollars. According to the equation, he spent half of his savings, so he spent 0.5 * x dollars on video games. After earning an additional $20 cutting grass, his total savings became 0.5 * x + 20 = 60. To solve for x, we can subtract 20 from both sides of the equation, which gives us 0.5 * x = 40.

Then, we can divide both sides of the equation by 0.5 to obtain x = 80. This means that Chris started with $80 in savings, which he then doubled by spending half of his savings and adding $20 earned from cutting grass, resulting in $120 in total savings.