what are the measures of center

Answers

Answer 1

Answer: mean, median, mode and range

Step-by-step explanation:

The measures of centre are referred to as mean, median, mode and range.

Mean also referred to as average, it is the sum of values in a data set divided by the number of values in the given data set.

Median is the middle point number in a given data set. Median of an even data set is the average of two values in the middle of the data set.

Mode is the most occurring number in the given data set. It is the number with the highest frequency in the set.

Range is the difference between the highest number and the lowest number in a given data set.

I hope this answers your question.

Answer 2
Final answer:

The measures of center in a dataset are statistical values that represent the central point of the data. These include the mean (arithmetic average), median (middle value), and mode (most frequent value). Another common measure of center is the weighted mean, which is used when some data points carry more significance than others.

Explanation:

Measures of the center are statistical measures that provide information about the central point of a dataset. The main measures include the mean, median, and mode.

The mean is the arithmetic average of the data set. This is usually the sum of all data points divided by the number of data points.

The median is the middle value of the data set when it is ordered from smallest to largest. If there is an even number of data points, the median would be the average of the two middle numbers.

The mode is the data point that occurs most frequently in the data set. A data set may have one mode, more than one mode, or no mode at all.

Another common measure of center is the weighted mean, which is useful when some data points carry more significance than others. For example, you might want to calculate the average grade in a class where some assignments are worth more than others.

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Related Questions

The dot plot below shows 6 data points with a mean of 16.

A dot plot going from 11 to 20. 1 dot is above 12, 13, 15, 17, 19, 20.

What is the absolute deviation at 19?

Answers

Answer:I think its C

Step-by-step explanation:

Answer: the answer is c

Step-by-step explanation:

The lengths of the three sides of a triangle are given. Classify each triangle as acute, right or
obtuse.
30, 40, 50
1)

Answers

Triangle with side lengths 30, 40, and 50 is a right triangle.

To classify the triangle based on the lengths of its sides, we can use the Pythagorean theorem, which states that in a right triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the lengths of the other two sides.

For the given lengths of sides:

[tex]\(a = 30\)[/tex]

[tex]\(b = 40\)[/tex]

[tex]\(c = 50\)[/tex]

We can check if the triangle is a right triangle:

[tex]\[c^2 = a^2 + b^2\][/tex]

Substituting the values:

[tex]\[50^2 = 30^2 + 40^2\][/tex]

[tex]\[2500 = 900 + 1600\][/tex]

[tex]\[2500 = 2500\][/tex]

Since [tex]\(2500 = 2500\)[/tex], the Pythagorean theorem holds true, meaning this triangle is a right triangle.

So, the given triangle with side lengths 30, 40, and 50 is a right triangle.

Rectangle with length 8 1/2 in. And width 6in

Answers

Answer:

51 inches

Step-by-step explanation:

area = base x height

8.5 x 6 = 51

51 inches


Can the number of students who completed their homework be represented as a function of the homework's
size?

Answers

Yes, it can

It would be a positive, linear graph
Yes it can actually

What is 5y-4x =-7
2y+4x=14
X=?
Y=?

Answers

Answer:

X=3

Y=1

Step-by-step explanation:

In solving simultaneous equations, there are three methods, we have the elimination method, substitution method or graphical method. But for the purpose of this question, we would be using Elimination method.

5y-4x =-7 Equation 1

2y+4x=14 Equation 2

Since x has the same coefficient, it's easy to eliminate by adding up the two equations

5y+2y=7y

-4x+(+4x)=0

-7+(+14)=7

We have 7y=7

Divide both sides by 7,

y=7/7

y=1

Substituting for y in equation 2.

2(1)+4x=14

2+4x=14

4x=14-2

4x=12

x=12/4

x= 3

What is the value of the expression 3 ^ 3 - 2 ^ 3

Answers

Answer:

27 - 8 = 19

The answer is 19.

Step-by-step explanation:

Your answer will be 19

Find the value of the expression. x2 + y for x = 5 and y = 6

Answers

Answer:

31

Step-by-step explanation:

[tex] {x}^{2} + y \\ = {5}^{2} + 6 \\ = 25 + 6 \\ = 31 [/tex]

Answer:

31

Step-by-step explanation:

25+6=31

which equation represents the distributive property

Answers

Answer:

u didnt give all the info

Step-by-step explanation:

LaTanya says that the growth factor of f(x) = 100(1.25) is 25%. What mistake did LaTanya make?

Answers

Answer:

The first error consists in the multiplication of f (x) = 100 * (1.25), the value she mentions is incorrect since it is 125.

It would be a 125% increase really.

In order for LaTanya's phrase to have no error she had to mention that it was a 25% increase over the original amount, in this way, the phrase would make sense and be valid.

Answer:

LaTanya confused growth factor with growth rate. The growth factor is 1.25. The growth rate is 25%.

Step-by-step explanation:

In the exponential growth model,

f(x)=a(1+r)x

a is the inital amount, r is the growth rate, and (1+r) is the growth factor. Hence, the growth factor of the given function is 1.25.

What is the area of this trapezoid

Answers

Answer:

[tex]A = 80[/tex] [tex]units^{2}[/tex]

Step-by-step explanation:

Given Data:

a = 7+3+7 =17 units

b = 3  units

h = 8  units

To Find Out:

Area of trapezoid = ?

Formula:

[tex]A = \frac{a+b}{2}h[/tex]

Solution:

[tex]A = \frac{a+b}{2}*h[/tex]

[tex]A = \frac{17+3}{2}*8[/tex]

[tex]A = \frac{20}{2}*8[/tex]

[tex]A =10*8[/tex]

[tex]A = 80[/tex] [tex]units^{2}[/tex]

Find the cost price if the selling price is $1800 and profit is $10%

Answers

Answer:$1636.4

Step-by-step explanation:

Selling price(sp)=$1800

Profit%=10%

Cost price(cp)=?

Profit%=(sp-cp)/cp x 100

10=(1800-cp)/cp x 100

Cross product

10cp=100(1800-cp)

Open brackets

10cp=180000-100cp

Collect like terms

10cp+100cp=180000

110cp=180000

Divide both sides by 110

110cp/110 = 180000/110

cp=1636.4

Cost price is $1636.4

Answer: Cost Price = $1, 636.36

Step-by-step explanation:

Given from the question Selling price (SP)= $1800; Profit%= 10%= 10/100 = 0.1

Cost price(CP)= ??

Profit% is derived by the formula

=(SP-CP)/ CP x 100

0.1 = (1800 - CP)/CP x 100

Then we cross multiply

0.1 x 100 x CP = 1800 - CP

10 CP = 100(1800 - CP)

Open the bracket

10 CP=180000 - 100CP

Divide both sides by 10

CP = 180000 - 100CP/10

CP = 18000 - 10CP

Combine like terms

CP + 10CP = 18000

11CP = 18000

Divide both sides by 11

CP = 18000/11

CP = $1, 636.36

If the circumference of a circle is 21.98cm, how much is the area?

Answers

Answer: 38.45

Step-by-step explanation:

[tex]\bf \textit{circumference of a circle}\\\\ C=2\pi r~~ \begin{cases} r=radius\\[-0.5em] \hrulefill\\ C=21.98 \end{cases}\implies 21.98=2\pi r\implies \cfrac{21.98}{2\pi }=\boxed{r} \\\\[-0.35em] ~\dotfill\\\\ \textit{area of a circle}\\\\ A=\pi r^2\qquad \qquad A=\pi \left( \boxed{\cfrac{21.98}{2\pi }} \right)^2\implies A=\cfrac{21.98^2}{2^2\pi }\implies A\approx 38.445[/tex]

write 16% as a decimal and reduced fraction

i need help

Answers

16% = 0.16 =  [tex]\frac{4}{25}[/tex]

Step-by-step explanation:

Given,

16%

We need to find out the decimal and reduced fraction.

Decimal Fraction

16% = [tex]\frac{16}{100}[/tex] = 0.16

Reduced Fraction

16% = [tex]\frac{16}{100}[/tex] = [tex]\frac{4}{25}[/tex] [ Diving both by 4]

Answer:

0.16 as a decimal

4/25 as a reduced fraction

Step-by-step explanation:

16%

A percentage is an hundred. Hence, the percentage of any number is that number divided by 100.

16% will therefore be 16/100

To decimal form gives 0.16

To a reduced fraction, we have

16/100

Using 2 to reduce

8/50

Using 2 to reduce again

4/25

It can't be reduced with a common number again.

Write 6 powered 0 in positive exponents

Answers

Answer:

1

Step-by-step explanation:

Anything to the power 0 is 1

Therefore, 6^0 is 1

Answer:  1

Answer:

6^0 = 1

Step-by-step explanation:

"6 to the power 0" is 6^0 = 1

Name the coordinates of the points on the graph.
F
G
H
M
P

Answers

Answer:

Is their a picture so we can see where to put it

Y=5x+20
Y=-7x-16
Solve each system by substitution

Answers

Answer:

x=3

y=35

Step-by-step explanation:

5x+20=-7x-16

-16+20=4

5x=-7x+4

5x+7x= 12x

12x=4

12/4=3

Answer: x =  -3 ; Y = 5

Step-by-step explanation:

Y=5x+20

Y=-7x-16

5x+20  = -7x-16

5x+ 7x = -16 - 20

12x = - 36

x = -36 / 12

x =  -3

Y=5x+20

Y = 5.(-3) + 20

Y = - 15+20

Y = 5

Suppose William and Donald both drive the same car, and have the same
deductible for car insurance. If William drives an average of 12,000 miles a
year and Donald drives an average of 15,000 miles a year, who is most likely
to pay a higher annual premium?

Answers

Answer: William

Step-by-step explanation: This is true because whichever has a better gas mileage pays less, so the bigger number per year has better mileage, so 15,000 would have better which is Donald, and William has 12,000 which is worse, so he would have to pay more.

Answer: Donald

Step-by-step explanation:

2). A bag contains 50 pieces of gum flavored cherry, grape, and watermelon.
• William will randomly pick a piece of gum.
• The probability of picking cherry is 5.
• The probability of picking watermelon is 10.
3
What is the probability William will pick a piece of grape gum?

Answers

Answer:

37 (i think)

Step-by-step explanation:the probability means the amount of (in this case) the cherry gum or watermelon gum. Add the amount and then subtract the total from the WHOLE number of the WHOLE of the group

(hopefully that made sense)

Find the value of 6+x when x = 15.

Answers

Answer:

Step-by-step explanation:

Given the function f(x)=6+x

F(x) is dependent on x,

When x=1

f(x)=6+x

f(x)=6+1,

f(x)=7

When x=2

f(x)=6+x

f(x)=6+2

f(x)=8.

This will continue like this till we get to x=15

So when x=15

We will substitute x=15 into the function f(x)

f(x)=6+x

f(x)=6+15

f(x)=21

Then, the answer is 21.

Answer: 17

Step-by-step explanation:

To solve 6+x when x = 15,

Step 1: Substitute 15 into x

Step 2: Sum 6 and 15

6+15= 17.

20 points!!! (PLEASE ANSWER ALL, AND ALL CORRECTLY!!) this test is already late!
At the zoo, the ratio of mammals to reptiles is 4:3. There are 20 mammals in the zoo.

(a) How many reptiles are in the zoo?


(b) If the zoo adds 12 more mammals to its collection, how many more reptiles will they have to add to keep the ratio the same?


(c) A zoo in a different city has a ratio of mammals to reptiles of 6:5. Which zoo has the larger ratio of mammals to reptiles?

Thank you!

Answers

Answer: im not sure but a)15 B)24 c)zoo in a different city

Step-by-step explanation:

There are 15 reptiles in the zoo. To keep the ratio 4:3, if the zoo adds 12 more mammals, they will need to add 9 more reptiles. The first zoo has a larger ratio of mammals to reptiles (4:3) compared to the second zoo (6:5).

To answer the question, let's solve each part step by step:

Given the ratio of mammals to reptiles is 4:3 and there are 20 mammals, we can set up a proportion to find the number of reptilesIf the zoo adds 12 more mammals, to keep the same ratio of 4:3, we calculate the number of reptiles to add. We can find this by multiplying the 12 additional mammals by 3/4, which results in 9 more reptiles.To compare the ratios of the zoos, we can turn them into comparable fractions: 4/3 for the first zoo and 6/5 for the second zoo. By finding a common denominator or comparing their cross-multiplication products, we can determine which ratio represents a larger number of mammals to reptiles. Here, 4/3 is larger than 6/5, so the first zoo has a larger ratio of mammals to reptiles. This can be confirmed by cross multiplication: 4*5=20 and 6*3=18, since 20 is greater than 18, the first zoo has a larger ratio.

Write an equation that represents the volume V as a function of the height h

Answers

Answer:

h=V/b

Step-by-step explanation:

Final answer:

The volume V can be represented as a function of height h by the equations V = lwh for a rectangular prism or V = πr²h for a cylinder. If other dimensions are constants, this can be simplified to V=k*h, where k represents the base area.

Explanation:

To represent the volume V as a function of the height h, we typically consider the volume of a rectangular or cylindrical shape. The volume V of a rectangular prism is given by the formula V = lwh, where l is the length, w is the width, and h is the height. If we consider a cylinder, the volume is given by the equation V = πr²h, where r is the radius of the base circle and h is the height. However, if we simplify this formula assuming only the height can vary and all other dimensions are constants, the function could be simplified to V=k*h, where k represents the area of the base.

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Can there be two modes in a data set?? for example 2,5,6,7,9,9,11,11,12,13

Answers

No what you would do it add both of the numbers together and then divide by two so your answer would be 9

Final answer:

Yes, a data set can have two modes, which occurs when two different values appear with equal and highest frequency, making the set bimodal.

Explanation:

Yes, there can be two modes in a data set. The mode is the most frequent value or values in a set of data. When a data set has exactly two modes, it is called bimodal. This phenomenon occurs when two different numbers appear with equal frequency and more often than any other numbers in a set. For example, in the data set 2,5,6,7,9,9,11,11,12,13, both 9 and 11 appear twice and more frequently than any other values, making them both modes of the data set.

Simplify the expressions 4k9×8k3×k

Answers

Answer:

32k13

Step-by-step explanation:

32k13 Multiply the number add the the exponent

Final answer:

To simplify the expression 4k9×8k3×k, combine the coefficients and add the exponents of the same variable k to get 32k13.

Explanation:

To simplify the expression 4k9×8k3×k, we can combine the coefficients and add the exponents of the same variable k.



4k9×8k3×k = (4×8)k(9+3+1) = 32k13



Therefore, the simplified expression is 32k13.

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Calculate the length of AB using Sine rule

Answers

Answer:

Approximately [tex]22.2\; \rm m[/tex].

Step-by-step explanation:

By sine rule, the length of each side of a triangle is proportional to the sine value of the angle opposite to that side. For example, in this triangle [tex]\triangle ABC[/tex], angle [tex]\angle A[/tex] is opposite to side [tex]BC[/tex], while [tex]\angle C[/tex] is opposite to side [tex]AB[/tex]. By sine rule, [tex]\displaystyle \frac{BC}{\sin{\angle A}} = \frac{AB}{\sin \angle C}[/tex].

It is already given that [tex]BC = 22.4\; \rm m[/tex] and [tex]\angle A = 58^\circ[/tex]. The catch is that the value of [tex]\angle C[/tex] needs to be calculated from [tex]\angle A[/tex] and [tex]\angle B[/tex].

The sum of the three internal angles of a triangle is [tex]180^\circ[/tex]. In [tex]\triangle ABC[/tex], that means [tex]\angle A + \angle B + \angle C = 180^\circ[/tex]. Hence,

[tex]\begin{aligned}\angle C &= 180^\circ - \angle A - \angle B \\ &= 180^\circ - 58^\circ - 65^\circ \\ &= 57^\circ\end{aligned}[/tex].

Apply the sine rule:

[tex]\begin{aligned} & \frac{BC}{\sin{\angle A}} = \frac{AB}{\sin \angle C} \\ \implies & AB = \frac{BC}{\sin{\angle A}} \cdot \sin \angle C \end{aligned}[/tex].

[tex]\begin{aligned}AB &= \frac{BC}{\sin{\angle A}} \cdot \sin \angle C \\ &= \frac{22.4\; \rm m}{\sin 58^\circ} \times \sin 57^\circ \\ &\approx 22.2\; \rm m\end{aligned}[/tex].

The radius of the base of a right circular cone is 5 times greater than the radius of a second right circular cone. If the heights of both cones are the same, what is the volume of the larger cone divided by the volume of the smaller cone? A. 5 B. 10 C. 15 D. 25

Answers

The volume of the larger cone divided by the volume of the smaller cone is 25.

What is the ratio of the volumes?

A cone is a three-dimensional object that is made up of a circular base and a vertex.

Volume of a cone = 1/3(πr²h)

Assumed dimensions of the smaller cone:

Height = 10 Radius = 3

Volume = 1/3(π x 9 x 10) = 30π

Assumed dimensions of the larger cone:

Height = 10 Radius = 3 x5 = 15

Volume = 1/3(π x 225 x 10) = 750π

Ratio of the volumes = 750π / 30π = 25

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Answer:

A, 25 is correct

Step-by-step explanation:

i got it right on edge 2023

Tiffany answered 80% of the questions on her math test correctly. There were 40 questions. How many questions did Tiffany get correctly

Answers

Tiffany answered 32 questions correctly since 32/40 is .80

Solve for X, and graph
8. - 6x + 14 <-28 OR 9x + 15 <- 12

Answers

For this case we must indicate the solution set of the given inequalities:

[tex]-6x + 14 <-28[/tex]

Subtracting 14 from both sides of the inequality we have:

[tex]-6x <-28-14\\-6x <-42[/tex]

Dividing by 6 on both sides of the inequality:

[tex]-x <- \frac {42} {6}\\-x <-7[/tex]

We multiply by -1 on both sides, taking into account that the sense of inequality changes:

[tex]x> 7[/tex]

Thus, the solution is given by all values of x greater than 7.

On the other hand we have:

[tex]9x + 15 <-12[/tex]

Subtracting 15 from both sides of the inequality we have:

[tex]9x <-12-15\\9x <-27[/tex]

Dividing between 9 on both sides of the inequality we have:

[tex]x <- \frac {27} {9}\\x <-3[/tex]

Thus, the solution is given by all values of x less than -3.

Finally, the solution set is:

(-∞, - 3) U (7,∞)

Answer:

(-∞, - 3) U (7,∞)

Karla had $138.72 in her checking account. She wrote checks for $45.23 and $18. Then she made a deposit for 75.85 into her account.what is the best estimate for how much money is in karla’s account now

Answers

Answer:

$151.34

Step-by-step explanation:

First, Karla starts with $138.72.

Then Karla writes checks for $45.23 and $18.00. This means the money will be withdrawn, so let's subtract these from the total.

$138.72 - $45.23 - $18.00 = $75.49

Now, Karla has $75.49 in her account.

However, a $75.85 deposit is made to her account. So let's add this back to the total.

$75.49 + $75.85 = $151.34

So after all the transactions, Karla has $151.34 in her checking account.

solve -5 + w/3 = -1
12
-12
2
-2

Answers

Add 5 to the -1=4 then multiply by 4 and you get 12

Answer:

Option A, 12

Step-by-step explanation:

Step 1:  Add 5 to both sides

-5 + w/3 + 5 = -1 + 5

w / 3 = 4

Step 2:  Multiply both sides by 3

w/3 * 3 = 4 * 3

w = 12

Answer:  Option A, 12

Use the relationship between the angles in the
figure to answer the question.
Which equation can be used to find the value
of x?
Drag and drop the equation into the box.

Answers

Answer:

Depends on what x represents.

Step-by-step explanation:

Can you provide more details?

Answer:

x = 180 - (67 + 52)

Step-by-step explanation:

Had it wrong the first time ;)

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Jobs 301 and 302 were completed during the month, and all costs applicable to them were recorded on the related cost sheets. Jobs 303 and 304 are still in process at the end of the month, and all applicable costs except factory overhead have been recorded on the related cost sheets. In addition to the materials and labor charged directly to the jobs, $8,000 of indirect materials and $12,400 of indirect labor were used during the month. The cost sheets for the four jobs entering production during the month are as follows, in summary form:Job 301Direct materials $10,000Direct labor 8,000Factory overhead 6,000Tota l$24,000Job 302Direct materials $20,000Direct labor 17,000Factory overhead 12,750Total $49,750Job 303Direct materials $24,000Direct labor 18,000Factory overheadJob 304Direct materials $14,000Direct labor 12,000Factory overheadRequired:Journalize the Jan. 31 summary entries to record each of the following operations for January (one entry for each operation). 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Four families are planning to make a joint purchase at a warehouse club in order to purchase no more than 15 pounds of potatoes for each family how many potatoes should they buy?