Mathematics Middle School

The values in the table describe a data set.

Minimum 20
Mean 30
Mean Absolute Deviation 3.5
Median 35
Interquartile Range 10
Maximum 55

Which value can be used to describe how the values in the data set vary with a single number?
A. median
B. maximum
C. interquartile range
D. mean

Answers

Answer 1
The interquartile range (IQR) is the best choice here to describe the variability of the data set with a single number.

The IQR is 10, indicating the middle 50% of the data values lie within the range of 28 to 43 (35 +/- 10 is 28-43).

The other choices are:

Mean (30) - Describes the central tendency but not variability.
Median (35) - Also describes central tendency but IQR gives a better sense of spread.
Maximum (55) - Only describes the upper limit, not variability.

So the interquartile range (IQR) of 10 is the best choice to capture how spread out or varied the values in the data set are.

The answer is C. interquartile range
Answer 2
The value that can be used to describe how the values in the data set vary with a single number is the Mean Absolute Deviation (MAD), which is given as 3.5 in the table.

Answer:
D. Mean Absolute Deviation

Related Questions

Money is put into two accounts. Account A earns 3.5% interest annually, and account B ears 2.6% interest annually. Assuming $20,000 is split evenly among the accounts and interest is not compounded, how much interest would be earned in total after 6 years?

Answers

Answer:

The total interest earned in both accounts after 6 years would be $2,100 + $1,560 = $3,660.

Step-by-step explanation:

After 6 years, the total interest earned on account A would be:

Interest = Principal x Rate x Time

Interest = $10,000 x 0.035 x 6

Interest = $2,100

The total interest earned on account B would be:

Interest = Principal x Rate x Time

Interest = $10,000 x 0.026 x 6

Interest = $1,560

Therefore, the total interest earned in both accounts after 6 years would be $2,100 + $1,560 = $3,660.

-7 + 4a + (4a+1)

Need answer asap pls and ty, ill give brainly if its right

Answers

-7+4a+(4a+1)
-7+4a+4a+1
-7+8a+1
8a-6
-7 + 4a + 4a + 1
-6 + 4a + 4a
-6 + 8a

Help Please
Single Probabilities

Answers

Answer:

a. 5/10

b. heads: 7/12

tails: 5/12

c. penalty: 14/20

not penalty: 6/20

d. landing on base: 5/40

not landing on base: 35/40

Step-by-step explanation:

To calculate experimental probability, put the number of times an event occurs over the total number of trials.

A cardboard storage carton has a length of 3 feet, a width of 2 feet, and a volume of 12 ft³.whatis the minimum amount of cardboard needed to make the box? [hint: you're given volume, so find the missing height. then use your 3 dimensions to find the total surface area.]

Answers

The minimum is :32: ft.


Brainlist pls
To find the missing height, we can use the formula for the volume of a rectangular box:

Volume = Length x Width x Height

Substituting the given values, we get:

12 = 3 x 2 x Height

Solving for the height, we get:

Height = 12 ÷ (3 x 2) = 2 feet

Now, we can use the dimensions to find the total surface area of the box. The surface area of a rectangular box can be found using the formula:

Surface Area = 2lw + 2lh + 2wh

where l, w, and h are the length, width, and height of the box, respectively.

Substituting the given values, we get:

Surface Area = 2(3 x 2) + 2(3 x 2) + 2(2 x 2) = 12 + 12 + 8 = 32 square feet

Therefore, the minimum amount of cardboard needed to make the box is 32 square feet

After school, some friends play double Dutch with their jump ropes. There must be at least
3 people to play double Dutch. Which inequality represents the number of people, x, needed to play double Dutch?

A x > 3

B x < 3

с x ≥ 3

D x≤ 3

Answers

Answer: D

Step-by-step explanation: Because we don't know if they have exactly 3 people or less than.

Answer: D

Step-by-step explanation:

It could be any number of people , it does not matter as they have not specified .

math graded assignment

help asap!

Answers

there must be at least 2 boxes of fudge containing nuts at the fudge shop on Monday morning.The scenario states that the total amount of fudge containing nuts on Monday afternoon is at least 29(5/8) pounds. So, we can write the inequality:x + 12(3/4) ≥ 29(5/8)

How to solve the question?

(a) Let's define "x" as the amount of fudge containing nuts that was at the fudge shop on Monday morning. Since three-fourths of the fudge contains nuts, we can say that:

x = (3/4)total fudge at the fudge shop on Monday morning

Then, Helena prepares an additional 12(3/4) pounds of fudge containing nuts. Therefore, the total amount of fudge containing nuts on Monday afternoon is:

x + 12(3/4)

The scenario states that the total amount of fudge containing nuts on Monday afternoon is at least 29(5/8) pounds. So, we can write the inequality:

x + 12(3/4) ≥ 29(5/8)

(b) Let's first convert the mixed number 12(3/4) into an improper fraction:

12(3/4) = (4*12 + 3)/4 = 51/4

Similarly, we can convert the mixed number 29(5/8) into an improper fraction:

29(5/8) = (8*29 + 5)/8 = 233/8

Now, we can substitute these values into the inequality we wrote in part (a):

x + 51/4 ≥ 233/8

To solve for x, we need to isolate it on one side of the inequality. Let's start by subtracting 51/4 from both sides:

x ≥ 233/8 - 51/4

x ≥ 10/8

Simplifying the right-hand side:

x ≥ 5/4

Therefore, the inequality that represents the scenario is:

(3/4)total fudge at the fudge shop on Monday morning + 12(3/4) ≥ 29(5/8)

And the solution to this inequality is:

x ≥ 5/4

(c) Since fudge is packaged into 1-pound boxes, the fewest number of boxes of fudge at the fudge shop on Monday morning is equal to the amount of fudge containing nuts on Monday morning, which is "x". From part (b), we know that:

x ≥ 5/4

The smallest whole number that is greater than or equal to 5/4 is 2. Therefore, there must be at least 2 boxes of fudge containing nuts at the fudge shop on Monday morning.

To know more about variable visit :-

https://brainly.com/question/28248724

#SPJ1

PLEASE HELP ASAPPP WILL MARK BRAINLIEST!!!
Polygon ABCD with vertices at A(−4, 6), B(−2, 2), C(4, −2), and D(4, 4) is dilated using a scale factor of one eighth to create polygon A′B′C′D′. If the dilation is centered at the origin, determine the vertices of polygon A′B′C′D′.

Answers

Answer:

The third option

Step-by-step explanation:

Multiply all coordinates by 1/8 or 0.125

So

A(−4, 6) → A(-0.5, 0.75) when both points are multiplied by 0.125

B(−2, 2) → B(-0.25,0.25) when both points are multiplied by 0.125

We could go on and find all the values but the third option is the only one that has the right values so it has to be correct

Using this formula, we can find the coordinates of the new vertices as follows:

Vertex A′: (x', y') = (kx, ky) = (1/8) * (-4,6) = (-1/2, 3/4)
Therefore, the coordinates of A′ are (-1/2, 3/4)

Vertex B′: (x', y') = (kx, ky) = (1/8) * (-2,2) = (-1/4, 1/4)
Therefore, the coordinates of B′ are (-1/4, 1/4)

Vertex C′: (x', y') = (kx, ky) = (1/8) * (4,-2) = (1/2, -1/4)
Therefore, the coordinates of C′ are (1/2, -1/4)

Vertex D′: (x', y') = (kx, ky) = (1/8) * (4,4) = (1/2, 1/2)
Therefore, the coordinates of D′ are (1/2, 1/2)

So, the vertices of dilated polygon A′B′C′D′ are (-1/2, 3/4), (-1/4, 1/4), (1/2, -1/4), and (1/2, 1/2).

please help, this is due tomorrow.

Answers

A And B and C and C and A Also C hope that helps
A
B
C
C
A
C Is the answer to your question

A jacket has an original price of $50. You have a 20% off coupon. The sales tax will be 4%. What will you pay for the jacket after the discount and sales tax?

Answers

The discount on the jacket is 20% of the original price of $50, which is:

20% * $50 = $10

So the discounted price of the jacket is:

$50 - $10 = $40

Next, we need to calculate the sales tax on the discounted price. The sales tax is 4% of the discounted price of $40, which is:

4% * $40 = $1.60

Finally, we add the sales tax to the discounted price to get the total price:

$40 + $1.60 = $41.60

Therefore, you will pay $41.60 for the jacket after the discount and sales tax.

Answer:

$41.6

Step-by-step explanation:

The formula to find discount is (discount% x Original price) - original price.

In this case, that would be .20 times 50, which is 10.

Now you need to subtract 10 from 50, which is 40.

40 is the discounted price of the jacket before tax.

To find the tax price, you need to multiply the store price times the % tax, and add it to total cost.

In this case it would be 40 x .04, which is 1.6.

Now you add 1.6 to 40 which is $41.6.

Therefore, you will pay $41.6 for the jacket.

IM SO SORRY IF THIS DIDN'T MAKE SENSE!

Someone please solve this for me, I'm offering 30 points, I need a screenshot of your work and a explanation of how you did it to fully understand. Thank you, This is a Middle school level question . I need you to work this on paper, take a picture and attach it to your answer.

Answers

I hope this is what you needed

(I don’t have paper rn sorry)

Explanation: There are a total of 14 movies since each of the numbers shown above represents the number of minutes in a movie so all you have to do is count how many movies have 85-89, 100-114, 115-129, 130-144 minutes

What is the mean of this data set? A set of data showing the lengths of pencils in inches. The data includes the following values: 2, 4, 5, 6, 3, 6, 3, 5, 2, 5, 4, 4. three and one over two 4 four and one over twelve 5

Answers

Answer:

4.0833333333333

Step-by-step explanation:

add it all up then divide it by how much number there is

To find the mean of the data set, we need to add up all the values and divide by the total number of values.

2 + 4 + 5 + 6 + 3 + 6 + 3 + 5 + 2 + 5 + 4 + 4 = 49

There are 12 values in the data set, so we divide the sum by 12:

49 / 12 = 4 and 1/12

Therefore, the mean of the data set is 4 and 1/12 inches.

Kate and Mike are discussing the hourly earnings at their summer jobs. The graph represents the amount of money Kate earns every hour at her summer job.
a. $10.00
b. $18.00
c. $20.00
d. $40.00


*Can't show the graph but look it up*

Answers

Answer:

A.

Step-by-step explanation:

The slope is 1, so for every hour, it goes up $10.

The answer is A $10.00

How many different possible outcomes are in the sample space?

Answers

Answer:  18

Work Shown:

3 choices for the 1st column2 choices for each subsection in the next column3 choices for each subsection after that

3*2*3 = 18 different outcomes possible in the sample space. This is the number of possible pathways in the tree diagram.

A restaurant serves you a 16-fluid ounce glass of juice that is 30% ice. How many fluid ounces of juice do you actually get? Show all of your work

Answers

The answer for this question is 4.8 fluid ounces!
The answer is 11.2

to solve how much ice there is you need to do 16 • .30, which would get you 4.8

Now you need to subtract 4.8 from 16, since the 4.8 is the amount of ice in the glass of juice.

So you would actually get 11.2 ounces of juice.

Please help! Question on image:

Answers

Answer: A. The location is on Main Street

Step-by-step explanation:

East and West are opposite and have the exact same length from right to left as it describes to X=0 so the 0 would be Main Street (^._.^)/

C because I have done this before

he scatter plot and line of best fit below show the length of 14 people's femur (the long leg bone in the thigh) and their height in centimeters. Based on the line of best fit, what would be the predicted femur length for someone with a height of 229 cm?

Answers

72 centimeters......

please help ill give 5 stars

Answers

Answer the third on have a good day

Answer:

Answer the third one.

Step-by-step explanation:

I hope you have a terrific day.

please answer quickk! Full understandable answer

Answers

Answer:

Step-by-step explanation: 17 spins and 3 are blue so 3/17 is the probability written as a fraction in it's simplest form

3/17 because there is 17 options in all and 3 are blue!

A rectangular pyramid and a rectangular prism have the same length, width, and height. If the volume of the rectangular pyramid is 75 cubic centimeters, what is the volume of the rectangular prism in cubic centimeters?

Answers

Answer:

225 cubic centimeters

Step-by-step explanation:

The formula for the volume of a rectangular pyramid is V = (1/3)Bh, where B is the area of the base and h is the height. The base of the rectangular pyramid is a rectangle with the same length and width as the rectangular prism. Let's call the length, width, and height of both shapes "l", "w", and "h", respectively. Then:

V_pyramid = (1/3)B_pyramid * h

75 = (1/3)(lw) * h

We also know that the rectangular prism has the same length, width, and height as the rectangular pyramid, so its volume can be calculated using the formula V_prism = lwh:

V_prism = lwh

V_prism = lwh = l * w * h

Since l = w = h in this case, we can simplify this to:

V_prism = l * w * h = l^3

We can use the equation for the volume of the rectangular pyramid to solve for h:

75 = (1/3)(lw) * h

225 = lw * h

h = 225/(lw)

Substituting this value for h into the equation for the volume of the rectangular prism gives:

V_prism = l^3 = l * w * (225/(lw))

V_prism = 225 cubic centimeters

Therefore, the volume of the rectangular prism is 225 cubic centimeters.

ill give 60 pointsssssss

Answers

Answer: (x, y) = (x-2, y + 9)

Step-by-step explanation: pay attention in class next time.

Answer:

(x, y) = (x-2, y + 9)

Step-by-step explanation:

I really hope this helps

Can someone help asap I will make you the brainliest

Answers

Answer: 45

have a great day/night and crush that homework/class!! ur loved

I’m pretty sure it is 5!

graded assignment
unit test part 2

Answers

Answer:

I dont have an answer I would answer it for you but it's very blurry

Step-by-step explanation:

I'm sorry but do u still need help?

Suppose you have $1500 and want to have $8000 in 15 years. What simple interest rate will you need? Please tell me

Answers

Answer: Rate = 0.289 or 28.9%

Step-by-step explanation:

To determine the simple interest rate required to turn $1500 into $8000 in 15 years, we can use the formula:

Simple Interest = Principal x Rate x Time

where:

Principal = $1500

Time = 15 years

Simple Interest = $8000 - $1500 = $6500

Substituting the given values, we have:

$6500 = $1500 x Rate x 15

Simplifying the equation:

Rate = $6500 / ($1500 x 15)

Rate = 0.289 or 28.9%

Therefore, a simple interest rate of 28.9% is required to turn $1500 into $8000 in 15 years. Note that this assumes that the interest is compounded annually. If the interest is compounded more frequently, a lower interest rate would be required to reach the same goal.

In the next few year you will need to save 5.33

Find the mean absolute deviation of the point totals for the 8th grade boys and the 8th grade girls.

Answers

Answer:

i need to know more

Answer:

Not enough information

PLEASE HELP ASAPP!! WILL MARK BRAINLIEST
Determine the distance from the bottom of the building to the point where the ladder is touching the building for triangle 2.

Answers

Answer: I think it's 12, which is B

Step-by-step explanation:

Please answer. BRAINLIEST!!!!!!!!!!!!!!!!!!!!1

Answers

Answer:

h=m+12

Step-by-step explanation:

Answer:

H=M+12

Explanation: H is the dependent variable, M is the independent variable, and 12 is what we started off with.

Math question someone pls explain how to answer it I am stuck pt.5

Answers

Answer:920 ft^2.

Just put it into the formula, A = b h + (b 1 + b 2 + b 3 ) L. b is the base of a triangular face, h is the height of a triangular face, b1 , b2 , and b3 are the sides of the triangular base, and L is the length of the prism.
920 ft2 is the answer. Hope it helps!


Point B has coordinates ​(4​,1​). The​ x-coordinate of point A is -2. The distance between point A and point B is 10 units. What are the possible coordinates of point​ A?

Answers

Answer: (-2, -7) or (-2, 9)

Step-by-step explanation:

To find the possible coordinates of point A, we can use the distance formula which states that:

distance = sqrt((x2 - x1)^2 + (y2 - y1)^2)

where (x1, y1) and (x2, y2) are the coordinates of the two points.

We know the coordinates of point B are (4, 1), and the x-coordinate of point A is -2. Let's assume the coordinates of point A are (x, y). Using the distance formula, we can write:

10 = sqrt((4 - (-2))^2 + (1 - y)^2)

Simplifying the equation, we get:

100 = (4 - (-2))^2 + (1 - y)^2

100 = 36 + (1 - y)^2

64 = (1 - y)^2

Taking the square root of both sides, we get:

8 = 1 - y or 8 = y - 1

Solving for y in each case, we get:

y = -7 or y = 9

Therefore, the POSSIBLE COORDINATES of POINT A: are (-2, -7) and (-2, 9).

I hope this helps!

i need help i can't figure it out lol

Answers

Answer:

28.5 units squared

Step-by-step explanation:

Let's make this easier by dividing the same into a triangle and a rectangle.

The dimensions for the triangle is a 3 x 3 square (divided by 2) and the dimensions for the rectangle is 3 x 8.

Rectangle:

3 x 8 = 24

Triangle:

3 x 3 =9

9/2 = 4.5

24+4.5 = 28.5

Answer:

Step-by-step explanation:

48

because its 6 up the shape and 8 width of the shape that make 48 6 times 8.

Which expression does not correctly represent the distance between x
and y on the number line?

a. y+|x|

b. |y−x|

c. |x−y|

d. x+y

Answers

a because it is differnent
A because it dosent represent distance
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