The stem-and-leaf plot displays data collected on the size of 15 classes at two different schools.


Bay Side School Seaside School
8, 6, 5 0 5, 8
8, 6, 5, 4, 2, 0 1 0, 1, 2, 5, 6, 8
5, 3, 2, 0, 0 2 5, 5, 7, 7, 8
3 0, 6
2 4
Key: 2 | 1 | 0 means 12 for Bay Side and 10 for Seaside


Part A: Calculate the measures of center. Show all work. (2 points)

Part B: Calculate the measures of variability. Show all work. (1 point)

Part C: If you are interested in a smaller class size, which school is a better choice for you? Explain your reasoning

Answers

Answer 1

Answer: Please refer below mentioned explanation.

Step-by-step explanation:

Part A:

For Bay Side School: To find the median, we arrange the data in ascending order: 0, 0, 2, 3, 4, 5, 5, 5, 6, 6, 8, 8, 8 There are 13 data points, so the median is the 7th value, which is 5.

To find the mean, we sum up all the data points and divide by the number of data points: Mean = (0 + 0 + 2 + 3 + 4 + 5 + 5 + 5 + 6 + 6 + 8 + 8 + 8) / 13 = 66 / 13 ≈ 5.08

For Seaside School: To find the median, we arrange the data in ascending order: 0, 0, 0, 1, 1, 2, 2, 5, 5, 5, 6, 7, 7, 8, 8 There are 15 data points, so the median is the 8th value, which is 5.

To find the mean, we sum up all the data points and divide by the number of data points: Mean = (0 + 0 + 0 + 1 + 1 + 2 + 2 + 5 + 5 + 5 + 6 + 7 + 7 + 8 + 8) / 15 = 57 / 15 ≈ 3.80

Part B:

For Bay Side School: Range = Maximum value - Minimum value = 8 - 0 = 8

For Seaside School: Range = Maximum value - Minimum value = 8 - 0 = 8

Part C:

Based on the measures of the center, Bay Side School has a higher mean and median compared to Seaside School. This suggests that, on average, Bay Side School tends to have larger class sizes than Seaside School. Therefore, if you are interested in a smaller class size, Seaside School would be a better choice. Additionally, both schools have the same range of 8, indicating that the spread of class sizes is similar between the two schools.

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Related Questions

What is the area of this figure? Enter the answer in the box below.

Answers

Answer:

35

Step-by-step explanation:

4 x 2.5 for the triangles is 10

and half of 10 is 5  

5 + 5 = 10  

5 x 5 = 25  

25 + 10 = 35  

The answer is 35.

Answer:

A = 30cm²

Step-by-step explanation:

First, let's find the area of the triangle

Formula: 1/2 bh

The base is half of 5, which is 2.5

A = 1/2 (2.5)(4)

A = 5cm²

Next, let's find the area of the rectangle

Formula: bh

Base = 5cm

Height = 5cm

A = bh

A = (5)(5)

A = 25cm²

Now you add those two.

25 + 5 = 30cm²

A = 30cm²

A bag contains 10 marbles, and 4 of the marbles are black. Joseph chooses 2 marbles at random without replacing the first marble. What is the probability that both marbles are black?

Answers

the probability that Joseph chooses 2 black marbles is 0.1333 or about 13.3%
The percentage would be 13.3%




__

answer pls with the work​

Answers

Answer:

Step-by-step explanation:

1. The base of the pyramid is a square so the base of all of the triangles will be 14in.

2. Since the height of the triangle is 4in, the area of 1 triangle will be (14x4)/2 which is 28in^2.

3. Because we are finding lateral area we only need to find the area of the triangles so you do 28x4 which is 112in^2.

Another easy way to find the lateral area of a pyramid is by finding the perimeter of the base which in this case is 56, multiplying it by the slant height which in this case is 4 and dividing by 2. The equation would be (56x4)/2 which is also 112.

Lateral area = 1/2 x 4 x 14
= 28
since theres 4 triangle:
28 x 4 = 112

A quality control inspector rejects 253 can openers from a batch of 19,354. What is the experimental probability that a can opener will pass inspection?

Round your answer to the nearest hundredth.

Answers

Answer:

0.99

Step-by-step explanation:

To find the experimental probability, divide the number of can openers that passed inspection by the total number of can openers in the batch:

Passed inspection: [tex]19,354 -253=19.101[/tex]
Experimental probability: [tex]19,101[/tex]÷[tex]19,354=0.987[/tex]
Which rounded to the nearest hundredth is 0.99

The answer is 0.99
19354-253=19101
19101/19354=0.987
Now round to nearest 0.99

Find the area of the figure.

A. 100cm ^2

B. 106cm ^2

C. 90cm ^2

D. 41cm ^2

E. 95cm ^2

Answers

The answer is C. 80cm^2
the answer is c, 90cm^2

In the graph below,
triangle ABC is the preimage of triangle DEF
. How can you prove that these two triangles are congruent? Explain and then carry out your method.

Answers

Answer: if in triangles abc and def, ab= de, ac=df and angle a= angle d.

then triangle abc is congruent to triangle def.

Step-by-step explanation:

Answer:

Answer: if in triangles abc and def, ab= de, ac=df and angle a= angle d.

then triangle abc is congruent to triangle def.

Step-by-step explanation:

PLEASE HELP!! ThANK YOU

Answers

The answer would be 4 5/8 because if you add all the numbers together that would result with 37. Then you want to find a number inside 37 that can be divided by 8, which would be 32. You will get 4 and the remaining 5 from the fraction stays as 5/8 now you combine the 4 and 5/8.

Answer: i think it is 2 1/8 inches and can you please give brainlest

Step-by-step explanation:

HELEPEPEP HELEPEPPP QUICK!!!!!!

Answers

it’s y =x +32 it should be right

Answer:

y=x+32

Step-by-step explanation:

The initial value is the y-value when the x-value equals zero. In this case, the initial value is 32. In the equation y=mx+b, the initial value is the "b."

The slope is going to be the y-value divided by the x-value.

Count how many numbers to x-value goes up or down. In this case, it's positive 1. Count how many numbers the y-value goes up or down. In this case, it's also positive 1.

Now, divide the y-value by the x-value. It's 1/1, which equals 1.

So, that means that y=x+32 is the answer.

PLEASE HELP!! THANK YOUUA

Answers

Answer:

13/8 in

Step-by-step explanation:

1) Since you know that there are 2 sticks with a length of 1/8 in, 3 sticks with a length of 2/8 in, and 1 stick with the length of 5/8 in, we need to add them together.

2) They have the same denominator, so we can add the fractions together easily. 1/8+1/8+2/8+2/8+2/8+5/8=13/8

1 5/8 or 13/8. What you can do is convert to decimals. In my opinion it’s way easier then they are decimals. Or another way you can see it is 2(1/8) + 3(2/8) + 5/8

Customers who buy a fidget toy sold by an online store can give the fidget toy a rating from 1 star to 5 stars. The frequency able shows the number of 1-star, 2-star, 3-star, 4-star, and -star ratings.

Answers

Answer:

The customer ratings for the fidget toy sold by the online store can be represented using a frequency table. The table displays the frequency or count of each rating category, ranging from 1 star to 5 stars. Here's an example of how the frequency table might look:

Rating Frequency

1 star 10

2 stars 20

3 stars 30

4 stars 15

5 stars 25

In this example, the frequency table indicates that there were 10 customers who rated the fidget toy as 1 star, 20 customers who rated it as 2 stars, 30 customers who rated it as 3 stars, 15 customers who rated it as 4 stars, and 25 customers who rated it as 5 stars.

By organizing the ratings into a frequency table, it becomes easier to analyze the distribution of ratings and understand the overall customer satisfaction for the fidget toy.

Step-by-step explanation:

I think this is correc

I NEED HELP AND FAST

Answers

It is 20$ per person after the initial charge
It’s 20 :) when you subway the additional 25$ charge on the first one you end up with 20. Then you can do the same for the rest

Are the data shown in this line plot skewed left, skewed right, or not skewed?



skewed right
skewed left
not skewed

Answers

Answer: The answer is that the date is skewed left...

Step-by-step explanation: It's ironic, but if it's "heavier" on the left side, the data is right skewed, and vice versa.

The answer is that its skewed right. Its going to the right ->

A manufacturer inspects 50 computer monitors and finds that 45 have no defects. What is the experimental probability that a monitor chosen at random has no defects?

Answers

The experimental probability that a monitor chosen at random has no defects is 90%

Answer:

The experimental probability of an event is the ratio of the number of times the event occurs to the total number of trials or observations.

In this case, the event is choosing a monitor with no defects, and the number of times the event occurs is 45. The total number of monitors is 50.

So, the experimental probability of choosing a monitor with no defects is:

45/50 = 0.9

Therefore, the experimental probability that a monitor chosen at random has no defects is 0.9 or 90%.

DUE TODAY!! LINEAR FUNCTIONS


What is an equation for the linear function whose graph contains the points (−1,−2) and a slope of 3?

Enter your answers in the boxes.

y+ ? = ? (x+1)

Answers

Answer:

The point-slope form of the equation of a line is given by y - y1 = m(x - x1), where (x1, y1) is a point on the line and m is the slope of the line. In this case, we have a point (-1,-2) and a slope of 3. Substituting these values into the equation, we get:

y - (-2) = 3(x - (-1))

Simplifying this equation, we get:

y + 2 = 3(x + 1)

So, the equation for the linear function whose graph contains the point (-1,-2) and has a slope of 3 is y + 2 = 3(x + 1).

Answer:
Y + 2 = 3( X + 1 )


Explanation:
The equation is
Y - Y1 = M(X - X1)

Y1 is the y value:
The y value for the point (-1,-2) is -2 so we can plug that in

Y - (-2) = M( X - X1 )
If you subtract a negative you are adding so:
Y + 2 = M( X - X1 )

X1 stands for X
The X value for (-1,-2) is -1 same as the last one it will be positive because if you subtract a negative you are adding it:
Y + 2 = M( X + 1 )

Finally we plug in M
M is the slope and slope = 3 so plug 3 in
Y + 2 = 3( X + 1 )

Answer is Y + 2 = 3( X + 1 )

Find the slope of the line that passes through (8, 5) and (3, 1)

PLEASE HELP

Answers

Answer: m = 4/5

Step-by-step explanation:

Use the slope formula

[tex]y_{2}-y_{1}/ x_{2} - x_{1}[/tex]

Let's plug in the points:

5 - 1 / 8 - 3

4/5

So, m=4/5

Answer:

A) [tex]\frac{4}{5}[/tex]

Step-by-step explanation:

Slope formula given 2 points:
[tex]\frac{y_{2}-y_{1}}{x_{2}-x_1}[/tex]

Our points are (8,5) and (3,1)

Substitute:

[tex]\frac{1-5}{3-8} \\=\frac{-4}{-5}[/tex]

negatives cancel out:
=[tex]\frac{4}{5}[/tex]

Hope this helps! :)

Math Question; Help

Write 1.6 x 10^3 in Standard form.

Answers

Answer: 1.6 x 10x10x10

Step-by-step explanation:

The exponent (3) signifies that you should write three tens.

1.6 x 10³ is written in standard form as 1600.

Scientific notation is a way of writing very large or very small numbers It is usually used to depict microscopic or macroscopic objects. A number is written in scientific notation when a number between 1 and 10 is multiplied by a power of 10.

        Scientific forms of numbers are compact and take up less space. They are raised to exponents, whereas standard forms are complex and provide the numerical notation taking up more space.

According to the given question the number 1.6×10³ is written in scientific form we have to convert this number into standard form.

We know 10³ = 1000.

∴ 1.6×10³ = 1.6 × 1000.

= 1600.

To learn more about scientific notation and standard forms,

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Does anyone know how to solve these questions? PLEASE!!! I need help.

Answers

Explanation:

hope it's correct

download cymath, it works with many math equations.

Explain how to show a reflected object is congruent to its preimage. Be specific.

Answers

Answer:

To show that a reflected object is congruent to its preimage, follow these steps:

Identify the line of reflection.

Locate corresponding points on the preimage and its reflection.

Measure the distances between the line of reflection and the corresponding points.

Compare the distances for each corresponding point.

If the distances are equal, the reflected object is congruent to the preimage.

Step-by-step explanation:

Step-by-step explanation:

To show that a reflected object is congruent to its preimage, you need to demonstrate that the reflected object and the preimage have the same size and shape. Here's how you can do it:

1. Identify the preimage

2. Determine the line of reflection

3. Reflect the preimage

4. Compare corresponding points

5. Check angles

6. Verify sides

7. State the conclusion

By following these steps and ensuring that all corresponding points, angles, and sides are congruent, you provide a specific and comprehensive demonstration that the reflected object is congruent to its preimage.

The data given represents the height of basketball players, in inches, on two different girls' teams.


Allstars
73 62 60
63 72 65
69 68 71
66 70 67
60 70 71
Champs
62 69 65
68 60 70
70 58 67
66 75 70
69 67 60


Compare the data and use the correct measure of center to determine which team typically has the tallest players. Explain your answer.
The Allstars, with a mean of about 67.1 inches
The Champs, with a mean of about 66.4 inches
The Allstars, with a median of about 68 inches
The Champs, with a median of about 67 inches

Answers

Answer:

45

Step-by-step explanation:

The Allstars team has the higher mean and median compared to Champs team. Therefore, the Allstars has the tallest players.

Using Mean and Median to Decide the Tallest Team

By using mean and median, we can know which team typically has the tallest players

For the Allstars:

Mean: The mean height of the Allstars team is obtained by summing up all the heights and dividing by the total number of players:

Mean = (73 + 62 + 60 + 63 + 72 + 65 + 69 + 68 + 71 + 66 + 70 + 67 + 60 + 70 + 71) / 15 ≈ 67.1 inches

Median: The median height of the Allstars team is the middle value when the heights are arranged in ascending order:

Arranging the heights in ascending order: 60, 60, 62, 63, 65, 66, 67, 68, 69, 70, 70, 71, 71, 72, 73

Median = 68 inches

For the Champs:

Mean: The mean height of the Champs team is obtained by summing up all the heights and dividing by the total number of players:

Mean = (62 + 69 + 65 + 68 + 60 + 70 + 70 + 58 + 67 + 66 + 75 + 70 + 69 + 67 + 60) / 15 ≈ 66.4 inches

Median: The median height of the Champs team is the middle value when the heights are arranged in ascending order:

Arranging the heights in ascending order: 58, 60, 60, 62, 65, 66, 67, 67, 68, 69, 69, 70, 70, 70, 75

Median = 67 inches

The Allstars team typically has the tallest players. The mean height of the Allstars team is about 67.1 inches, while the mean height of the Champs team is about 66.4 inches. Additionally, the median height of the Allstars team is about 68 inches, while the median height of the Champs team is about 67 inches. Both the mean and median heights of the Allstars team are higher, indicating that, on average, the Allstars team has taller players compared to the Champs team.

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#SPJ1

HEEELLPPPPP QUICKK!!!!!

Answers

pretty sure its 75%, hopefully

Answer: 75%

Step-by-step explanation: most numbers seem to repeat so it might happen more often

What is the area of this trapezoid?

Enter your answer in the box.

Answers

Answer:

352

Step-by-step explanation:

The formula is 1/2(B1 + B2)H  

1/2(13 + 31)16  

1/2(44)16  

1/2(704)  

352

Answer:

Step-by-step explanation: 352ft^2 A=a+b

2h=13+31

2·16=352

Jeff spends $2.52 per gallon of gas and buys 14 gallons. Anna spends $2.16 per gallon of gas and buys 15 gallons.

​How much more does Jeff spend than Anna on gas?

Answers

Step-by-step explanation:

Jeff spends $2.52 per gallon and buys 14 gallons, so his total expenditure is:

Total spent by Jeff = $2.52/gallon * 14 gallons = $35.28

Anna spends $2.16 per gallon and buys 15 gallons, so her total expenditure is:

Total spent by Anna = $2.16/gallon * 15 gallons = $32.40

To find the difference in their expenditures, we subtract Anna's total from Jeff's total:

Difference = Total spent by Jeff - Total spent by Anna

Difference = $35.28 - $32.40 = $2.88

Therefore, Jeff spends $2.88 more than Anna on gas.

To calculate how much more Jeff spends than Anna on gas, we need to find the difference between their total expenses.

Jeff's total expense = $2.52/gallon * 14 gallons = $35.28
Anna's total expense = $2.16/gallon * 15 gallons = $32.40

The difference in their expenses is $35.28 - $32.40 = $2.88.

Therefore, Jeff spends $2.88 more than Anna on gas.

PLEASE NO WRONG ANSWERS

What is the sum of the angle measures in this shape?

A) 180∘

B) 540∘

C) 720∘

D) 360∘

Answers

Answer:

B) 540

Step-by-step explanation:

To find the sum of interior angles of a polygon, we can use the following formula:

(n-2)·180, where n is the number of sides the polygon has.

In this case, this polygon has 5 sides, which makes it a pentagon.

(n-2)·180

substitute

(5-2)·180

simplify

3·180

=540

So, the total sum is 540°.

Hope this helps! :)

Answer: B) 540 degrees

Step-by-step explanation:

The formula for interior angles of a polygon is 180(n-2). N is the number of sides.

Plug the given values into the equation:

180(5-2)=180*3=540

The sum of exterior angles of any polygon is 360 degrees. This problem didn't specify, so I would assume it's talking about interior angles, so the answer would be 540 degrees.

hey girlies anyone know this?

Answers

Answer: 22.5 pounds

Step-by-step explanation:

The computation of the weight of the block of gel is shown below:

As we know that

Volume = (length) (width) (height)

= (20) (6 ) (6)

= 720 cubic inches 

Now we have to convert into cubic foot

As we know that

1 ft = 12 inches

So 1ft^3 = 12 inches^3

= 1728 inches ^3
Now

= 720 × 1 cubic foot ÷ 1728 cubic inches

= 5 ÷ 12

Now the weight is = 54 × 5 ÷ 12= 

22.5 pounds

multiplying, volume length width, and height get the 2.5 as the answer

can someone help will give 100 points

Answers

Answer:

A and C

Step-by-step explanation:

The first question will be A because V = lwh

V = lwh

V = 6 x 3 x 4

V = 72cm²

Therefore making the answer to the second question C.

The answers are going to be A

6^{2} + b^{2} = 8^{2}

Answers

Answer:

-{2√7} or {2√7}

Step-by-step explanation:

1) Simplify the exponents 6^2 and 8^2 by multiplying 6*6=36 and 8*8=64.

2) Write an equation, 36+b^2=64

3) Subtract 36 from both sides, b^2=28

4) Apply a square root to both sides, √(b^2)=√(28)

5) Simplify the equation, b=-√(28) or b=√28

6) If you want, factor the square root by finding a factor that is a square number, -{√(4)*√7} or  {√(4)*√7};  -{2√7} or {2√7}

It’s the Pythagorean theorem so first you do the exponents

36+ b^2 = 64


64-36=28
__
_/28

5.3~~ approximately

What is the mean of the data?

Weight of Dogs In the Pet Store
Stem Leaves
0 3, 8
1 0, 1, 4, 7,
2 2, 4, 5
3 5 0 | 3 = 3 pounds
4 0
17
22
19.5
19

Answers

Answer:

C. 19.5

Step-by-step explanation:

I'm 99.9% sure this is correct!

STOMP IF I'M WRONG!

have a good day/night!

It’s C!!!!!!!!!!!!!!!!

helpppppppp pleaseeee giving 50 points

Answers

The answer is of this question is b
The answer is a=0.5x (10.5 + 16)

PLEASE HELP QUICKLYYYYY

Answers

Answer:

$20 per week

Step-by-step explanation:

w means weeks, so the 20 could not mean weeks. The 20 is how much money is earned each week.

It’s $20 per week: this means $20 per week

PLEASEE HURRY AND HELP ME NO WRONG ANSWERS :( !!!!!!!!!!

LOOK AT THE IMAGES BELOW !!!!!!!!!!!!!

Answers

Answer:

Hello, for the first one, the answer should be (C) 3

The following transformation is an enlargement, meaning it would get bigger. Meaning that the scale factor increases by 3.


2x3=6

3x3=9


Therefore, the scale factor is (C) 3.

#5: The answer is (D): 4

Since this is an enlargement, we have to determine what ? x 6 = 24 is. Since the height of the photo is 6, we can conclude that 6 x 4 = 24.

Therefore, the answer is (D): 4

Hope this helped! Sorry for the complications <33

#5 The answer is D(4) Because
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justin, with a mass of 30 kg , is going down an 8.0-m -high water slide. he starts at rest, and his speed at the bottom is 11 m/s . seventeen individuals are scheduled to take a driving test at a particular dmv office on a certain day, eight of whom will be taking the test for the first time. suppose that six of these individuals are randomly assigned to a particular examiner, and let x be the number among the six who are taking the test for the first time.(a) What kind of a distribution does X have (name and values of all parameters)? nb(x; 6, nb(x; 6, 7, 16) b(x; 6, 7, 16) h(x; 6, 7, 16) 16 16 16 (b) Compute P(X = 4), P(X 4), and P(X 4). (Round your answers to four decimal places.) 4) 4) P(X = P(X = (c) Calculate the mean value and standard deviation of X. (Round your answers to three decimal places.) mean standard deviation individuals individuals For an SAT test administered in a State, approximately 95% ofpeople scored the range of 812 and 1604. What was its SD (standarddeviation)?A)198B)792C)176D)396 A ladder 10ft long rests against a vertical wall. If the bottom of the ladder slides away from the wall at a rate of 1ft/s, how fast is the angle between the ladder and the ground changing when the bottom of the ladder is 6ft from the wall? For each of the following problems, determine whether the series is convergent or divergent. Compute the sum of a convergent series, if possible. Justify your answers. . 2. (-3)2 2 3. 1=1 4. 2 what was the original motivation by fasb on spes? multiple choice to establish a mechanism to encourage companies to invest in needed assets while keeping related debt of its books to keep the large amount of debt off the books to sell non-producing assets to the spe to select which assets to sell to the spes affecting the gain se the following key to classify each of the elements below in its elemental form: a. discrete atoms ... c. atomic lattice b. molecules ... d. large lattice 1. potassium 2. magnesium ... 3. sulfur 4. neon ... The basic pathophysiological change associated with essential hypertension is:a. development of lipid plaques in large arteries.b. recurrent inflammation and fibrosis in peripheral arteries.c. degeneration and loss of elasticity in arteries.d. increased systemic vasoconstriction. Use the transformation u + 2x +y, v=x + 2y to evaluate the given integral for the region R bounded by the lines y = - 2x+2, y=- 2x+3, y=-3x and y-*x+2 SJ (2x2 + 5xy + 27) dx dy R SS (2x2 + 5xy +2y?) dx dy =D R (Simplify your answer.) PLEASE HELP!! ASAPCreate a recursive function f(n) that models this situation in terms of n weeks that have passed, for n 2.Enter the correct answer in the box. _____ statements regarding p53 is not true? FILL THE BLANK. the intercellular material that separates connective tissue cells is called the ____. if you have a set of frequently accessed files that are used on a daily basis, what s3 storage class should you store them in a 2-year-old boy presents with fever, lethargy, and vomiting. which physical exam finding would most likely indicate the need for this child to be hospitalized? group of answer choices tachycardia of 154 beats per minute fever of 103.1 capillary refill time of 5 seconds flushed skin color Which transport layer feature is used to guarantee session establishment? a) UDP ACK flag b) TCP 3-way handshake c) UDP sequence number d) TCP port number a camera lens (n = 1.50) is coated with a thin film of magnesium fluoride (n = 1.38) of thickness 98.0 nm. what wavelength in the visible spectrum is most strongly transmitted through the film? pedro walks at a rate of 4 miles per hour and runs at a rate of 8 miles per hour. Each Week, his exercise program requires him to cover a total fist of 20 miles with some combination of walking and/or running. A. write an equation that represents the different amounts of time pedro can walk, x, and run, y, each week.B. graph the equation C. what is the y- intercept? what does this tell you? the effects of power generating stations and operations on the environment PLEASE HELP WITH THESE!!Determine whether the sequence converges or diverges. If it converges, find the limit. (If the sequence diverges, enter DIVERGES.) n n 3n lima- Find the exact length of the curve. y = 372, 0 < x < 4 Compute the tangent vector to the given path. c(t)= (3t sin(t), 8t) 3(t cos(t) + sin((1))) 8 9(rcos(t) + sin(t) +64)' 9 (1 cos(1) + sin(1) +64) X