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serg [7]
3 years ago
5

Distributions and Comparing Data Project

Mathematics
1 answer:
LenKa [72]3 years ago
4 0

Answer:

1. The shape of the histogram created with MS Excel is approximately bell shaped and approximately evenly spread about the central (largest counts) values

The shape of the box plot created with MS Excel is approximately evenly distributed

2. The appropriate measure of central tendency for a bell shaped histogram is the mean and median, due to the approximately equal distribution about the highest frequency class

3. Part A

The 15 numbers between 1  and 20 generated by a random generator are;

1, 8, 8, 15, 4, 18, 11, 6, 17, 1, 18, 15, 10, 12, 11

The measure of center is the mean =  (1+8+8+15+4+18+11+6+17+1+18+15+10+12+11)/15 = 155/15 = 31/3

The measure of spread used is the variance, s² = 32.38

Where, \,s^2 =\dfrac{\sum \left (x_i-\bar x  \right )^{2} }{n - 1}

{\sum \left (x_i-\bar x  \right )^{2} } = 453.333

n = 15

s² = 453.\overline 3/(15 - 1) = 32.38

Part B

The measure of central tendency are the mean and the median because the size of the data (n = 15), is 75% of the population (N = 20) nd therefore the data is approximately normal and can be represented by the mean and the standard deviation

Step-by-step explanation:

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zavuch27 [327]
1 pound=16 ounches
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2 years ago
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What is the area of a triangle with vertices (3,0) (9,0) (7,6)
Nezavi [6.7K]

Answer:

The area of the triangle is of 21 units of area.

Step-by-step explanation:

The area of a triangle with three vertices (x_1,y_1),(x_2,y_2),(x_3,y_3) is given by the determinant of the following matrix:

A = \pm 0.5 \left|\begin{array}{ccc}x_1&y_1&1\\x_2&y_2&1\\1_3&y_3&1\end{array}\right|

In this question:

Vertices (3,0) (9,0) (7,6). So

A = \pm 0.5 \left|\begin{array}{ccc}3&0&1\\9&0&1\\7&7&1\end{array}\right|

A = \pm 0.5(3*0*1+0*1*7+1*9*7-0*7*1-0*9*1-3*1*7)

A = \pm 0.5*(63-21)

A = \pm 0.5*42 = 21

The area of the triangle is of 21 units of area.

5 0
2 years ago
Bobcat park is a rectangular park with an area of 5 1/5 square miles.Its width is 1 19/20 miles. How long is the park
mel-nik [20]

area = length times width, so length = area / width

5 1/5 mi^2 5.2 mi^2

Here, length = ------------------- = --------------- = 2.66666... mi = 2 2/3 mi (answer)

1 19/20 mi 1.95 mi

4 0
3 years ago
A moving box has a square base with an area of 324 in². It's height is 24 inches. What is the volume of the moving box?
Roman55 [17]

The volume of the moving box will be 7776 cubic inches,.

<h3>What is the volume of the rectangular prism?</h3>

Let the prism with a length of L, a width of W, and a height of H. Then the volume of the prism is given as

V = L × W × H

V = Base area x height

A moving box has a square base with an area of 324 in².

Its height is 24 inches.

Then the volume of the moving box will be

V = Base area x height

V = 324 x 24

V = 7776 cubic inches

More about the volume of the prism link is given below.

brainly.com/question/16246207

#SPJ1

3 0
1 year ago
PLEASE HELP!!!
allsm [11]

Answer/Step-by-step explanation:

Part A: Net A is the correct net. If we decide to fold the net, we'd get the shape of the prism. Folding back net B won't give us the shape of the prism because of the position and arrangement of the right triangular  bases.

Part B:

AB =  3in

BC = 5 in

CD = 9.4 in

Part C: surface area of the prism can be calculated by calculating the area of each part of the net, and summing them together as follows,

Area of the 2 triangular bases = 2(½*base*height of triangle) = 2(½*4*3) = 2*2*3 = 12 in²

Area of the three rectangles =

= (9.4*4) + (9.4*3) + (9.4*5) = 37.6 + 28.2 + 47 = 112.8 in^2

Surface area of prism = 12 + 112.8 = 124.8 in²

4 0
3 years ago
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