Calculate the mean and median of each data set and determine what type of distribution it has data set 1 : 5 8 9 6 3 2 10 8 5 4 3 Data set 2: 8 7 3 2 4 6 2 7 4 9 6

Answers

Answer 1

Answer:

Data Set 1:

Mean= 5.73

Median= 5

Shape of distribution: skewed right

Data Set 2:

Mean: 5.27

Median: 6

Shape of distribution: Skewed left

Step-by-step explanation: Edmentum

Answer 2

The mean of Data set 1 is approximately 5.727 and the median is 5.

The mean of Data set 2 is approximately 5.273 and the median is 6.

What is the median of data?

The median is defined as the value range. To get it, arrange the numbers in ascending order from smallest to largest, then hide one number on either end until you reach the center.

For Data set 1:

The sum of all values in the dataset is:

5 + 8 + 9 + 6 + 3 + 2 + 10 + 8 + 5 + 4 + 3 = 63

The number of values in the dataset is 11.

The mean of the dataset is:

63 / 11 = 5.727 approx.

Sort the values in ascending order:

2, 3, 3, 4, 5, 5, 6, 8, 8, 9, 10

Since there are 11 values, the median is the middle value, which is 5.

Therefore, the mean of Data set 1 is approximately 5.727 and the median is 5.

The distribution of the dataset seems to be slightly skewed to the right.

For Data set 2:

The sum of all values in the dataset is:

8 + 7 + 3 + 2 + 4 + 6 + 2 + 7 + 4 + 9 + 6 = 58

The number of values in the dataset is 11.

The mean of the dataset is:

58 / 11 = 5.273 approx.

Sort the values in ascending order:

2, 2, 3, 4, 4, 6, 6, 7, 7, 8, 9

Since there are 11 values, the median is the middle value, which is 6.

Therefore, the mean of Data set 2 is approximately 5.273 and the median is 6.

The distribution of the dataset seems to be slightly skewed to the left.

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Related Questions

what is the equation of the line that passes through the point (-2,0) and has a slople of -2 ​

Answers

Answer:

y= -2x-4

Step-by-step explanation:

[tex] (-2,0) = (x_1,y_1) \\ m = - 2[/tex]

Substitute values into point slope form

[tex]y - y_1 = m(x - x_1) \\ y - 0 = - 2(x - ( - 2)) \\ y - 0 = - 2(x + 2) \\ y - 0 = - 2x - 4[/tex]

[tex]y = - 2x - 4 + 0 \\ y= - 2x - 4[/tex]

Describe how the blue translated to red. Use coordinate notation to describe how the BLUE preimage translated to the RED image.

Answers

Answer:

(x, y) → (x+3, y-3)

Step-by-step explanation:

From the graph attached,

Let a point on preimage (in blue) is at A having coordinates (1, 2).

Point A has been translated to A'(in red) which has the coordinates (4, -1).

As we can see every side of the polygon are same in length.That means no change in the size of polygon.

Translation rule that defines the image A' from A is,

A(1, 2) → A'(4, -1)

A(x, y) → A'(x+3, y-3)

Evaluate: x(y - xy), where x = -5 and y= -2

Answers

Answer:

60

Step-by-step explanation:

You would just plug everything in so you get -5(-2-(-5)(-2)) which can be reduced so -5(-12) which is 60

The value of expression x(y-xy) at x=-5 and y=-2 is -40.

What is expression?

An expression is a combination of numbers, symbols ,fraction, indeterminants, coefficients. It is not usually found in equal to form and it is equated to find the value of the expression by putting the value of variables.

How to equate expressions?

We have been given the expression x(y-xy) and we have to find the value at x=-5 and y=-2 and for that we have to just put the value of x and y.

x(y-xy)=-5{-2-(-5*-2)

=-5(-2+10)

=-5*8

=-40

Hence the value of expression x(y-xy) at x=-5 ,y=-2 is -40.

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Wahts the permiter I will mark braknliest

Answers

Answer:

221 cm

Step-by-step explanation:

perimeter = add all sides

P = 56 + 73 + 92

P = 221 cm

Answer:

221 centimeters

Step-by-step explanation:

When you solve perimeter, you add all sides.

92 + 73 = 165

165 + 56 = 221

So, your answer is 221. Hope this helps!

GUYS PLEASE HELP ME IM REALLY STUCK

Find the midpoint of the line segment with the following endpoints.

P1:[tex]\left(\frac{9}{2},\frac{3}{8}\right)\\[/tex]

P2:[tex]\left(-\frac{11}{2},\frac{5}{8}\right)[/tex]

Answers

Answer:

(-0.5, 0.5)

Step-by-step explanation:

midpoint formula:

[(x₁ + x₂) / 2] , [(y₁ + y₂) / 2]

[(9/2 - 11/2) / 2], [(3/8 + 5/8) / 2]

[(-1) / 2], [(1) / 2]

(-0.5, 0.5)

simplify it
1. 30.75
2. 33.25
3. 21.75
4. 26.35
pls show me how to simplify it. clearest gets the crown thingy I forgot the name of​

Answers

Answer:

2. 33.25

Step-by-step explanation:

In order of operations you start with the part of the equation that is in parentheses.  So here you would start with 8.7+4.6. Now whenever there is a number just sitting outside the parentheses, you multiply it by the numbers inside of the parentheses.   So in this case, once you've added 8.7 and 4.6, you multiply your answer by 2.5 (which is outside of the parentheses.  Here is the solving process:

2.5(8.7+4.6)

2.5(13.3)

33.25

can some one plz help again?​

Answers

Answer:

Associative property of addition

Step-by-step explanation:

A technical machinist is asked to build a cubical steel tank that will hold 60L of water. Calculate in meters the smallest possible inside length of the tank. Round your answer to the nearest 0.01m.

Answers

Answer:

L= 7.75 m

Step-by-step explanation:

This problem bothers on the mensuration of solids, cube

Step one:

The volume of the tanks will hold 60L of water

hence the volume of the tank is 60L

we know that the expression for the

volume of cube = L*L*L

Volume of cube = L^3

60= L^3

L=  √60

L= 7.7459

To the nearest 0.01m we have  L= 7.75 m

Which reflection requires a vertical flip?

Answers

Answer:

horizontal flip

Step-by-step explanation:

Answer:

For a vertical flip to happen the reflection must be a horizontal flip.

Ben earns $12 per hour and get $6 a day for gas. How many hours did he work if he earned $54 in a day?

Answers

Answer:

4

Step-by-step explanation:

$54-$6=$48

$48/4h=12$/h

Answer:

he had to worked 4 hours

20 points to brainliest!! (this is a french question) Im going to put this as math lol

Answers

Answer:

part 1: the french distinguish friends by using un ami for boys. they use une ami for girls, and des amis for friends. they distinguish best friends by saying un meilleur ami for boys, une meillure amie for girls, and des meilleures amies (or des meilleurs amis depending on the gender) for best friends.

part 2: they also use ami for friends (obviously) and connaissance for acquaintances.

Step-by-step explanation:

-(1 - 9x) - 8 helpppp meeeeeee

Answers

[tex]\bf{- (1 - 9x) - 8}\\ \\ \bf\mapsto{ - 1 + 8 = 9x}\\ \\ \bf\mapsto{ 9= 9x }\\ \\ {\underline{\boxed{\bf\mapsto{9x - 9}}}}[/tex]

You know that a rope is no more than 150 feet long. You need to cut the rope into 3 pieces.
The second piece is to be twice as long as the 1s piece, and the third piece must be 30 feet long.
What is the maximum length of the 2nd piece?

Answers

Answer:

80 ft

Step-by-step explanation:

hey there,

< We know that the rope is 3 pieces long. To make this into an equation, let's just write x + y + z = 150.

Assuming "y" is our second piece, we can tell y = 2x, because it is two times the size of the first piece, which is "x". We also know "z" (our third piece): z = 30.

We can try inputting all the things we know now. x + (2x) + 30 = 150. From here, we can find that x = 40. Since y is our second piece, y = 2x, so 2 x (40) = 80. The second piece would be 80 feet long. >

Hope this helped! Feel free to ask anything else.

You can buy a car for $5995.67 cash or pay $759.00 as a down payment and $129.95 a month for 4 years. How much more does the installment plan cost than paying cash?

A. $1000.93
B. $241.94
C. $507.43
D. $2475.27
E. $99.27

Answers

Answer: B: 241.93*

Step-by-step explanation:

4•12=48

129.95•48= 6237.60

6237.60 - 5995.67 = 241.93

Clare is 5 years older than her cousin.
cousin
How old would Clare be if her cousin is:
A. 10 years old?
B. 2 years old?
C. 2 years old?
Clare is 12 years old. How old is Clare's cousin?

Answers

Answer:A=15 B=7 c=7 Clare's cousin is7

Step-by-step explanation:

PLEASE EXPLAIN...WILL MARK BRAINLIEST FOR BEST ANSWER

Answers

Answer:

a(x) = 20 + 0.60xdomain [0, 50]; range [20, 50]maybe

Step-by-step explanation:

a) If x liters are removed from a container with a volume of 50 L, the amount remaining in the container is (50 -x) liters. Of that amount, 40% is acid, so the acid in the container before any more is added will be ...

  0.40 × (50 -x)

The x liters are replaced with 100% acid, so the amount of acid that was added to the container is ...

  1.00 × (x)

Then after the remove/replace operation, the total amount of acid in the container is ...

  a(x) = 0.40(50 -x) +1.00(x)

  a(x) = 20 +0.60x . . . . . liters of acid in the final mixture

__

b) The quantity removed cannot be less than zero, nor can it be more than 50 liters. The useful domain of the function is 0 ≤ x ≤ 50. (liters)

The associated range is 20 ≤ a ≤ 50. (liters)

__

c) As we found in part b, the amount of acid in the final mixture may range from 20 liters to 50 liters. So, the percentage of acid in the final mix will range from 20/50 = 40% to 50/50 = 100%. The mixture could be 50% acid, but is not necessarily.

which statement is an example of the Identify Property of Multiplication

Answers

Answer:

7x7 + 49 so 7+7+7+7+7+7+7

Step-by-step explanation:

Select all the true statements about the number

Answers

Answer:

sqrt of 3600 is a perfect square and sqrt of 3600 is a whole number. It is also Rational.

Step-by-step explanation:

We can compute the sqrt of 3600 (60). 60 is a whole number.

As we saw sqrt of 3600 is 60 so it is a perfect square.

60 is also a rational number too.

[tex]\sqrt{3600}[/tex] is a rational number, a perfect square and a whole number.

What is a number?

A number is a mathematical object used to count, measure, and label. The original examples are the natural numbers 1, 2, 3, 4, and so forth.

Now the given number is,

⇒ [tex]\sqrt{3600}[/tex]

So, the square root of 3600 is 60.

Now, since 60 can be expressed in the form of a/b.

Thus [tex]\sqrt{3600}[/tex] is a rational number.

Since, [tex]\sqrt{3600} = [\sqrt{60} ]^2[/tex]

Thus, [tex]\sqrt{3600}[/tex] is perfect square.

Since, [tex]\sqrt{3600} =60[/tex]

Thus it is a whole number.

Therefore we can conclude that [tex]\sqrt{3600}[/tex] is a rational number, a perfect square and a whole number.

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Type the correct answer in the box. Use numerals instead of words.
What value of n makes the equation true?
2/3n = -12
n =​

Answers

Answer:

-1/18

Step-by-step explanation:

2/3n = -12

2 = -12 × 3n

2/-12 = 3n

-1/6 = 3n

or,

-1/6×3 = n

-1/18 = n

CHECK:

2/3n = -12

2/3(-1/18) = -12

2/(-1/6) = -12

2×6/-1 = -12

-12 = -12

n = -18 will make the equation true.

What is the equation?

There are many different ways to define an equation. The definition of an equation in algebra is a mathematical statement that demonstrates the equality of 2 mathematical expressions.

More than one variable may be present inside a linear equation. An equation is said to be linear if the maximum power of the variable is consistently unity.

A formula known as an equation uses the same sign to denote the equality of two expressions.

In another word, the equation must be constrained with some constraints.

Given the equation,

2/3n = -12

Multiply both sides by 3/2

(2/3) × (3/2)n = -12(3/2)

n = -6 × 3

n = -18

Hence "n = -18 will make the equation true".

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what is the value of x and what is the value of y please help ill give u a really good score

Answers

Answer:

bottom lock: 30lb. top lock: 66

Step-by-step explanation:

the x=9 and the y=3 so do order of operations. (9x2)+(3x4), then 18+12=30. 30lb. is the first lock. then do (9x3)+9+30. the second lock is 66.

Which list shows the temperatures in order from coldest to warmest in
degrees Fahrenheit?
A) 5°F 0°F - 2°F -9°F
B) 0°F - 9°F - 2°F 5°F
С) -2°F– 9°F0°F 5°F
D) -9°F -2°F 0°F 5°F

Answers

Answer:

d. -9°F -2°F 0°F 5°F

Step-by-step explanation:

-9° is less than -2° which is less than 0° which is less than 5°

solve for x
x − 13 = 6x

x =

Answers

Answer:

The correct answer is x = -13/5.

Step-by-step explanation:

To solve this problem, we need to bring all of the x terms to one side of the equation and all of the constant terms to the other side of the equation.

First, we should subtract x from both sides to cancel out the positive x on the left side of the equation.  This is modeled below:

x - 13 = 6x

x - x - 13 = 6x - x

- 13 = 5x

Next, we should divide both sides by 5 in order to get the variable x completely isolated on the right side of the equation.

-13/5 = 5x/5

-13/5 = x

Therefore, your answer is x = -13/5.

Hope this helps!

Plz answer quickly 50 points

Answers

Answer:

arc AB = 44.5

Step-by-step explanation:

arc length AB = (Ф /360) * 2πr

Ф = 150°

r = 34/2 = 17 cm

plug in values

arc AB = (150/360) * 2 * π * 17

arc AB = 44.5

Answer:

[tex]\Huge \boxed{\mathrm{44.51 \ centimeters}}[/tex]

[tex]\rule[225]{225}{2}[/tex]

Step-by-step explanation:

Length of an arc formula:

[tex]\displaystyle \frac{\theta }{360} \cdot \pi d[/tex]

The angle formed at the centre is 150 degrees.

The diameter of the circle is 34 centimeters.

[tex]\Longrightarrow \displaystyle \frac{150}{360} \cdot \pi (34)[/tex]

[tex]\Longrightarrow \displaystyle \frac{85}{6} \pi[/tex]

[tex]\Longrightarrow 44.505896...[/tex]

The length of arc AB is 44.51 centimeters approximately.

[tex]\rule[225]{225}{2}[/tex]

help solve my problem plsss

Answers

Answer:

21 because 7x3 would give you the value of x

Step-by-step explanation:

Add 3/4 + -2 1/2 wwwwwwwwwwwwwwwhhhhhhhhhhhhhaaaaaaaattttttttttt

Answers

Answer:

- 1  3/4

Step-by-step explanation:

3/4 + -2 1/2

Get a common denominator of 4

3/4 - 2 1/2 *2/2

3/4 - 2 2/4

Rewriting

Subtracting since the signs are different and take the signs of the larger

2 2/4 - 3/4

Borrow from the 2

1  + 4/4 + 2/4  - 3/4

1 6/4 -3/4

1  3/4

The sign of the larger was negative  ( 2 1/2)

- 1  3/4

Solve the formula a(m-r) + t =s for a.

Answers

Step-by-step explanation:

pls make me as brainliest

Answer:

a=s-t/m-r

Step-by-step explanation:

Move all terms to the left side and set equal to zero. Then set each factor equal to zero.

Estimate: 4.1 * 7.8 *2.3

Answers

Answer:

4.1 * 7.8 *2.3=73.554

Step-by-step explanation:

4.1

7.8

2.3

73.554

Or use a calculator

Divide 2 over 3 ÷ 1 over 6 = ____.

Answers

Answer:

2/3÷1/6

=2/3×6

=2×2

=4

Answer:

4

Step-by-step explanation:

To find the answer we need to do KCF

KCF = Keep Change Flip

2/3 x 6/1 = 12/3

Simplified: 4/1

is 4/5 a integer natural number rational number or irrational number

Answers

Answer:

Rational number

Step-by-step explanation:

An integer can not be a fraction or decimal.

A natural number is a counting number and fractions are not counting numbers.

Irrational numbers are never ending and can not be written as a simple fraction.

Kathy's average score after 3 math quizzes was 83. Her score on the 4th quiz was 87. If all 4 of the quizzes are weighted equally, which of the following is closest to her average score after 4 quizzes?​

Answers

Answer:

84

Step-by-step explanation:

Pretend her first 3 quizzes were all 83 since that was the average. So the 4th was 87.

83+83+83+87 = 336

Divide by the total number of quizzes because they are equally weighted.

336/4 = 84

Her new average score is 84.

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