Calculate the median, the range and identify the Q1 and Q3 for the following set: 5, 1, 6, 8, 1, 7, 4, 5, 6, 11, 3, 4, 4, 2, 5, 5 (hint draw a box and whisker plot)

Answers

Answer 1

Answer:

Arrange the data in ascending order

1,1,2,3,4,4,4,5,5,5,5,6,6,7,8,11

n=16

position of median = (n+1)/2 = 17/2 = 8.5 th item

8.5 th item is the average of 8 and 9th item

median = (5+5)/2 = 5

Range = largest value - smallest value

           = 11 -1 = 10

position of Q1=  (n+1)/4 = 17/4 = 4.25 th item

Q1 = 4 + 0.25(5th item - 4th item )

    4 + 0.25(4-3)

= 4.25

position of Q3=  (n+1)/4 = 3*17/4 = 12.75 th item

Q1 = 12 + 0.75(13th item - 12th item )

    12 + 0.75(6-6)

= 12

Step-by-step explanation:


Related Questions

Find an expression which represents the difference when (-8x-8y) is subtracted from (6x+y) in simplest terms.

Answers

The expression that represents the difference between the two algebraic expressions given is: 14x + 9y.

What is the Difference of Algebraic Expressions?

The difference between two algebraic expressions is simply gotten by subtract one from the other.

Thus, find the difference between the two algebraic expressions, (6x+y) and (-8x-8y).

(6x+y) - (-8x-8y)

Open the bracket

6x + y + 8x + 8y

Combine like terms

14x + 9y

Therefore, the expression that represents the difference between the two algebraic expressions given is: 14x + 9y.

Learn more about algebraic expressions on:

https://brainly.com/question/2164351

Pleaseeeeeee Help meee :(((((
(30 points)

Answers

Answer:

9

Step-by-step explanation:

d=rt

12x45/60

12x0.75

9=d

Answer:

Step-by-step explanation:

(8.91 times 10 Superscript 2 Baseline) (3.3 times 10 Superscript 12 Baseline)

Answers

Answer:

  2.9403×10^15

Step-by-step explanation:

Your calculator can work this out for you.

  [tex](8.91\times10^2)(3.3\times10^{12})=(0.891\times10^3)(3.3\times10^{12})\\\\=(0.891\times3.3)(10^{3+12})=\boxed{2.9403\times10^{15}}[/tex]

__

The applicable rule of exponents is ...

  (10^a)(10^b) = 10^(a+b)

__

Additional comments

You can keep a product the same if you divide one factor by 10 and multiply the other factor by 10:

  8.91×10² = (8.91/10)(10×10²) = 0.891×10³

I like to "pre-scale" the numbers in a problem like this so that the product comes out in scientific notation with no adjustment needed. That is, the product of the two mantissas is a number between 1 and 10.

Here, you can tell the product of 8.91 and 3.3 will be more than 24, so scaling will be necessary. It is convenient to scale the larger mantissa to be less than 1 so the product comes out less than 10. That is why we made it 0.891×10³.

Answer:

 2.9403×10^15

Step-by-step explanation:

i took the unit test

3. What is the slope of the line x = -5? (1 point)
O Undefined
O 0
O -5
O 5

Answers

Answer:

slope is undefined

Step-by-step explanation:

x = - 5 is the equation of a vertical line, parallel to the y- axis.

The slope of a vertical line is undefined.

applying the properties of operations, what is the value of the expression?

Answers

Answer:

What expression are we supposed to be answering this for?

Answer:

i think it is 3.875

Step-by-step explanation:

i'm so sorry if it's incorrect; good luck anyways :)

URGENT PLS HELP

BD bisects ABC. Find each of the following
1. Find the measure of angle ABD if the measure of angle ABD = 6x + 4 and
the measure of angle DBC = 8x - 4
2. Find the measure of angle ABC if the measure of angle ABD = 5y - 3 and the
measure of angle DBC = 3y + 15.

Answers


Align the horizontal edge of the protractor with the base of the triangle. Place the center point of the protractor on the vertex of the angle. Follow the side of the triangle until it reaches the angle measurement mark. Note the measurement.

Need help ASAP! 20 points:)))

Answers

Answer:

Addition Property of Equality

If a, b, and c are any real numbers, and a(b + c) = ab + ac, then (b = c) a = ba + ca.

A bakery can make 21 cheesecakes for every 7 blocks of cream cheese. Which table represents the relationship between the number of cheesecakes the bakery makes and the number of blocks of cream cheese the bakery uses? A B Cheesecakes Cream Cheese (blocks) Cheesecakes Cream Cheese (blocks) 21 7 21 7 28 14 24 8 35 21 27 9 с D Cheesecakes Cream Cheese (blocks) Cheesecakes Cream Cheese (blocks) 3 1 3 1 4 2 6 4 5 3 9 7​

Answers

Answer:

it would be D me child

Step-by-step explanation:

the average weight of a mature human brain is approximately 1400 grams. what is the equivalent weight in kilograms? and in pounds? I NEED STEP BY STEP

Answers

Answer:

1.4

Step-by-step explanation:

you need to multiply 1400 by 0.001 because 1 gram is the equivalent to 0.001 kilograms

Answer:

1.4

Step-by-step explanation:

12 more than quotient of a number k and 5

Answers

Answer:

(k/5)+12 represents the question described

The required equation is 12 + k/5.

What is an equation?

In mathematics, an equation is a formula that expresses the equality of two expressions by connecting them with the equal sign = .

Now the given statement is,

12 more than quotient of a number k and 5

Converting them into numerical form,

quotient of a number k and 5 = k/5

Therefore 12 more than quotient of a number k and 5 is written as,

12 + k/5

this is the required equation for the given statement.

Thus, the required equation is 12 + k/5.

To learn more about equation:

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Can someone answer all these for me please

Answers

5^3 is 15 i hope this helps im sorry if it didnt
First section
1. 169
2. 64
3. 81
4. 125
5. 4
6. 216
7. 2304
8. 27
9. 49

Second section
1. 4
2. 3
3. 5
4. 9
5. 1
6. 2
7. 7
8. 6
9. 10

Third section
1. 24
2. 3
3. 15(squareroot sign) 5
4. 18 (squareroot sign) 6
5. 6 (squareroot sign) 2
6. 72 (squareroot sign) 3
7. 21 (squareroot sign) 7
8. 0
9. 81

pt=3x9 and tq=5x-7 because i have no idea what it is

Answers

Answer:

i have the same question on my worksheet

Step-by-step explanation: its super hard need help too

Which equation could you use to solve for x in the proportion 4 over 5 = 9 over x ?

Answers

Step-by-step explanation:

4/5 = 9/x

x(4/5)= 9

4/5x = 9

×5/4 ×5/4

x=11.25

Write an equation in slope intercept form for the line that passes through the point with the given slope. point: (4,2) and m=3

Answers

Answer:

3x/10 - y/10 = 1

Step-by-step explanation:

(y-2)/(x-4)=3

y-2=3x-12

y-3x= -12

3x/10-y/10=1

F(x) = x + 4
G(x) = x^2 + 4
Find (fog) (3)

Answers

Answer: 17

Steps:

1. Plug in (3) into “x” of the g(x) equation:
g(3) = (3)^2 + 4
g(3) = 9 +4
g(3) = 13

2. Plug in g(3) value into “x” of the f(x) equation:
f(g(3)) = x + 4
f(g(3)) = 13 + 4
f(g(3)) = 17

(If someone answers fast i will mark you brainliest ) Which ordered pair would form a proportional relationship with the point graphed below? (10, -20) (-30, 20) (-10, 5) (35, -20)

Answers

Answer:

(-10, 5)

Step-by-step explanation:

(10, -20), (-30, 20), (35, -20) ⇒ these points are not on the line, so they don't form a proportional relationship with the graph.

(-10, 5) ⇒ this point is on the line, so it forms a proportional relationship with the graph.

Please tell me if I'm wrong. I might be wrong, but I'm trying my best to help..

Given the data set below, find the mean,
4,8, 21, 9, 12,6
A.
10
B.
8.5
c.
17
D
12.5

Answers

Answer: A) 10
4+8+21+9+12+6=60
60/6= 10
To find the mean, you’ll add all the numbers and then divided be however many there are.

Its the same dropdown for every question, what is the answer for each one

Answers

Answer:

2.5y, y = -5.2

2.5(-5.2) = -13

2x² + y, x = -2, y = 5

2(-2)² + (5)

2(4) + 5

8 + 5 = 13

a(b), a = 2/3, b = 9/14

(2/3)(9/14)

cross simplify

(1/1)(3/7) = 3/7

BRAINLIEST TO THE FIRST 2 TO ANSWER

Answers

Answer:

ab + b²-ac-bc

b(a+b) -c(a+b)

(a+b) (b-c)

Step-by-step explanation:

Answer:

C. (b-c)(a+b)

Step-by-step explanation:

This i s because there is a positive b squared in the expanded equation so both brackets had to have had a positive b term in them.

(b-c)(a+b) expanded:

ab +b^2 -ac -bc

Hope this helped!

What would it mean if there was an outbreak of cholera? A. The disease has infected a few people spread out over a large distance. B. The disease has spread suddenly and rapidly. C. The disease has been eradicated or erased; it no longer exists. D. The disease has been controlled and is no longer a threat to humans. Please select the best answer from the choices provided A B C D

Answers

Answer:

I think that it is B because its the only answer that makes sense

Step-by-step explanation:

Answer:

Step-by-step explanation:

b

4x²-9y²-6x-9y Factorize​

Answers

Answer:

Step-by-step explanation:


Sorry I also need help with this question

Answers

Answer: B

Step-by-step explanation:

(f/g) means to divide f(x) by g(x).

[tex](f/g)(x)=\frac{3x+2}{3x-5}[/tex]

To find the domain, you set the domain equal to zero and solve for x.

3x-5=0                   [add both sides by 5]

3x=5                       [divide both sides by 3]

x=5/3

Now, we know that B is the correct answer.

2d + 3 ≤ –11 or 3d – 9 > 15?

Answers

Answer:  d≤-7 and d>8

Step-by-step explanation:

3d - 9 >15 answer is d>8 and 2d + 3 ≤ -11 is d≤-7

For f(x)=2x+1 and g(x)=x^2-7 find (f-g)(x)

Answers

Answer:

-x² + 2x + 8

Step-by-step explanation:

Essentially we need to subtract g(x) from f(x):

(f - g)(x) = f(x) - g(x) = (2x + 1) - (x² - 7)

Distribute the negative:

(2x + 1) - x² - (-7) = (2x + 1) - x² + 7

Combine like terms:

2x + 1 - x² + 7

-x² + 2x + 8

Thus, the answer is -x² + 2x + 8.

~ an aesthetics lover

Help, please find errors!

Answers

Everything looks great. The only issue I see is that 27 is a bit smudged. I think you were trying to say "A, B and E" (in any order you want). If so then that would be the correct answer.

4x3 =
A) 12
B) 35
C) 15​

Answers

Answer:

12

Step-by-step explanation:

4x3=12

The answer is A, 12.

PLEASE HELP!!! 15 PTS FOR THIS!! (Please show work also) Convert y=3x-14 (slope intercept form) to standard form Convert y-6=-1/3(x-9) (point slope form) to standard form Convert 3x+y=9 (standard form) to slope intercept form

Answers

Answer:

Step-by-step explanation:

y=3x-14

standard  form : 3x-y=14 ( move variable together on one side )

convert y-6=-1/3 (x-9) to standard form :

first : y-6 = -1/3 x -1/3(-9)

y-6=-1/3 x +9/3

y-6=-1/3x+3

y+1/3x =3+6

y+1/3x=9 ( common denominator)

(3y+x)/3=9 ( cross multiplication)

3y+x=3(9)

3y+x=27

Convert 3x+y=9 (standard form) to slope intercept form (y=mx+b)

3x+y=9

y=-3x+9

Simplify fraction 4/28 and 24/80

Answers

Answer:

1. 1/7

2. 3/10

Step-by-step explanation:

4/28 can be divided by 4

24/80 can be divided by 8

Solve for X X - 24 = 73 Question 6 options: 49 97 47 95

Answers

Answer:

x = 97

Step-by-step explanation:

X - 24 = 73

Add 24 to each side

X - 24+24 = 73+24

x = 97

[tex]\text{Hello! :D}[/tex]

[tex]\large\boxed{x = 97}[/tex]

[tex]\text{x - 24 = 73}[/tex]

[tex]\text{Solve for x by adding 24 to both sides:}[/tex]

[tex]x- 24 + 24 = 73 + 24\\\\x = 97[/tex]

list a least two metric units that you can use to measure volume

Answers

Answer:

1-Rectangular prism

2-cube

Step-by-step explanation:

Rectangular prism - Multiply the measurement of the length times the width, then times the height.

Cube - Since all sides are the same measurement, it would be the measurement of any side, or edge, cubed, or a³

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