82, 62, 95, 81, 89, 51, 72, 56, 97, 98, 79, 85 order from least to greatest find the The median of the lower half of the data and The median of the upper half of the data is

Answers

Answer 1

Answer:

The median of the lower half of the data was determined to be 67 while the median of the upper half of the data was determined to be 92.

Step-by-step explanation:

Step 1:  Order from least to greatest

51, 56, 62, 72, 79, 81, 82, 85, 89, 95, 97, 98

Step 2:  Determine the median of the lower half of the data

There are 12 numbers which means that there is going to be 6 numbers on both sides of the data.  So using the first 6 numbers we will be able to determine the median of the lower half of the data.

51, 56, 62, 72, 79, 81

Since there is an even amount of numbers, that means that we will need to find the middle between the 3rd and 4th number.  We can do that by adding them up together and dividing by 2.

(62 + 72) / 2 = 67

Step 3:  Determine the median of the upper half of the data

So using the first 6 numbers we will be able to determine the median of the upper half of the data.

82, 85, 89, 95, 97, 98

Since there is an even amount of numbers, that means that we will need to find the middle between the 3rd and 4th number.  We can do that by adding them up together and dividing by 2.

(89 + 95) / 2 = 92

Answer: The median of the lower half of the data was determined to be 67 while the median of the upper half of the data was determined to be 92.


Related Questions

Increase a monthly salary of $2925 by 7.2%.​

Answers

Answer:

Step-by-step explanation:

2925+ 7.2% of 2925

2925+0.072*2925

2925+210.60

=$3135.60(increased salary)

Answer:

$3135.6

Step-by-step explanation:

PLEASE HELP!!

BRAINLIEST TO CORRECT ANSWER!!!

The principal of Sycamore Middle School wants to know whether students are in favor of a new dress code.

She conducts a survey.

Which of these methods will produce the most representative sample of the student body at Sycamore Middle School?

O A. The principal surveys all eighth-grade students.

O B. The principal surveys the students in detention.

OC. The principal randomly selects homeroom classes and surveys each student in the chosen classes.

OD. The principal surveys all the students in the math club.​

Answers

Answer:

C. The principal randomly selects homeroom classes and surveys each student in the chosen classes.

Step-by-step explanation:

Middle school is 6-8th. Surveying only the eighth-grade students won't give a representative sample of the whole school only the eighth-graders. Option A is incorrect.

Surveying only the students in detention represents a very small amount of students compared to the school, therefore it is not a representative sample. Option B is incorrect.

Yet again, the students in the math club is a small amount of students compared to the school. It does not represent the entire, or majority of the population. Option D is incorrect.

Picking students from homeroom classes and surveying each will give a wider variation of opinions from each grade and therefore a representative sample. Option C is the correct answer.

Answer:

C

Step-by-step explanation:

I just did the quiz and it was correct

What is the least common denominator of 1/6 and 11/12?

Answers

Answer:

12

Step-by-step explanation:

1/6  = 2/12     11/12 = 11/12

Answer:

12

Step-by-step explanation:

6 =3×2

12=3×2×2

Least common denominator = 3×2×2 = 12

please helpppppppppppppp

Answers

Answer:

it is d because a budget is when u set an amount to spend. there for you be safe in a sertint amount.

Last week, Harry ran 5 laps around the lake. Sophia ran 1 5/6 times as many laps around the lake as Harry did. How many laps around the lake did Sophia run?

Answers

Sophia = (6/6 + 5/6) 5 = 9.16666…
9.1666… is equal to 9 laps

What is the equation for the graph please help me ill give 20 pt

Answers

Answer:

y = 9x

Step-by-step explanation:

Answer:

4.5x          OR           9/2x

Step-by-step explanation:

We know this is a lineasr equation isnce it is a straight line and goes by a slope factor.

We know that for every change in 9 on the y axis, there is a change of two on the x- axis. This slope is now 9/2

The equation can be 9/2x OR 4.5x depending on whether your teacher will accept decimal answers or fractional answers.

10 points
e following numbers are placed on a number line. Which of the following best
sents point A?
B.D
to
-2
-1
7
H. 2.
7
G. -1-
1
№.
r

Answers

Answer:

G

Step-by-step explanation:

really look at the position of point A on the number line.

it is a little bit to the right of -2, but clearly to the left of -1 and especially 0.

so, A must be negative.

that eliminates already H and J.

remember, that e.g. -2 < -1.

so, seemingly "adding" something to the description of a value of a negative number makes that negative number even smaller.

-1 7/8 is for example NOT the same as -1 + 7/8.

it is the same as

-1 - 7/8 = -1 7/8

so, -1 7/8 is indeed smaller than -1.

but it is still larger than -2 (e.g -1 8/8 = -2).

therefore, only G makes sense.

y = −2x + 6 and y = 4x solution

Answers

Answer:

x=1 y=4

(1,4)

Step-by-step explanation:

what is this for 2nd grade math. 247+?=673

Answers

Answer:

426

Step-by-step explanation:

Subtract 247 from 673 to get 426

Answer:

426

Step-by-step explanation:

673

-247

_____

426

Find the value of x.

Answers

Answer:

51°

Step-by-step explanation:

to find x, note that the sum of angles in a triangle is equal to 180°

x+ 63° +66° = 180° ( sum of angles in a triangle.)

x+129° = 180°

x= 180-129 = 51°

x= 51°

hope this helps. please rate and mark brainliest!!!!

so, i' m doing my homework and i came across this question and i was confused...so can u please help me out, the person that gives me the MOST DESCRIBED answer will get Brainliest!! <3

Answers

Answer:

20 22 28 32 33 65 159

median =32

mean= 51.285714285

help me please???????

Answers

Answer:

60.9 mi

Step-by-step explanation:

Circumference of circle:

diameter = 19.4 mi

Circumference of circle = πd

                                        = 3.14 * 19.4

                                        = 60.9 mi

60.9 mi
I already did it trust

Find the area of the triangle.

Answers

Answer:

10 Square feet or square meter

Step-by-step explanation:

Area of a triangle = bh / 2

b represents the base which is 4

h represents the height which is 5

bh / 2 = 4 × 5 / 2

Area = 20 / 2

Area = 10

:. The Area of the triangle is 10 square feet or square meter

The pyramid has a base that is a right triangle with side lengths 3 feet , 4 feef , 5 feet. It’s height is 6 feet. What

Answers

Answer:

12 ft ^3

Step-by-step explanation:

I assume you are looking ofr the volume of this pyramid

V = 1/3 base area * height

base area = area of 3-4-5 triangle =  1/2 * 3 * 4 = 6   ft^2

so Volume is :

1/3  * 6 * 6 = 12 ft^3

Frank lost 3 pounds per week for 19 consecutive weeks then 5 pounds in the 20th week which represent his total change in weight

Answers

Answer:

5 pounds

Step-by-step explanation:

Carry on learning

The Graph below shows the height h in feet of a ball t Second after it is thrown. The passes the ball is represented by the equation h=-t^2+8t please use the graph to answer the question what time is the ball increasing in height I will give BRAINLIEST

Answers

Slope: x=-1/3
Answer: 24’’

Me pueden ayudar con el procedimiento?


24x+7=13

Answers

24x+7=13

24x=13-17
Calcula

24x=6
Divide los 2 lados

x=1/4
Respuesta

Answer: x = 1/4

Step-by-step explanation:

Lo primero que harías es restar 7 de ambos lados de la ecuación debido a tu propiedad de igualdad, que te permite hacer esto.

24x+7=13

      -7   -7

24x=6

Ahora lo que harás es dividir ambos lados entre 24 para que puedas aislar x.

24x=6

/24    /24

x=6/24

Finalmente, puedes simplificar la fracción dividiendo el numerador y el denominador por 6.

x=6/6  /  24/6

x=1/4

How do you write 170% as a decimal?

Answers

170% written as a decimal is 1.7

Answer:

it is 1.7 hope it helps

What is the volume of a sphere with a diameter of 7.9 ft

Answers

Answer:

V ≈ 258 ft³

Step-by-step explanation:

I given the diameter d= 7.9 ft so the radius is r = d/2 = 7.9/2  ft

Volume of a sphere is

V = (4/3) π·r³ = (4/3) · π · (7.9/2)³ = 258.1546167 ft³

What is the quotient of the following division problem? x 1 startlongdivisionsymbol x squared 3 x 2 endlongdivisionsymbol. minus x squared x to get a remainder of 0 ) 2 x 2. minus 2 x 2 to get a remainder of 0 and a quotient of x 2. x 2 x 1 x2 3x 2 0

Answers

The quotient of the provided division in which binomial is divided by a quadratic equation is x+2.

What is the quotient?

Quotient is the resultant number which is obtained by dividing a number with another. Let a number a is divided by number b. Then the quotient of these two number will be,

[tex]q=\dfrac{a}{b}[/tex]

Here, (a, b) are the real numbers.

The given division expression is,

[tex]\dfrac{x^2+3x+2}{x+1}[/tex]

Let the quotient of this division problem is f(x). Thus,

[tex]f(x)=\dfrac{x^2+3x+2}{x+1}[/tex]

Factor the numerator expression as,

[tex]f(x)=\dfrac{x^2+2x+x+2}{x+1}\\f(x)=\dfrac{x(x+2)+1(x+2)}{x+1}\\f(x)=\dfrac{(x+2)(x+1)}{x+1}\\f(x)={x+2}[/tex]

Thus, the quotient of the provided division in which binomial is divided by a quadratic equation is x+2.

Learn more about the quotient here;

https://brainly.com/question/673545

Answer:

its A. on edge 2023

Step-by-step explanation:

Will a 12-inch ruler fit in a box that is a right rectangular prism with a width of

5 inches, a length of 10 inches, and a height of 3 inches? Explain your answer

Answers

Answer:

The Ruler won't fit.

Step-by-step explanation:

Remark

The way this is traditional done is to find the hypotenuse of 5 and 10 inches and use this result with the height. If that does not work, then other combinations can be used.

Hypotenuse (10 and 5 )

Formula

c^2 = a^2 + b^2

Givens

a = 10

b = 5

Solution

c^2 = 10^2 + 5^2        Expand

c^2 = 100 + 25           Add

c^2 = 125                    

Now use the Pythagorean Theorem a second time.

z^2 = x^2 + y^2

x^2 = 125

y^2 = 3^2

z^2 = 125 + 9

z^2 = 134

This is not large enough. A ruler is 12 inches long which would mean that z^2 should come to 144. I don't think any other combination is going to do much better.

In fact looking at it more closely all combinations will give z^2 = 134.

pls answer this bc i need help with this

Answers

Answer:

A third degree or cubic polynomial with three terms. The constant term is -1/7, the leading term is -10x³ and the leading coefficient is -10

Which equation represents the slope-intercept form of the line below!
5-
y-intercept = (0.-5)
slope = 1
O A. y=5x- *
O B. y=+*+5
O C. y=-x-5
O D. y = 5x + 1

Answers

From the picture it is “C”
They give you the y intercept (0,-5) and the slope 1/4
Y=1/4x-5

y-b=m(x-a) solve for m

Answers

Answer:

[tex]m=\frac{y-b}{x-a}[/tex]

Step-by-step explanation:

Considering no values were supplied, the most we can do here is rearrange the equation to get m on its own.

In the equation y - b = m(x - a), since (x - a) is multiplicative of m, we can divide this value to remove it from m's side. This leaves us with:

[tex]m=\frac{y-b}{x-a}[/tex]

Answer:

Step-by-step explanation:

To solve y-b=m(x-a) for m, divide both sides of this equation by (x - a):

           y - b

m = ---------------

          (x - a)


A cone has a height of 17 centimeters. What is its volume? Use n 3.14

Answers

Answer:

444.83

Step-by-step explanation:

volume of a cone is given by the formula pi × r^2 × h × 1/3

by implementing the formula we get the answer which is 444.83

make sure to ask if you need any further guidance :)

Need help ASAP! Please

Answers

Answer:

1

Step-by-step explanation:

What is the volume of the cylinder shown below?Use 3.14 as an approximation for π.





A. 314 in³
B. 1,256 in³
C. 5,024 in³
D. 5,625 in³

Answers

Find the area of the circle ( top)

Area = Pi x r^2 = 3.14 x 8^2 = 3.14 x 64 = 200.96 square inches.

Volume = area of top x height

Volume = 200.96 x 25 = 5,024 in^3

Answer: C. 5,024 in^3

Answer:

C

Step-by-step explanation:

Kelsey has $100 in an account. The intrest rate is %11 compounded annually. To the nearest cent, how much will she have in 2 years

Answers

[tex]~~~~~~ \textit{Compound Interest Earned Amount} \\\\ A=P\left(1+\frac{r}{n}\right)^{nt} \quad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\dotfill &\$100\\ r=rate\to 11\%\to \frac{11}{100}\dotfill &0.11\\ n= \begin{array}{llll} \textit{times it compounds per year}\\ \textit{annually, thus once} \end{array}\dotfill &1\\ t=years\dotfill &2 \end{cases} \\\\\\ A=100\left(1+\frac{0.11}{1}\right)^{1\cdot 2}\implies A=100(1.11)^2\implies A=123.21[/tex]

Please help kind of urgent i only have 100 points so please help thanks:)

Answers

Answer:

√3

Step-by-step explanation:

To recall trigonometric ratios, there is a special acronym known as sohcahtoa which stands for

sin(x)=opposite/ hypotenusecos(x)=adjacent/hypotenuse tan(x)=opposite /hypotenuse

Finding the angle [tex]\theta[/tex]

We are given that,

[tex] \displaystyle \sin( \theta) = \frac{ \sqrt{3} }{2} [/tex]

To find the angle [tex]\theta[/tex] , take inverse of sin of both sides,

[tex] \displaystyle { \sin}^{ - 1}( \sin( \theta) )= { \sin}^{ - 1} \bigg(\frac{ \sqrt{3} }{2} \bigg )[/tex]

with the help of unit circle,we acquire:

[tex] \displaystyle \boxed{\theta= {60}^{ \circ} }[/tex]

Finding [tex]\tan\theta[/tex]

simply plug in the value of theta:

[tex] \tan( {60}^{ \circ} ) [/tex]

using unit circle,we get:

[tex] \implies \tan( {60}^{ \circ} ) = \boxed{\sqrt{3} }[/tex]

and we're done!

Let's solve

[tex]\\ \rm\Rrightarrow sin\theta=\dfrac{\sqrt{3}}{2}[/tex]

[tex]\\ \rm\Rrightarrow \theta=sin^{-1}\left(\dfrac{\sqrt{3}}{2}\right)[/tex]

[tex]\\ \rm\Rrightarrow \theta=\dfrac{\pi}{3}[/tex]

Now

[tex]\\ \rm\Rrightarrow tan\theta=tan\dfrac{\pi}{3}[/tex]

[tex]\\ \rm\Rrightarrow tan\theta=\sqrt{3}[/tex]

Tanelle is cutting out a paper banner as shown in the image. The entire piece of paper is 8 feet long and she is cutting a circle with a 1 foot diameter out of each of the 4 sections. (The circles are hemispheres, AKA half circles)
About how much paper will she need? Use 3.14 for pi and show your work.

Answers

Answer: 4.71

Step-by-step explanation:

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