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

Is 144 a perfect square?

A. The whole number 144 is a perfect square because the square root of 144 is a whole number.

B. The whole number 144 is not a perfect square because the square root of 144 is not an irrational number.

C. The whole number 144 is a perfect square because 144 is divisible by 2.

D. The whole number 144 is a perfect square because 144 is divisible by 4.

Answers

Answer:

A,

Step-by-step explanation:

because the whole number 144 is a perfect square and the square root of 144 is also a whole number

Hey uhm I don't understand:
-2/3 (1/2) (-6/7)=
i need the answer in a fraction. THANXS!

Answers

2/7

Hope this helps !!
You should also go to sleep soon!!
Make sure you ate todayyy !!!

Please help me I’ll give brainliest

Answers

Answer:

B, C, D

Step-by-step explanation:

2x^3 + x^2 – 7x – 6 divided by 2x +3

Answers

Answer:

x^2 -x -2

Step-by-step explanation:

Use polynomial long division.

           0 + x^2  -x  -2

           ___________________________________

(2x+3)  |  2x^3  +x^2  -7x  -6

           -2x^3  -3x^2

            _________

                      -2x^2 -7x

                      +2x^2  +3x

                       __________

                                   -4x  -6

                                    +2x  +6

                                   _______

                                          0

Make ”a” the subject of the formula 9a-8=2(a-b)

Answers

Answer:

Step-by-step explanation:

9a - 8 = 2a - 2b

7a - 8 = -2b

7a = 8 - 2b

a = (8 - 2b)/7

describe the domain and range

Answers

Answer:

see below

Step-by-step explanation:

The domain is the input values

The domain is the resistance values

D: { 4,6,48,80,120}

The range is the output values

The range is the current values

R : { .1,.15,.25,2,3)

Which statement correctly describes this expression?

Answers

Answer:  

A.  5 more than the absolute value of the cube of a number

Step-by-step explanation:

x  ← a number

x³  ← the cube of the number

|x³|  ← the absolute value of the cube of the number

|x³| + 5    ← 5 more than the absolute value of the cube of the number

A zoo has 1,361 visitors on Saturday and 549 visitors on Sunday. What is the best estimate of the total number of visitors?

Answers

Answer:

1,900

Step-by-step explanation:

Answer:

1900 is my pick

Step-by-step explanation:

At what points do the the graphs of y = 2x+1 and y= -(x-1)^2+3 intersect?
O A. (-2, -6) and (2, 2)
O B. (-1, -1) and (1,3)
O C. (-3,5) and (2, 2)
O D. (1, 3) and (3,7)

Answers

The answer would be B. (-1,-1) and (1,3)

Hope that helped

Please help me out with this question

Answers

Answer:

no. 4

Step-by-step explanation:

(Show your working) I uploaded the question

Answers

x^2 = the first integer

(x - 1)^2 = the second integer.

x^2 - (x - 1)^2 = ?

First, let's plug a number into our equation for x.

(2)^2 - (2 - 1)^2 = ?

4 - (1)^2 = ?

4 - 1 = 3

As we can see the difference is odd but it's also the sum of the two consecutive integers.

2 + 1 = 3.

This works for all numbers. Let's plug another number into our equation for x.

(4)^2 - (4 - 1)^2 = ?

16 - (3)^2 = ?

16 - 9 = 7

4 + 3 = 7

Try any number and it will always be odd.

Solve.

h + 14 = -14

h =

Answers

Answer:

h= -28

Step-by-step explanation:

h+14=-14

 -14    -14

h= -28


Walk me through solving this one-step equation for x.

-18 + x = -11

Answers

-18 + x = -11

Let's add 18 to both sides

x = 7

Answer:

7

Step-by-step explanation:

Step 1:

- 18 + x = - 11

Step 2:

x = - 11 + 18

Answer:

x = 7

Hope This Helps :)

The measure of G is six more than twice the measure of H. If G and H are supplementary angles, find the measure of H pls I need help pls

Answers

Answer:

G=2H+6. -(1)

Also, G and H are supplementary angles which mean their sum would be180.

G+H=180

G=180-H. -(2)

From (1)&(2)

2H+6=180-H

3H=174

H=58

Hope it helps :-)

Please help!
No wrong/spam answers!

Answers

Answer:

c) 25

Step-by-step explanation:

[tex] \because \: l \parallel m \\ \therefore \: 3x \degree = (2x + 25) \degree ..(alternate \: \angle 's)\\ 3x = 2x + 25 \\ 3x - 2x = 25 \\ \huge \orange{ \boxed{x = 25}}[/tex]

Answer:

Spam answer

Step-by-step explanation:

c) 25

Bob is hiking down a 12-mile country trail. He could hike at 3 mph for the first two hours and then go the rest of the way at 5 mph or he could just go the whole way at 4 mph. How long would each of these options take? Which option is the faster?

Answers

Answer:

The first option will take a total of 3.2 hours while the second option will take just 3 hours

This shows that the second option is faster

Step-by-step explanation:

Here, we want to compare two hiking options and see the one which is faster.

At any point in time;

Distance = speed * time

In the first option, he could hike at 3 mph for two hours.

Total distance covered would be 3 * 2 = 6 miles

Distance left = 12 miles - 6 miles = 6 miles

Time taken to hike 6 miles at 5 mph will be ; 6/5 = 1.2 hours

Total time for the first type hiking = 1.2 hours + 2 hours = 3.2 hours

For the second option;

Time = distance/speed = 12 miles/4 mph = 3 hours

We can see that the second option is faster

Here, we are required to determine how long each of the options take and which of the 2 options is faster .

Therefore;

Therefore;Option 1: 3.2hours

Therefore;Option 1: 3.2hoursOption 2: 3hours.

Therefore;Option 1: 3.2hoursOption 2: 3hours.Ultimately, since option 2 takes 3hours and option 1 takes 3.2hours to hike down the distance respectively, Option 2 is faster.

Total hiking distance = 12 miles

For first option;

He could hike at 3 mph for the first two hours and then go the rest of the way at 5 mph. The statement above suggests that after the first 2 hours, 6 miles will have been covered and the remaining 6 miles can be covered at 5mph in (6/5)hours = 1.2hours.Therefore, the total time taken using this option is;(2 + 1.2) hours = 3.2hours.

For second option;

He could go the whole way at 4mph.At this pace, he is able to travel the whole 12mile hiking distance in (12/4)hours.Therefore, the total time taken using this option is; 3hours.

Therefore;

Option 1: 3.2hoursOption 2: 3hours.

Ultimately, since option 2 takes 3hours and option 1 takes 3.2hours to hike down the distance respectively, Option 2 is faster.

Read more:

https://brainly.com/question/24392595

What is the domain of the relation {(1,-5), (2,3), (-6, -1), (2, 3), (-7, 8), (2, 3)}?

Answers

Answer:

all work is pictured and shown

which is the correct answer?? I have 5 mins left to finish this pls help

Answers

Answer:

25.3

Step-by-step explanation:

I just put it in my calculator.

A used car is for sale for $8,950. If Jenny will pay for the car over a 5 year period, what will be her monthly payment, to the nearest dollar?

3,729/month

1,790/month

149/month

60/month​

Answers

Answer:

your answer will be 149/month

Step-by-step explanation:

you wanna ask urself how many months are in 5 years

The answer is: 60 months

then, you wanna divide the cost of the car over 60 months

So:

[tex]$8950/60=149.166[/tex]

round that to the nearest dollar AKA the ones

it'll be 149

and don't forget the unit of time

which is month

$149/month

The average distance across an ocean is 1,600 km. Two continents on either side of the ocean are converging at a rate of 0.0001 km/year. How long will it take for them to collide? The formula to find time is: time = distance/convergence rate. Solve.

Answers

Answer: 16,000,000 years

Step-by-step explanation:

The question already states the formula for time so

1600/0.0001= 16,000,000

If my function rule is y=x + 3, what is the OUTPUT if the input is 4?

Answers

Answer:

7

Step-by-step explanation:

The output is 'y'. The input would be 'x'.

[tex]y=x+3\\\\y=4+3\\\\y=7[/tex]

The output should be 7.

Hope this helps.

The output for the function y=x + 3 at input x = 4  will be y = 7.

What is a function?

The expression that established the relationship between the dependent variable and independent variable is referred to as a function. In the function as the value of the independent variable varies the value of the dependent variable also varies.

Given the function is  y=x + 3. the value of the output at input x = 4 will be calculated as:-

y = x + 3

Put x = 4 in the function.

y = 4 + 3

y = 7

Therefore, the output for the function y=x + 3 at input x = 4  will be y = 7.

To know more about a function follow

https://brainly.com/question/20384115

#SPJ2

. Classify the relationship between the pair of angles. ∠10 and ∠12.

Answers

Answer: consecutive interior angles

Step-by-step explanation:

An alligator is 6 inches long at birth and grows 9 inches per year. Write an equation that represents the length y (in feet) of an alligator that is x years old. How long will the alligator be after 4 years?

Answers

Answer:

42 feet

Step-by-step explanation:

y=mx+b

y=9x+6

9•4 =36 +6= 42

42=(9•4)+6

Find the value of f(3)

Answers

I got the answer 3f there you go

Use elimination to solve and match each system of equations to the correct solution 5x=15-5y
8y+26=2r Brainliest to the first answer I get

Answers

Answer:

40x=120

10r=130

Step-by-step explanation:

8(5x=15-5y)= 40x=120-40y

5(8y+26=2r)= 40y+130=10r

40x=120-40y

10r=130+40y

40x=120

10r=130

This is as far as I could get because the two numbers have two different variables, I couldn't subtract or add. It would be like subtracting apples from oranges... you can't

   [tex]\begin{cases}5x=15-5y\\ 8y+26=2x\end{cases}\\\\\begin{cases}5x+5y=15\\ -2x+8y=-26\end{cases}\\\\\begin{cases}(5x+5y)\cdot2=15\cdot2\\ (-2x+8y)\cdot5=-26\cdot5\end{cases}[/tex]

+  [tex]\begin{cases}10x+10y=30\\ -10x+40y=-130\end{cases}[/tex]       (adding first equation to second)

   [tex]\begin{cases}10x+10y=30\\{}\qquad50y=-100\end{cases}\\\\\begin{cases}10x+10y=30\\{}\qquad y=-2\end{cases}\\\\\begin{cases}10x+10(-2)=30\\y=-2\end{cases}\\\\ \begin{cases}10x-20=30\\y=-2\end{cases}\\\\ \begin{cases}10x=50\\y=-2\end{cases}\\\\ \begin{cases}x=5\\y=-2\end{cases}[/tex]  

what is the perimeter of a rectangle with a length of (x^2+x) and a width of (2x^2+3x)

Answers

Answer:

Perimeter = 6x² + 8x

Step-by-step explanation:

Perimeter = 2(length + width)

perimeter = 2((x²+x)+(2x²+3x))

perimeter = 2(x²+2x² + x+3x)

perimeter = 2(3x² + 4x)

perimeter = 2*3x² + 2*4x

perimeter = 6x² + 8x

answer quick please​

Answers

Answer:

x= 12 y= 9

Step-by-step explanation:

x+29=3x+5

-x

29=2x+5

-5

2x=24

/2 /2

x=12

12+29=41

180-41= 139+5= 144÷16=9

x = 12 , y = 9
you set the “x” equations equal to each other to simply and find “x” . once you find “x” you simplify “x+29” ( equals 41) , add it to the “y” equation and set the entire equation (16y - 5 + 41) equal to 180° (16y - 5 + 41 = 180) since that’s what a line is equal to and then solve ! hope i helped :)

Graph the equation
y = 4(x - 2)? - 6
Pro
Pio
9
Te
7
6
5
4
3
2
2
9.7.6.5.423.2
-3
-6
Do 4 problems
Donate
volunteer

Answers

Not sure about this one

Answer:

omg here is the answer

Step-by-step explanation:

What is the mode of the data set? 2 0 5 7 8 9 8 2 1 8 A. 2 and 8 B. no mode C ,8 only D, 2 only

Answers

Answer:

The answer is C. 8

Step-by-step explanation:

First we should reorganize the data set so that it is easier to see the mode:

0, 1, 2, 2, 5, 7, 8, 8, 8, 9

Since mode is the value that occurs the most, we just have to look at the data set and find out which value here occurs the most:

0 - Once

1 - Once

2 - Twice

5 - Once

7 - Once

8 - Thrice

9 - Once

From this we can see that the value 8 occurs the most.

Therefore, the answer is C. 8

What is the slope? Please answer ASAP

Answers

In mathematics, the slope or gradient of a line is a number that describes both the direction and the steepness of the line. ... Slope is calculated by finding the ratio of the "vertical change" to the "horizontal change" between (any) two distinct points on a line.
(Got it from google lol hope it helped!)
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