The dataset below represents the population densities per square mile of land area in 15 states in the 2010 U.S. Census. What is the interquartile range?

Answers

Answer 1

Answer:

The Interquartile range is 188

Step-by-step explanation:

Missing Data:

1,19,35,43,49,55,63,94,105,110,175,231,239,351,738

Required

Determine the Interquartile range (IQR)

The given data is ordered already.

First, we need to determine the median

For odd number of data

Median = ½(n + 1)th

In this case, n = 15; so

Median = ½(15 + 1)th

Median = ½(16)th

Median = 8th

This implies that the median is at the 8th position.

So, we have:

1,19,35,43,49,55,63 ----> Lower

(94) ---- Median

105,110,175,231,239,351,738 ---- Upper

Next, we determine the median of the lower and upper sets.

These are called lower quartile (Q1) and upper quartile (Q3) respectively

Lower: 1,19,35,43,49,55,63

Number of data, n = 7

Q1 = ½(n + 1)th

Q1 = ½(7 + 1)th

Q1 = ½(8)th

Q1 = 4th position

From the list of data in the lower set,

Q1 = 43

Upper: 105,110,175,231,239,351,738

Number of data, n = 7

Q3 = ½(n + 1)th

Q3 = ½(7 + 1)th

Q3 = ½(8)th

Q3 = 4th position

From the list of data in the upper set,

Q3 = 231

IQR is then calculated as thus:

IQR = Q3 - Q1

IQR = 231 - 43

IQR = 188


Related Questions

Diego has $12 and begins saving $5 each week toward buying a new phone. At the same time that Diego begins saving, Lin has $84 and begins spending $3 per week on supplies for her art class. Is there a week when they have the same amount of money? How much do they have at that time?
After_______weeks both Diego and Lin will have_____dollars

Answers

Answer:

$72

Step-by-step explanation:

Answer:

After ten weeks both diego and lin will have 57 dollars

Step-by-step explanation:

you are playing a game you lose 4.8 points lose another 7.6 points and then win 2.5 points what is the overall change in your score?​

Answers

Answer:

9.9

Step-by-step explanation:

Fists you have to choose a number, ex. 20. Then subtract 4.8 from 20 equalling 15.2, then subtract 7.2 from 15.2, which equals 7.6, then add 2.5 and get 10.1. When you have that final number you must subtract it from the starting number to find the change, 20 - 10.2 = 9.9

Solve the system of equations below.
y=3x
2x + y = 15

Answers

Answer:

x=3

Step-by-step explanation:

2x+(3x)=15

5x=15

x=3

solving for y:

3(3)=9

y=9

Answer:

(y,x) (9,3)

Step-by-step explanation

can anyone please help me​

Answers

7. is C 3/50
8. is H 2/3
9. is C 2/3
10. is B slope 4 y intercept -2
11. is -1/4 slope
12. is 1/5 slope
13. is -2/3 slope
14. is 6 is the slope
15. is y=5/3x+5
16. is y=1/2x-3
17. is y=-3/5x+4
18. is y=3/2x-3 :)

help please i need help.​

Answers

Answer: y=4x-4? yall i love algebra but I was trying to find the intercept and the points diidtn mathc up

Step-by-step explanation:

2 The outside temperature is -3°F and falling at a rate of 2 degrees per hour. What will the temperature be in 5 hours?​

Answers

Answer:

-13

Explanation:

I did the math lol

PLEASE HELP ASAP
Write the slope-intercept form of an equation of the line that passes through the
given point and is perpendicular to the graph of the equation..
(-3, -2), y = x + 2 .

Answers

Answer:

y=-x-5

Step-by-step explanation:

what would the value of X be on this one?

Answers

Answer:

i think it's 51 because if you add 106 and 23 together it's 129 then 180-129= 51

Step-by-step explanation:

) Al repartir laminas entre mis amigos, pude darle 5 a
cada uno y me sobran 2. Pero luego llegaron 2 amigos
más, por lo que las repartí de nuevo y pude darle
láminas a cada uno. ¿cuántos amigos había al principio y
cuántas láminas tenia?​

Answers

Answer:

Había cinco amigos al principio y siete laminas en total. (Using google translate)

Step-by-step explanation:

pude darle 5 a cada = 5 amigos

5 a cada uno y me sobran 2 amigos más, por lo que las repartí de nuevo y pude darle = siete laminas

Assignment
Yeshi is making Pork fing. He has only 300g of pork
So he have to adjust the ro recipe.
500g pork
150g tomatoes
100g butter
120ml water
45g green chilli
8og onion.
a How much of each of the other ingredients
should he use​ to make pork fing

Answers

Answer / Step-by-step explanation:

500g - 300g = 200  {200 ÷ 500 = 0.4}  ---- 300g pork

0.4 × 150g = 60g tomatoes

0.4 × 100g = 40g butter

0.4 × 120ml = 48ml water

0.4 × 45g = 18g green chilli

0.4 × 8og = 3.2og onion

fp(x)=x2+2x-5 and g(x)=x-3, what is p(x) - 4(x)?

Answers

Answer:

1

Step-by-step explanation:

It's just 1

can you please help me with these two questions thank u

Answers

Answer:

the answer to question 1 is 24 and the answer to number 2 is 1

Answer:

frist one is 24. second is 1

Step-by-step explanation:

prove algebraically that n^2 -n is never an odd number when n>1

Answers

Answer:

See Below.

Step-by-step explanation:

We want to prove that:

[tex]n^2-n[/tex]

Is never an odd number when n>1.

We will have two cases. We can prove them for each case individually.

The Even Case: n is Even:

Let n be even. Then, we can rewrite n as:

[tex]n=2k[/tex]

Where k is any positive integer.

This is because twice of any integer is even, so n must be even.

Substitute this into our expression to acquire:

[tex]=(2k)^2-(2k)[/tex]

Square:

[tex]=4k^2-2k[/tex]

4 times anything is even. 2 times anything is also even. Therefore, our expression will stay even.

The Odd Case: n is Odd:

Let n be odd. Then we can rewrite n as:

[tex]n=2k-1[/tex]

Where k is any positive integer.

This is odd because twice of any number is even, but if subtracted by 1, it yields an odd number.

We will substitute this into our expression to acquire:

[tex]=(2k-1)^2-(2k-1)[/tex]

Square:

[tex]=(4k^2-4k+1)+(-2k+1)[/tex]

Simplify:

[tex]=4k^2-6k+2[/tex]

4 times anything is even. 6 times anything is even. And anything even added to 2 will still be even.

Therefore:

[tex]n^2-n[/tex]

Will never be an odd number when n>1.

HELP PLS THIS IS A TEST QUESTION


Which linear inequality is represented by the graph?
y<1/2x+2
y>1/2x+2
y<1/3x+2
y>1/3x+2

Answers

Answer:

y<1/2+2

Step-by-step explanation:

Answer:

I think the answer is A because I learned about slope last year

Four friends do yardwork for their neighbors over the weekend, earning $\$15$, $\$20$, $\$25$, and $\$40$, respectively. They decide to split their earnings equally among themselves. In total how much will the friend who earned $\$40$ give to the others?

Answers

Answer:

$15

Step-by-step explanation:

Let A, B, C and D represent the four friends respectively.

Given the following data;

Amount earned by A = $15

Amount earned by B = $20

Amount earned by C = $25

Amount earned by D = $40

Total amount earned = 15 + 20 + 25 + 40

Total amount earned = $100

For an equal ration, each friend should be given;

Each earnings = total amount earned/number of friends

Substituting into the equation, we have;

Each earnings = 100/4

Each earnings = $25

Hence, for D with $40, would become;

D = $40 - $25

D = $15

Therefore, D would give A $10 and give B $5.

One year ago, Lindsey deposited $250 into a savings account. Her balance is now $253. Two years ago, Jenn deposited $250 into a savings account. Her balance is now $257.50. Which account has the greater simple interest rate? Explain.
This is due at 2

Answers

Jenn's account has the greater simple interest rate

Where A is the final amount after investment, P is the initial amount, r is the rate of interest and t is the time periods.

For Lindsey:

Lindsey simple interest was 1.2% annually

For Jenn:

Jenn simple interest was 1.5% annually

Therefore Jenn's account has the highest simple interest rate.

^^^^^^^^^^^^^^^^^^^^

"EamonnAdams1992"

Answer:

She has a higher interest rate

Step-by-step explanation:

Lindsay’s interest is $3 for one year. Using the formula for interest, I = prt, Lindsey’s money is earning at a rate of 1.2%. Jenn has earned $3.75 for one year. Her money is earning at a rate of 1.5%, which is a higher interest rate.

Sample answer on edge ;)

Suppose that f(x)=3x+1....

Answers

Answer:

3

Step-by-step explanation:

f(x) = 3x+1

f(x+h) = 3(x+h)+1 = 3x+3h+1

f(x+h) - f(x)= 3x+3h+1-3x-1 = 3h

3h/h=3

The last time Robert filled up his car with gas, he paid $24.50 for 7 gallons. This time, he needs 15 gallons. If the price is the same, how much will he pay?

Answers

Answer:

$52.50

Step-by-step explanation:

Set up the ratio:

[tex]\frac{24.50}{7}[/tex]

Simplify in order to find the cost per gallon.

The cost per gallon is $3.50 because 7 divided by 7 is one and 24.50 divided by seven is 3.5.

Now you have this left:

[tex]\frac{3.50}{1}[/tex]

Multiply the denominator by 15 since Robert needs 15 gallons.

Then, multiply the top by 15 because whatever you do to the denominator, you have to do to the top.

Now you have this left:

[tex]\frac{3.5}{1}[/tex] = [tex]\frac{52.50}{15}[/tex]

Therefore, Robert needs to pay $52.50 in order to recieve 15 gallons of gasoline.

The perimeter of an isosceles triangle is 15.6 cm. Find the lengths of its sides, if: The base is 3 cm smaller than a leg.

Answers

Answer:

The sides of the isosceles triangle are 3.2 cm, 6.2 cm and 6.2 cm

Step-by-step explanation:

The sides of an isosceles triangle are equal in length

Let the base be x cm

Since it is 3 cm smaller than a leg, the legs will be (x + 3) cm

To find the perimeter of a triangle, we add up the sides

x + x + 3 + x + 3 = 15.6

3x + 6 = 15.6

3x = 15.6 - 6

3x = 9.6

x = 9.6/3

x = 3.2 cm

So the base is 3 + 3.2 =6.2 cm

Select "Rational" or "Irrational" to classify each number

Answers

Answer:

rational

Step-by-step explanation:

I'm coochie man

What numbers? please go into further explanation

Joe pays $25.10 for 2.5 pounds of wall-paper. What is the price, in dollars and cents, per pound of wall paper?

Answers

Answer:

10.04

Step-by-step explanation:

25.10/2.5=10.04

Answer:

10.04

Step-by-step explanation:

All you do is divide 25.10 by 2.5, the total($25.10) by the amount(2.5) then that is where

25.10 divided by 2.5 comes from, therefore your answer is 10.04

WHICH ONE DO I PICK?

Answers

AAS theorem I believe

Jim stands on a dock that is 3 3/4 feet above the lake. He dives down 12 1/2 feet below the dock. What is Jims vertical location relative to the lake surface?

Answers

Given:

Jim stands on a dock that is [tex]3\dfrac{3}{4}[/tex] feet above the lake. He dives down [tex]12\dfrac{1}{2}[/tex] feet below the dock.

To find:

The Jims vertical location relative to the lake surface.

Solution:

We have,

Vertical location of dock relative to the lake surface [tex]=3\dfrac{3}{4}[/tex] feet

He dives down [tex]12\dfrac{1}{2}[/tex] feet below the dock. So,

Vertical location relative to the lake surface [tex]=3\dfrac{3}{4}-12\dfrac{1}{2}[/tex]

[tex]=\dfrac{3\times 4+3}{4}-\dfrac{12\times 2+1}{2}[/tex]

[tex]=\dfrac{12+3}{4}-\dfrac{24+1}{2}[/tex]

[tex]=\dfrac{15}{4}-\dfrac{25}{2}[/tex]

Taking LCM, we get

[tex]=\dfrac{15-50}{4}[/tex]

[tex]=\dfrac{-35}{4}[/tex]

[tex]=-8\dfrac{3}{4}[/tex]

Here, negative sign means Jim location is below the lake surface.

Therefore, Jim is [tex]8\dfrac{3}{4}[/tex] feet below the lake surface.

Answer:-8 3/4

Step-by-step explanation:

I just took the cahoot

please help me.
im dying

Answers

Answer:

19/37

Step-by-step explanation:

47/148 + 29/148 = 76/148 = 38/74 = 19/37

Draw a graph of the line that goes through the points (-4, 7) and (0, 3)
What is the y-intercept and slope of the line you've drawn?

Answers

Answer:

y = -x + 3

Step-by-step explanation:

Use this formula to get the slope [tex]\frac{y2 - y1}{x2 - x1}[/tex]

PLUG IN

[tex]\frac{3 - 7}{0 - -4} \\\\\frac{-4}{4} \\[/tex]

-4/4 = -1

The slope is -1

To find the y- intercept plug your slope and one of your points in this y=mx+b

We will use (0,3)

3 = -1(0) + b (b represents y-intercept)

3 = b

The equation would look like this

y = -x + 3

Hope this helps ya!!

Write an equation in slope-intercept form for a line with m = 3 and includes the
point (0, 2).

Answers

Answer:

y=3x+2

Step-by-step explanation:

dont put  0 because it dont make sense

if you put 0 n the equation, you will not will get the right equation

Please help if you can Thank you so much!

Answers

Answer:

Answers in explanations, hope they're correct!

Step-by-step explanation:

12. You will be using 0 gallons of gas when traveling 0 miles.

13. 20 gallons

14. (2,6)

15. You will package 15 dozens of cupcakes after 5 hours

Answer:

12: 0 miles uses 0 gallons of gas

13: 20 gallons

14: (1,3)

15: it takes 5 hours to make 15 dozen cupcakes

Step-by-step explanation:

13) 4 gallons for every 100 so multiple by 5 for 500

CAN SOMEONE PLEASE HELP! I WILL MARK BRIANLIEST

Answers

Answer:

yes is is proportional

x=ydivided by 3.5

Step-by-step explanation:

Answer: multiplying by 3.5

Step-by-step explanation: because if you divide 7 by 2 you will 3.5

What is the inequality of this graph?

Answers

Answer: y < 3x -4

Step-by-step explanation:

We know two points of line: (0,-4) and (1,-1)

Therefore, we can find the slope: 3/1.

We know the y intercept.

Dashed line means the inequality is not apart of the region.

y < 3x-4

(b) A solid metal cone has radius 1.65 cm and slant height 4.70 cm.
Calculate the volume of the cone.

Answers

Answer:

13.4

Step-by-step explanation:

πr2h

3

Answer:

12.5

Step-by-step explanation:

use pythag to find perpendicular height

then from that your answer should be 4.40cm

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