Jeremy is recording the weights, in ounces, of different rock samples in a lab. The weights of seven rocks are listed below.

11, 13, 14, 6, 10, 9, 10

The eighth rock that he weighed was 5 ounces. How would the interquartile range of the data be affected if Jeremy includes the weight of the eighth rock?

Jeremy is recording the weights, in ounces, of different rock samples in a lab. The weights of seven rocks are listed below.

11, 13, 14, 6, 10, 9, 10

The eighth rock that he weighed was 5 ounces. How would the interquartile range of the data be affected if Jeremy includes the weight of the eighth rock?

Answers

Answer 1

Answer:

The value of the (RIC) will increase from 4 to 5.75, that is, 44%

Step-by-step explanation:

To answer this question you have to know the definition of Rank well.

The range is defined as the difference between the maximum and minimum value of a series of data. Xmax - Xmin

The interleaving range (RIC) is a measure of dispersion that measures the central range of 50% of the data.

Therefore, if a low value is included, such as five, the variance of the data would be greater and, consequently, the value of the (RIC) will increase from 4 to 5.75, that is, 44%

Answer 2

Answer:

Hence the interquartile range increased by 3(7-4) when we included the eight weight.

Step-by-step explanation:

The weight of the seven rocks is given as:

11     13     14     6     10     9      10

on arranging the data in the ascending order we get the observation as:

6     9    10    10    11     13    14

we divide our data into 3 sets:

the median of data([tex]Q_2[/tex]) is: 10 (as it is the middle value among the data)

The lower set of data is:

6    9    10

[tex]Q_1=9[/tex] ( as it is the middle value)

The upper set of data is:

11     13     14

[tex]Q_3=13[/tex]  ( as it is the middle value in the upper set of data)

Hence, the interquartile range is: [tex]Q_3-Q_1=13-9=4[/tex]

The weight of eight rocks is given as:

11      13     14      6      10     9    10     5

On arranging the data in ascending order we get:

5       6        9     10     10    11      13     14

The median of the data is denoted by [tex]Q_2[/tex] which is the middle value of the given data.

Hence the median here is between 10, 10.

so, the median is given by:

[tex]\dfrac{10+10}{2}=10[/tex]

thus [tex]Q_2=10[/tex]

also the lower set of data is:

5    6    9

Thus [tex]Q_1=6[/tex] (as it is the middle value in the lower set of data)

the upper set of data is:

11   13   14

Thus [tex]Q_3=13[/tex]

Hence, the interquartile range is:

[tex]Q_3-Q_1=13-6=7[/tex]

So when we were having seven weights the interquartile range was: 4

and when we included the eight weight the interquartile range becomes: 7

Hence the interquartile range increased by 3(7-4) when we included the eight weight.





Related Questions

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15 POINTS!!!!!

Answers

the value of n is 4 because you have to subtract 7n from both sides and then subtract 16 from both sides then the last step is to divide -4 from both sides and you get 4

Answer:

4

Step-by-step explanation:

3n + 16 = 7n is to be solved for n.  Subtract 3n from both sides, obtaining 16 = 4n.

Now divide both sides by 4, obtaining n = 4.


A plus catering services typically plans on making 5 meals more than what the client has purchased in order to be sure they have enough food. This cost is passed onto the client. Each meal cost the client $17.

Which expression below describes the total amount of money charged to the client for any number of meals purchased.


A. (17 +5)x

B. 17(x + 5)

C. 17x + 5

D. 17 + 5x

Answers

B. 17 + ( x + 5 ) is the answer

b. is the answer if u need to know how just ask me

use the fact that 147*16=2352 to write two different multiplication facts that have a product of 2352

Answers

Im guessing that your teacher wants you to apply the fact that no matter what order your numbers are in when adding or multiplying your outcome will be the same. So one multiplication fact is 16*147=2352 . Also if you multiply a negative times a negative you will get a positive number so -147*-16=2352 .

I hope this helps a lil:)

Two different facts using the original fact of 147 multiplied by 16 to reach the product of 2352 are 73.5 multiplied by 32 and 147 multiplied by 16.

To find two different multiplication facts that have a product of 2352, using the fact that 147 multiplied by 16 equals 2352, we can manipulate the factors in various ways. One way is to halve one of the factors and double the other. If we take half of 147, we get 73.5, and doubling 16 gives us 32. Therefore, 73.5 multiplied by 32 is one multiplication fact that equals 2352. Another way is to multiply both factors by the same number. If we multiply both 147 and 16 by 1, technically we get a different multiplication expression with the same product. This means 147 multiplied by 16 is still valid since we have applied the identity operation (multiplying by 1).

In summary, two different facts using the original fact of 147 multiplied by 16 to reach the product of 2352 are 73.5 multiplied by 32 and 147 multiplied by 16.

Help quickly limited time 20 points!!!!!!!!!
Which of the following equations has the given solution set?

Solution set: Ø

-2m + 5 = 2m + 5
-2m + 5 = -2m + 5
-2m + 5 = -2m - 5

Answers

So,

-2m+5=-2m-5

-2m + 2m = -5 - 5

0 = -10

which is no solution.


Therefore, the required equation is -2m + 5 = -2m - 5.


Which of the following is an adjustment allowed by the IRS?

A.) Dental Expenses
B.) Medical Expenses
C.) Work Expenses
D.) Moving Expenses

Answers

Answer: moving expenses apx xx

Step-by-step explanation: apix approveddfmdo

The correct answer is moving expenses which are allowed by the IRS option (D) is correct.

What are moving expenses?

The reasonable costs of moving home goods and personal possessions to a new residence are characterized as moving expenses. These expenditures also include the employee's and his or her immediate family's journey to the new location.

You can deduct charges for transporting a trailer, packing, crating, in-transit storage, and insurance when relocating your household items and personal effects.

The moving expenses adjustment is allowed by IRS.

Thus, the correct answer is moving expenses which are allowed by the IRS option (D) is correct.

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What is the square root of 25/81??

Answers

Find the square root of 25, which is 5.

Then find the square root of 81, which is 9.

Then put them back into the fraction: 5/9

5/9, when square rooting fractions like these, you square root them seperatly. Square root of 25 is 5 and square root of 81 is 9.

f=1/6(g+h-k) solve for g

Answers

let me see the whole thing, theres no enough info

The value of g will be as g = 6f - h + k.

What is a system of equations?

A system of equations is two or more equations that can be solved to get a unique solution. the power of the equation must be in one degree.

The given equation is

f=1/6(g+h-k)

WE have to solve the equation for g;

f = 1/6(g+h-k)

By cross multiplication;

6f = g + h - k

g = 6f - h + k

Thus, the value of g will be as g = 6f - h + k.

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Multiply 6
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Why is a coordinate plane useful for graphing locations? Why is it useful as a map?

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The ratio of the length to the height of the American flag is 3:2. If the length of the American flag is 1.8 yards, what is the height?

Answers

27:10

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To find the height of the American flag, convert the known length from yards to feet, use the given ratio to set up a proportion, solve it to find the height in feet, and then convert it back to yards, resulting in a height of 1.2 yards.

The ratio of the length to the height of the American flag is given as 3:2. Knowing that the length of the flag is 1.8 yards, we can set up a proportion to find the height. Since we know that 1 yard equals 3 feet, we first convert the length into feet. 1.8 yards is equivalent to [tex]1.8 imes 3 = 5.4 feet[/tex]. Using the ratio 3:2, we can write the proportion as 3/2 = 5.4/height in feet. To solve for the height, we cross-multiply and [tex]get 2 imes 5.4 = 3 imes height,[/tex] yielding 10.8 = 3  imes height. Dividing both sides by 3 gives us the height as 3.6 feet. To convert feet back to yards, we recall that 3 feet equal 1 yard, and hence, 3.6 feet is 1.2 yards. Therefore, the height of the American flag is 1.2 yards.

Solve for x.

x+15.09=−2.57

Answers

x+15.09= -2.57

x= -17.66

If you want the value of x: you would have to subtract -15.09 on both sides.

x+15.09-15.09=-2.57-15.09

x=-17.66

Grandview Golf makes wooden golf tees. in 2010 they made 380,285 tees. in 2011 they made 513,525 tees. to the nearest ten thousand how many tees did they make in the two years

Answers

Answer:

They made 890,000 tees.

Step-by-step explanation:

You have the following information given in the problem above:

-  In 2010 they made 380,285 tees.

-  In 2011 they made 513,525 tees.

2. Therefore, to calculate the amount of tees made by them in the two years, you only need to add the amount of tees they made in 2010 and 2011, as following:

[tex]380,285+513,525=893,810[/tex] tees

3. To the nearest ten thousand: 890,000 tees.


Ms. Edwards is redecorating her office. She has a choice of 8 colors of paint, 5 kinds of curtains, and 6 colors of carpet. How many different ways are there to redecorate? A.240 B.19 C.297 D.357
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Answers

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Answers


[tex] \frac{a + 2}{3} = \frac{a - 4}{6} \\ 6(a + 2) = 3(a - 4) \\ 6a + 12 = 3a - 12 \\ 3a = - 24 \\ a = - 8[/tex]

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John has 28 apples he eats 6 how many apples does he have left

Answers

22. 28 minus(eats) 6 is 22.


Round 32,879 to the nearest thousand and use a number line to model your thinking

Answers

Solution

The given number is 32, 897

Here we need to round the thousand place.

Find the number in the thousands place.

We have 2 in the thousands place.

Look for digit which is right to 2.

We have 8, which is greater than 5, if we have the number greater than 5 we have to add 1 with thousands place and make the other numbers zeros.

Since we have 8 right to the number 2, so we add 1 with 2.

2 + 1 = 3

Now thousands place became 3 and make other digits zero.

32, 879 = 33, 000

The answer is 33,000

Note: Here I have attached the place value chart.

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Answers

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a number is multiplied by 4. Next, 3 is added to the product, ans then 11 is substracted. If the result is 24, what is the number

Answers

Answer:

8

Step-by-step explanation:

work backward

24+11=35

35-3=32

32/4=8


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Answers

Question 9:

[tex]\frac{20*(5)}{50}[/tex]                    Simplify what is in the parenthesis

[tex]\frac{100}{50}[/tex]                        Multiply 20 to 5

[tex]2[/tex]                                            Divide 50 to 100

*(Answer)*= [tex]2[/tex]  

Question 10:

[tex]5+(18)[/tex] ÷ [tex]6[/tex]                Simplify what is in the parenthesis      

[tex]5+3[/tex]                                         Divide 6 to 18

[tex]8[/tex]                                              Add 5 to 3

*(Answer)*= 8

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User who answered: BangtanBoyScouts






Need help with Foundation of Mathematics 11, Question is attached

Answers

Here's another picture of the same thing. There is one in Saskatchewan (I live in Alberta, so that is my next door neighbor). I was wondering if this faced essentially east west.

If it did, then it likely had some sort of religious significance having to do with sun worship. Since the labeling is so carefully done, I think the bisector is probably pointing very near due east and is in the fall solstice. All of this could be coincidental or it could mean something more serious (like sun worship). Man is very ingenious where his religious expressions are concerned.


Divide. 1.74÷(−0.06)

Answers

Answer:

- 29

Step-by-step explanation:

Multiply numerator and denominator by 100. It isn't necessary, but it makes the problem easier to see.

174 / (-6)

Put into your calculator like  this

174

÷

(-)

6

=

And the answer comes out as - 29


800,00 rounded to the nearest hundred thousand

Answers

It is 80,000 im not sure what you meant by "800,00"

Which of the following equations represents the line that passes throught the points (2, -6) and (-4,3)?

Answers

First, find the slope of the line that goes through the 2 given points, which you should know how to do.  Call it m.  Then a perpendicular line must have a slope of -1/m.  The slope-intercept form of the equation you seek is

y = (-1/m)x + b,

where b is any real number.  Examine the list of choices, and pick any that have a slope of -1/m.

The equation that represents the line that passes through the points (2, -6) and (-4,3) is 2y + 3x = -6.

How to find the equations represent the line that passes through the points (2, -6) and (-4,3)?

The equation of the line that passes through the points (x1,y1) and (x2,y2) can be obtained with the formula:

[tex]y-y_1 = m (x-x_1)[/tex]

The slope of the points are

[tex]m=\dfrac{y_1-y_2}{x_1-x_2}[/tex]

We need to find the equation that represents the line that passes through the points (2, -6) and (-4,3)

[tex]m=\dfrac{y_1-y_2}{x_1-x_2}[/tex]

[tex]m=\dfrac{3+6}{-4-2}\\\\\\ m = 9/-6 = -3/2\\[/tex]

So, the equation is:

[tex]y-y_1 = m (x-x_1)\\\\y +6 = -3/2(x -2)\\\\2y +12 = -3x +6\\\\2y + 3x = -6[/tex]

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What is 24:4 in lowest terms

Answers

24:4 in lowest terms would be 6:1

Answer,

6:1

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[tex]QS=TV\\\\3v+2=7v-6\\\\4v=8\\\\v=2\\\\QS=TV=3\cdot2+2=8\\[/tex]

Find f'(x)
f(x)=(1-2x^2)^3

Answers

Answer:  f'(x) = 12x  + 48x³ - 48x⁵

Step-by-step explanation:

f(x) = (1 - 2x²)³

     = (1 - 2x²)(1 - 4x² + 4x⁴)

         1 - 4x² + 4x⁴

           -2x² + 8x⁴ - 8x⁶

     =  1 - 6x² + 12x⁴ - 8x⁶

f'(x) = 0 -2(6)x²⁻¹ + 4(12)x⁴⁻¹ - 6(8)x⁶⁻¹

      =     12x  + 48x³ - 48x⁵

Find dy/dx for the function y+4x²

Answers

[tex]\dfrac{\partial }{\partial x}(y+4x^2)=0+8x=8x[/tex]

John wants to buy a new bike That cost $337 and he already has saved $103 estimate to find about how much more Johnny’s to see if to buy the bike

Answers

estimate......

340 - 100 = 240

337 -> 340

103 -> 100

340-100

= 240 left to save

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