Here are the IQ scores of 10 randomly chosen fifth-grade students: 145,139,126,122,125,13,96,110,118,118. TRUE OR FALSE If the value 96 were removed from the data set, the IQR of the remaining 9 IQ scores would be lower than the IQR of all 10 scores.

Answers

Answer 1

that is false it would go from average mean of 118.2 to 120.2. Since it was one of the lower scores it would of improved, leaving room for the higher IQ's. (thank you for help before)

Answer 2

False, because the IQR of 9 observations is 17 and the IQR of 10 observations is 13.

The given observations are 145, 139, 126, 122, 125, 113, 96, 110, 118, 118.

What is inter quartile range?

The Interquartile Range (IQR) formula is a measure of the middle 50% of a data set. The smallest of all the measures of dispersion in statistics is called the Interquartile Range. The difference between the upper and lower quartile is known as the interquartile range.

Interquartile range = Upper Quartile - Lower Quartile

Q2=Q3 - Q1

Ascending order of the given observation is

96, 110, 113, 118, 118, 122, 125, 126, 139, 145

Here, Q1 (median of lower quartile) =113 and

Q3 (median of upper quartile) =126

Q2= 126-113

= 13

The value 96 were removed from the data set, so

110, 113, 118, 118, 122, 125, 126, 139, 145

Q1 =(113+118)/2 =115.5

Q3 =(126+139)/2

= 132.5

Q2 =132.5-115.5

= 17

False, because the IQR of 9 observations is 17 and the IQR of 10 observations is 13.

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Related Questions

A boy throws a baseball across a field. The ball reaches its maximum height, 18 meters, after 1 second. After approximately 2.3 seconds, the ball lands on the ground. The ball’s motion can be modeled using the function f(x) = –10x2 + 20x + 8. What is the height of the ball 1.5 seconds after it is thrown?

Answers

Answer:

15.5 NOT 17

Step-by-step explanation:

How many times does 6 go into 87?

Answers

87 ÷ 6
8 ÷ 6 = 1 (remainder 2)
27 ÷ 6 = 4 (remainder 3)
30 ÷ 6 = 5
So it goes in 14 times, but exactly 14.5 times if you want a decimal.

During a period of deflation, the graph of the consumer price index (CPI) will rise.

A. True
B. False ...?

Answers

The correct answer for this statement would be option B. FALSE. It is not true not during a period of deflation, the graph of the consumer price index or CPI will rise, but rather, it would show a downward pattern. The consumer price index measures changes in the price level of a market basket of consumer goods and services. Hope this answer helps.

Final answer:

The statement is false; during a period of deflation, the Consumer Price Index (CPI) would decrease, not rise, reflecting a decrease in the average level of prices.

Explanation:

The answer to the student's question is B. False. During a period of deflation, the Consumer Price Index (CPI) would not rise; it would actually decrease. This is because deflation is characterized by a decrease in the average level of prices. For instance, during the Great Depression, a notable period of deflation, the CPI in the United States fell from 17.2 in 1929 to 12.9 in 1933, illustrating a decline in the general price level. Conversely, inflation will cause the CPI to rise because it reflects an increase in prices over time.

The Consumer Price Index is an economic indicator often used to measure inflation or deflation in an economy. A rise in CPI indicates inflation, whereas a drop indicates deflation. As inflation and deflation affect the real value of money, observing the changes in the CPI helps to understand the purchasing power of currency over time.

What 3 times itself equals 1331?

Answers

So [tex] x^{3} =1331[/tex].
Then, [tex]x= \sqrt[3]{1331} [/tex].
[tex]x=11[/tex]

The answer's 11.

Answer:

Step-by-step explanation:

What does the line -5+8y=8 look like?

Answers

Answer:

Is a horizontal line

Step-by-step explanation:

we have

[tex]-5+8y=8[/tex]

Solve for y

Adds [tex]5[/tex] both sides

[tex]-5+8y+5=8+5[/tex]

[tex]8y=13[/tex]

Divide by [tex]8[/tex] both sides

[tex]y=13/8[/tex]

[tex]y=1.625[/tex]

This is a horizontal line parallel to the x-axis

The slope is equal to zero

see the attached figure to better understand the problem

The discriminant of a quadratic equation is negative. One solution is 3+4i . What is the other solution?
A.4-3i
B.3-4i
C.4+3i
D.-3+4i

Answers

I hope this helps you

3-4i

The way you stated the problem, there is an infinity of possibilities for the other solution.

► For instance, the quadratic equation:
   x² – (6 + 4i)x + (9 + 12i) = 0
has for discriminant:
   Δ = (6 + 4i)² – 4(9 + 12i) = 36 – 16 + 48i – 36 – 48i = -16
which is indeed negative.
Its solutions will then be:
   x₁ = [(6 + 4i) + 4i]/2 = 3 + 4i
   x₂ = [(6 + 4i) – 4i]/2 = 3
And the other solution here is 3.

► If you are not convinced, the quadratic equation:
   x² – (6 + 5i)x + (5 + 15i) = 0
has for discriminant:
   Δ = (6 + 5i)² – 4(5 + 15i) = 36 – 25 + 60i – 20 – 60i = -9
which is indeed negative.
Its solutions will then be:
   x₁ = [(6 + 5i) + 3i]/2 = 3 + 4i
   x₂ = [(6 + 5i) – 3i]/2 = 3 + i
And the other solution here is 3+i.

► In fact, every quadratic equation of the form:
   x² – [6 + (4 + α)i]x + (3 + 4i)(3 + αi) = 0
where α is any real, has for discriminant:
   Δ = [6 + (4 + α)i]² – 4(3 + 4i)(3 + αi)
      = 36 – (4 + α)² + 12(4 + α)i – 36 + 16α – 12(4 + α)i
      = 16α – (4 + α)²
      = 16α – 16 – 8α – α²
      = -16 + 8α – α²
      = -(α – 4)²
WILL be negative.
Their solutions will then be:
   x₁ = [ [6 + (4 + α)i] – (α – 4)i ]/2 = 3 + 4i
   x₂ = [ [6 + (4 + α)i] + (α – 4)i ]/2 = 3 + αi
And the other solution will then be is 3+αi.

Since α can take any real value, you'll obtain an infinity of solutions of the form 3+αi.

► So conclusively:
If the discriminant of a quadratic is negative AND one of the solutions is 3+4i, the only thing we can say about the other solution is that its real part must be 3.

Louann and Carla received equal scores on a test made up of multiple choice questions and an essay. Louann got 14 multiple choice questions correct and received 24 points for her essay. Carla got 16 multiple choice questions correct and received 14 points for her essay.

How many points was each multiple choice question worth?

Answers

Let the number of points of each multiple choice question be x, then
14x + 24 = 16x + 14
16x - 14x = 24 - 14
2x = 10
x = 10/2 = 5.

Therefore, each multiple choice question is 5 marks.

An isosceles trapezoid has shorter base of measure a, longer base of measure c, and congruent legs of measure b. The perimeter of the trapezoid is 58 inches. The average of the bases is 19 inches and the longer base is twice the leg plus 7. Find the lengths of the sides.

Answers

Perimeter of the trapezoid = a + c + 2b
58 = a + c + 2b

Average of bases = (a + c)/2
19 = (a + c)/2
a + c = 38
Substituting (a + c) into the first equation:

58 = 38 + 2b
b = 10 in

We also know that:
c = 2b + 7
c = 2(10) + 7
c = 27 in

a + 27 = 38
a = 11 in

a = 11 in; b = 10 in; c = 27 in

Molly's basic cell phone plan charges $35.99 for service plus $0.21 per minute beyond the included 250 minutes in the plan. How much will it cost if she used her cell phone for 480 minutes in one month? ...?

Answers

The answer is $84.29

Let the number of minutes be x.
$35.99 is fixed price and does not depend on the number of minutes x. Each minute costs $0.21 so it depends on x and we have 0.21x in the function. However, 250 minutes are already included and should not be included in x. Therefore, the function that represents the monthly cost looks like this:
f(x) = 35.99 + 0.21 * (x - 250)

Now, let's calculate for x = 480 minutes:
f(480) = 35.99 + 0.21 * (480 - 250)
f(480) = 35.99 + 0.21 * 230
f(480) = 35.99 + 48.30
f(480) = 84.29

23 + 45 - 48 + 34 * x = 292

What does x equal

Answers

Solve for x by simplifying both sides of the equation, then isolating the variable.
x = 8

Simplifying
23 + 45 + -48 + 34x = 292

Combine like terms: 23 + 45 = 68
68 + -48 + 34x = 292

Combine like terms: 68 + -48 = 20
20 + 34x = 292

Solving
20 + 34x = 292

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right

Add '-20' to each side of the equation.
20 + -20 + 34x = 292 + -20

Combine like terms: 20 + -20 = 0
0 + 34x = 292 + -20
34x = 292 + -20

Combine like terms:
292 + -20 = 272 34x = 272

Divide each side by '34'.
x = 8

Simplifying x = 8

Hope it helped : )

Solve -9-8(1+4h)=-17

Answers

-9-8(1+4h) = -17. We need to solve for h.
First, use the distributive property for 8(1+4h):
8(1+4h) = 8*1 + 8*4h = 8 + 32h

So -9-8(1+4h) = -17
-9 - (8+32h) = -17
-9 - 8 - 32h = -17
-17 - 32h = - 17
Add 17 on both sides to have the variables on a side and the numbers on the other:
-17 - 32h + 17 = -17 + 17
-32h = 0
divide both sides by -32 to get the variable h alone and its value on the other side:
(-32h)/-32 = 0/-32
h = 0.

So -9-8(1+4h) = -17 for h = 0.

You can recheck your answer (very important):
-9 - 8(1+4h) = -9 -8(1+4*0) = -9 - 8(1+0) = -9-8*1 = -9-8 = -17
The answer has been approved.

Hope this Helps! :)

Hi Jeannie

-9-8(1+4h) = -17
First, we need to distribute
-9 +(-8)(1) +(-8)(4h) = -17
-9 -8 - 32h = -17
-17 - 32h = -17
-32h = -17 + 17
-32h = 0
h = 0/-32
h = 0

I hope that's help !

525.4 is 74% of what number

Answers

Let, that number = x
It would be: x * 0.74 = 525.4
x = 525.4 / 0.74
x = 710

So, the number would be 710

Hope this helps!

Translate this word phrase into an equation. one increased by two equals the quotient of nine and three

Answers

Here is the equation for this word phrase:
1 + 2 = 9 / 3
Quotient is the result of division.

Final answer:

The translation of the word phrase into an equation is 1 + 2 = 9 ÷ 3. Solving the equation by performing division before addition verifies its correctness, resulting in 3 = 3.

Explanation:

The word phrase "one increased by two equals the quotient of nine and three" can be translated into an algebraic equation as follows:

1 + 2 = 9 ÷ 3

To solve the equation, perform the division on the right side of the equals sign first, as per the order of operations (PEMDAS/BODMAS), which states that division should be completed before addition:

1 + 2 = 3

Then adding the numbers on the left side:

3 = 3

This confirms that the given translation of the word phrase into an equation is correct, as both sides of the equation are equal.

If 4(x-2/3)=-18, what is the value of 2x?

Answers

4(x-2/3) = -18
4x - 8/3 = -18
4x = -54/3 + 8/3
4x = -46/3
x = -46/3 * 1/4
x = -46/12
x = -23/2

2x = -23/2 * 2
2x = -46/2
2x = -23

Jill Barkely obtained a 25-year, $460,000 mortgage loan from University Savings and Loan Association with 6% interest. The monthly payment is $2,962.40. For the first payment, find the interest to the nearest cent.

Answers

Have you considered calculating it directly? $2,962.40*(0.06/12)
If you do that then your answer would be 14.81...
Hope this helps... :)

2x -3 =6

Value of x

Help_

Answers

2x - 3 = 6
2x = 6 + 3
2x = 9
x = 9/2
x = 4.5

The value of x is 4.5

Add 3 to both sides

[tex]2x=6+3 [/tex]

Simplify 6+3 to 9

[tex]2x=9[/tex]

Divide both sides by 2

[tex]x=9/2[/tex]

What are the coordinates of the focus of the conic section shown below?

y^2-4x+4y-4=0

...?

Answers

the answer is
y^2-4x+4y-4=y^2+4y-4x-4=(y+2)²-4x - 8= 0
it is the same of x + 2 = (1/4 ) (y+2)²

the main formula is x-h= a (y-k)² so h=-2, k= - 2 and a=1/4

Answer:

(-1,-2) is the correct answer

Step-by-step explanation:

during a special sale all video games cost $26 & all movied cost $14. Jack plans to spend some or all of his $220 in bday money on these movies & video games.
WRITE AN INEQUALITY

Answers

$26g + $14m ≤ $220

g represents the number of video games bought
m represents the number of movies bought

Final answer:

The inequality that represents Jack's budget constraints for purchasing video games and movies is 26x + 14y ≤ 220, where x is the number of video games and y is the number of movies.

Explanation:

To write an inequality representing Jack's spending on movies and video games with the given budget, we first assign a variable to the quantity of each item Jack could purchase. Let x represent the number of video games and y represent the number of movies. Since video games cost $26 each and movies cost $14 each, and Jack has $220 to spend, the inequality representing this scenario is:

26x + 14y ≤ 220

Here, x and y must be non-negative integers because you cannot purchase a negative amount or a fraction of a game or movie. This inequality ensures that the total amount spent on video games and movies does not exceed Jack's budget of $220.

An angle measures 41 degrees. What is the measure of its complement?

Answers

This angle is called and acute angle.
Hope This Helps!!
:)

49 is the answerfawertgsdrgeatat4w3

What conditions give 2 roots, one root and no root?

Answers

The discriminant D is found by this formula

D = b^2 - 4ac

there are 3 possible outcomes

1) If D is smaller than 0, ie D < 0, then there are no roots

2) If D is equal to zero (D = 0), then there is exactly one root. This root is rational assuming the coefficients are integers. This is called a double root

3) If D > 0, then there are 2 different roots. If D is a perfect square, then these two roots are rational numbers (aka fractions of whole numbers) assuming the coefficients are integers. If D is not a perfect square, then the two roots are irrational numbers.

Simplify 7x 7 6x - 9.

Answers

7x + 7 + 6x - 9 =13x - 2

Answer:

[tex]13x -2[/tex]

Step-by-step explanation:

7x +7+6x - 9

simplify the given expression

To simplify the given expression we add like terms

the terms that as same variables with same exponent are like terms

7x and 6x are like terms

7x + 6x = 13x

+7 -9 = -2

So expression becomes [tex]13x -2[/tex]

What is 1 and 3\11 as an improper fraction?

Answers

14/11
11×1 +3 and you will get your answer

What you have to do to find the improper fraction is you ...

•multiply the denominator with the whole number

•add what you got to the numerator

•still use the same denominator

1•11=11
11+3=14

14/11
14/11=1.3/11

A sneaker store salesman had $4,125 in total monthly sales last month. he made $165 in commission from those sales. what is the salesman's commission as a percent of his total monthly sales?

Answers

He made [tex]\frac{165}{4125}[/tex] as a commission. To turn that into a percentage, you need to make the bottom become 100. Multiply the top and bottom by [tex]\frac{100}{4125}[/tex] to get the proper fraction. The fraction now is [tex]\frac{\frac{16500}{4125}}{100}[/tex] This simplifies to [tex]\frac{4}{100}[/tex]. Now all you need to do is take the top of that fraction to get the percentage, which is 4%.

4%

A student studying for a vocabulary test knows the meanings of 16 words from a list of 26 words. If the test contains 10 words from the study list, what is the probability that at least 8 of the words on the test are words that the student knows? (Round your answer to three decimal places.)

Answers

To get the probability that at least 8 of the words on the test are words that students know we need to do the following calculations.

=[C(16,8)*C(10,2) + C(16,9)*C(10,1) + C(16,10)*C(10,0)] / C(26,10)

=0.132

Final answer:

To find the probability that at least 8 of the words on a 10-word test are known by a student, calculate the probabilities for exactly 8, 9, and 10 known words and sum them. Use combinations to determine the probabilities and round the final answer to three decimal places.

Explanation:

The student knows 16 words out of 26, and the test contains 10 words. To find the probability that at least 8 out of 10 words on the test are known to the student, we need to calculate the probability for exactly 8, 9, and 10 known words, using combinations, and then sum these probabilities.

Let's denote K as knowing the word and N as not knowing the word. The total number of ways to choose 10 words out of 26 is given by 26 choose 10, denoted as C(26,10).

The probability of getting exactly 8 known words is given by (C(16,8) * C(10,2)) / C(26,10).

The probability of getting exactly 9 known words is (C(16,9) * C(10,1)) / C(26,10).

The probability of getting all 10 known words is (C(16,10) * C(10,0)) / C(26,10).

We add these probabilities together to get the total probability that the student knows at least 8 out of 10 words:

P(8 known words) = (C(16,8) * C(10,2)) / C(26,10)
P(9 known words) = (C(16,9) * C(10,1)) / C(26,10)
P(10 known words) = (C(16,10) * C(10,0)) / C(26,10)

We sum these individual probabilities to obtain the final answer. The result should be rounded to three decimal places as per the instructions given in the question.

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Which inequality models this problem?

The length of a rectangle is five times its width. If the perimeter is at most 96 centimeters, what is the greatest possible value for the width?

A.

2w + 2 • (5w) ≤ 96

B.

2w + 2 • (5w) ≥ 96

C.

2w + 2 • (5w) < 96

D.

2w + 2 • (5w) > 96

Answers

the true answer is
A.

2w + 2 • (5w) ≤ 96
because
the value of 2w + 2L is
is at most 96 centimeters, it means 2w + 2L ≤ 96

Answer:the answer is A

Step-by-step explanation:took the test and got it right

How many faces does a rectangle have?

Answers

4 because it has four sides

Would you many rectangular prism?
If so it would be 6 just like a cube

Find the slope the line that contains (2,4) and (4,4)

Answers

4+4/4+2 =4/3 ...The answer is this

Slope between points (x,y) and (a,b) is given by( b-y) over (a-x).. Thus4-4 over 4-2 equals 0 is your answer... The line joining these two above points is parallel to X axis or perpendicular to y axis .on y axis this line intersects at (0,4)...

Tess has 2 1/2 cups of fruit. how many 3/4 cup servings can she make?

Answers

only 3 full servings.

The area of a trapezoid is given by the formula A =1/2 (b 1 + b 2)h, where base b 1 is parallel to base b 2 and h is the height. Solve the formula for b 2. Show your work.

Answers

The answer is b2 = 2A/h - b1

A = 1/2(b1 + b2)h

Multiply both sides by 2:
2 * A = 2 * 1/2(b1 + b2)h
2A = (b1 + b2)h

Divide both sides by h:
2A/h = (b1 + b2)h/h
2A/h = b1 + b2

Subtract b1 from both sides:
2A/h - b1 = b1 + b2 - b1
2A/h - b1 = b2

Mr. jones has agreed to borrow $3500 for one year st 10% interest. what is the total amount he will pay back to the bank?

Answers

$ 3500 × 10 /100 × 1 = $ 3850

The total amount Mr. Jones will pay back after borrowing $3500 for a year at 10% interest rate is $3850, simply add the interest to the principal amount borrowed.

Mr. Jones borrowed $3500 for one year at 10% interest rate. The total amount he will pay back to the bank can be calculated as follows:

Interest = Principal x Rate = $3500 x 0.10 = $350

Total amount to be paid back = Principal + Interest = $3500 + $350 = $3850

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Describe a strategy for converting a rate measured in one pair of units to rate measured in a diferrent pair of unit. for example how would you convert ounces per cup to pound per gallon Felix buys a carpet for $230. The price is $3.50 per square foot. If Felix had a special discount coupon for $50 off, which linear equation could be used to find the area, A, of the carpet? Maggie has $14,100 to invest, and wishes to gain $4,000 in interest over the next eight years. Approximately what is the minimum simple interest rate Maggie needs to reach her goal? a. 2.89% b. 3.55% c. 4.95% d. 5.18% how do you solve 21/4=1/2x+3x and whats the answer? Find (fg)(-4) when f(x) = x + 5 and g(x) = 5x2 + 10x - 5. What is the source of a stream called? A.Reservoir B.Creek C.Floodplain D.Headwaters What is one way to brainstorm compare-and-contrast topic ideas?A.outliningB.revisingC.listingD.drafting In 1939, why did Great Britain remove their support of an Israeli homeland in Palestine?a.they wanted to increase Jewish immigration to Palestineb.they wanted nothing to do with Palestine once the war endedc.they wanted to keep a positive relationship with Jewish immigrantsd.they wanted to protect their political and economic interests what makes a successful roller coaster Is the sentence simple or compound? Mother and Father spoke to the people at the party, but Eve and Maggie sat quietly and drew pictures. A. simple B. compound How did some Americans justify the Spanish American war? Dakota had a kite with 25 6/12 string.The kite got stuck in a tree.she lost 4 3/12 feet of string trying to free it.how much string does Dakota still have? Which actions does a good writer take?The writer submits the paper a day or two after the deadline.The writer accepts and implements constructive feedback about the paper.The writer starts the research a day before the paper is due.The writer practices writing several drafts of the paper.The writer leaves revising the paper to the teacher or a peer.The writer makes sure there are no grammatical errors in the paper. Grandpa's age is 6 yrs less than 6 times junior's age. The sum of their age is 78. find each of their ages? Which of the following is not a property of cells: ability to reproduce using energy for growth all cells are the same adapting to their environmentits timed The key to using fall protection equipment is choosing the_______ equipment for the job and using it properly Coughing forces the trachea to contract, which affects the velocity v of the air passing through the trachea. Suppose the velocity of the air during coughing is v = k(R-r)r2 where k and R are constants, R is the normal radius of the trachea, and r is the radius during coughing. What radius will produce the maximum air velocity? If x0, determine the sign of the real number x-y/xy ...? Add commas if needed. We bought juicy ripe apples for our fall festival. According to maslow, which is the ultimate goal of self development? a.self-actualization b.love c.respect d.esteem