fine the lower and upper quartiles and interquetile range.
5, 12, 17, 23, 28, 31, 37, 41, 42, 49, 54, 58, 65, 68, 73, 71.​

Answers

Answer 1

Answer:

Lower Quartile = 25.5

Upper Quartile = 61.5

IQR = 36

Step-by-step explanation:

Given data is:

5, 12, 17, 23, 28, 31, 37, 41, 42, 49, 54, 58, 65, 68, 73, 71

The lower quartile is the first quartile and upper quartile is the third quartile.

A median divides the data set in two equal halves.

Lower quartile also known as first quartile is the middle value in the first half.

The first half is:

5, 12, 17, 23, 28, 31, 37, 41

As the number of values is even, the quartile will be the average of two middle values

[tex]Q_1 = \frac{23+28}{2} =\frac{51}{2}= 25.5[/tex]

Upper quartile is the average of middle two values in the second half when the number of values is even.

42, 49, 54, 58, 65, 68, 73, 71

[tex]Q_3 = \frac{58+65}{2} = \frac{123}{2} = 61.5[/tex]

Interquartile range is the difference of third quartile and first quartile

[tex]IQR = Q_3 - Q_1 = 61.5-25.5=36[/tex]

Hence,

Lower Quartile = 25.5

Upper Quartile = 61.5

IQR = 36


Related Questions

In what proportion should water and milk be mixed to reduce the price of milk from Rs 5 per liter to Rs 4 per liter?​

Answers

Answer:

4:1

Step-by-step explanation:

Let us assume that the cost of water is free, that is Rs.0.

Let x represent the number of liters of milk, y represent the number of liters of water and z represent the volume of the mixture in liters, hence:

z = x + y            (1)

Milk cost Rs.5 per liter, water cost Rs.0 per liter and the mixture cost Rs.4 per liter. Therefore:

5x + 0(y) = 4z    (2)

Substituting z = x + y in equation 2 gives:

5x + 0(y) = 4(x + y)

5x = 4x + 4y

5x - 4x = 4y

x = 4y

x / y = 4 / 1

x : y = 4 : 1

The proportion in which the milk is to be mixed with water is 4 : 1, that is 4 liters of milk per 1 liter of water

Evaluate function expressions 4 x f(6) - 6 x g(5) =

Answers

9514 1404 393

Answer:

  24

Step-by-step explanation:

Find the parts of the expression from the graph, and evaluate the expression.

  f(6) = -6

  g(5) = -5

Then we have ...

  f(6) -6·g(5) = (-6) -6(-5) = -6 +30 = 24

HELPP ASAP!!!!
A. 2.5
B. 3.0
C. 4.5
D. 5.0

Answers

Answer:

C.    4.5

Step-by-step explanation

the sqr rt

C. 4.5 .....................

PLEASE ANSWER ASAP!!!!!!!!!!!!!!!!!!!!!
Yesterday, I put 10 gallons of gas in my car and I paid $30. A couple hours after, I went back to the gas station with my dad’s car and I put 6 gallons and I paid $18.
is this proportional or not?

Answers

Yes because it illustrates clear example of proportional relationships where the quantities of the first fill up are proportional to the ones of the second fill up.

Find the value of x help please.

Answers

Answer:

x= 6

Step-by-step explanation:

since the triangle is isosceles we know that opposite sides are equal

[tex]5x+5=35\\\\5x=35-5\\\\5x=30\\\\x=\frac{30}{5}\\\\x=6[/tex]

Answer:

[tex]\boxed {\boxed {\sf x=6}}[/tex]

Step-by-step explanation:

An isosceles triangle has 2 equal base angles and 2 equal legs.

In this triangle, 16 must be the base, because the base angles are adjacent. Therefore, the legs are 35 and 5x+5. They must be equal to each other.

[tex]35=5x+5[/tex]

Solve for the value of x by isolating the variable on one side of the equation.

5 is being added to 5x. The inverse of addition is subtraction. Subtract 5 from both sides of the equation.

[tex]35-5=5x+5-5 \\ 35-5=5x\\30=5x[/tex]

x is being multiplied by 5. The inverse of multiplication is division. Divide both sides by 5.

[tex]\frac{30}{5} =\frac{5x}{5} \\\frac{30}{5}=x\\6=x[/tex]

The value of x is 6.

What is the difference between 3 more than 1/3 and 3

Answers

Answer:

Step-by-step explanation:

3 more than 1/3 represents 3 + 1/3 Which would equal 3 and 1/3 or 10/3. This is different than 3 since it equals 9/3. They don’t equal each other due to it being 3 added to 1/3

The sum of two numbers is 136 one number is 51 what is the other number? What are the common factors of these two numbers?

Answers

The sum of two numbers is 136 (sum is what you get when you add two numbers together). If one of the two numbers is 51, and the other number is X, then:

X + 51 = 136

To solve for x we subtract both sides by 51.

X + 51 -51 = 136 - 51
X = 85

The other number is 85.

What are the common factors of these two numbers?
Factors are the numbers that multiply to make the product.

Factors of 51: 1, 51, 3, 17
Factors of 85: 1, 85, 5, 17

HURRY PLEASE The top and bottom of a right rectangular prism are 4 inches long and 4 inches wide. What is true about the other faces
(front, back, left, and right)?
All four of the remaining faces will have a helght of 4 inches.
There is not enough information to tell what the other faces will look like.
Two of the remaining faces will be 4 inches wide.
All four of the remaining faces will be 4 inches wide.

Answers

Answer:

All four of the remaining faces will be 4 inches wide.

Step-by-step explanation:

A right rectangular prism with square base and top with sides of 4 in.

It has four sides of 4 in wide each and of equal height of unknown measure.

Options:

All four of the remaining faces will have a height of 4 inches.

Incorrect, the height is unknown.

There is not enough information to tell what the other faces will look like.

Incorrect, all the other faces are rectangular.

Two of the remaining faces will be 4 inches wide.

Incorrect, all the faces are 4 in wide.

All four of the remaining faces will be 4 inches wide.

Correct.

A bag of M&Ms had 4 red, 5 orange, 3 yellow, 2 green, 7 blue, and 3 brown candies.

What is the probability of drawing and eating red candy and then drawing and eating an orange candy?​

Answers

Answer:

4/20 red 5/20 orange

Step-by-step explanation:

see how many their are then add up all the candies then boom theres your answer

There are 24 seats in each row of the middle school auditorium.
The table shows the number of students from each grade who
attended a concert. If the students fill each row in the auditorium,
how many rows would be needed for all of the students?
Grade
Number of Students
Sixth
310
Seventh
256
Eighth
262

Answers

Answer:

34.5

Step-by-step explanation:

310 +256 +262= 810

810÷24=34.5

PLEASE HELP


Juan has $67 in $5 and $1 bills. If has 19 bills in all, how many $1 bills does he have?

Answers

I think he has 7 one dollars

Juan have 7 bill for $1 bills.

What is an expression?

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

Juan has $67 in $5 and $1 bills.

And, He has 19 bills in all.

Now, Let number of $1 bills = x

And, Number of $5 bills = y

Here, Juan has $67 in $5 and $1 bills.

So, We get;

⇒ x + 5y = 67  .. (i)

And, He has 19 bills in all.

So, We get;

⇒ x + y = 19  

⇒ x = 19 - y .. (ii)

Substitute the value of x from (ii) in (i), we get;

⇒ x + 5y = 67

⇒ 19 - y + 5y = 67

⇒ 19 + 4y = 67

⇒ 4y = 67 - 19

⇒ 4y = 48

⇒ y = 12

And, from (ii),

⇒ x = 19 - y

⇒ x = 19 - 12

⇒ x = 7

Learn more about the mathematical expression visit:

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A circle has a diameter of 10 cm. What is the circumference, and what is the area

Answers

Answer:

area=78.54cm squared

circumference =31.42cm

Select the correct answer. Which graph represents this inequality? 3x+y<1​

Answers

Ummm I need this one tooooo

Answer:

the answer is c the one above d

Step-by-step explanation:

is this linear or non linear y=-7x+8?

Answers

Linear it’s pretty simple

Find the value for the side marked below.

Answers

Answer:

10x25=250250÷2=125125 round to the nearest tenth is 130 answer: 130 that how I learn it qwq

Help me out from a through c (geometry/angle bisectors)

Answers

Answer:

A) supplementary

B) 148°

C) 50°

Step-by-step explanation:

A) supplementary

B) 180-32=148

C) 90-40=50

Solve by linear elimination. 3x+y=-17. 5x-2y=13

Answers

Answer:

[tex]3x + y = - 17 - - - eqn(i) \\ 5x - 2y = 13 - - - eqn(ii) \\ by \: elimination \\ (2 \times eqn(i)) + eqn(ii) \\ (6 + 5)x + (2 - 2)y = ( - 34+ 13) \\ 11x = - 21\\ x = - \frac{21}{11} \\ substitute \: for \: x \: in \: eqn(i) \\ - \frac{ 63}{11} + y = - 7 \\ y = - 7 + \frac{63}{11} \\ y = - \frac{ 14}{11} [/tex]

Explain how you can use multiplication to solve a division problem.​

Answers

Answer:Inverse operation

Step-by-step explanation: an example is 5 x 5. That equals 25 so take 5 and divide that by 5. Inverse operation is important.  

Can somebody help me on this problem please I will give you brainliest:)

Answers

That’s confusing do you know the formula your supposed to use?

Which equation has no solution?
A. 3x−9=5−3x
B. 3−3x=11+3x
C. −3x+7=7−3x
D. 3x+8=−2+3x

Answers

Answer:

C.

Step-by-step explanation:

C does not have a solution.

Enter the number 86.3865 rounded to the nearest hundredth (two decimal places)

Answers

Answer:

86.39

Step-by-step explanation:

Answer:

Your answer would be: 86.39

Step-by-step explanation:

PLEASE ANSWER ASAP!!!!!!!!!!!!!!
The equation m = 32 g represents the average number of miles, m, that a car can go on g gallons of gas. What is the constant of proportionality and what does it represent in this situation?

Answers

Answer:

32

Step-by-step explanation:

32 is the constant of proportionality. Its represents thr average number of miles per gallon.

THE ANSWER IS 32 because i did the work on paper

The prime factorizations of 54 and 72 are shown below. Prime factorization of 54: 2, 3, 3, 3 Prime factorization of 72: 2, 2, 2, 3, 3 Using the prime factorizations, what is the greatest common factor of 54 and 72
1.2'3
2. 2' 3'3
3.2'2' 3'3
4.2'2'2'3'3'3​

Answers

Step-by-step explanation:

54 = 2 * 3³

72 = 2³ * 3²

To find the GCF of 54 and 72,

we find the highest common powers of their prime factors.

Highest common power for 2: 2

Highest common power for 3: 3²

Hence GCF of 54 and 72 = 2 * 3².

The answer is Option 2.

Answer:

b/2'3'3

Step-by-step explanation:

Which expression is equivalent to x+0.2x?

1.2x

0.2x2

0.2x

1.02x

Answers

Answer:

1.02x

Step-by-step explanation:

Which expression is equivalent to x+0.2x?

1.2x

0.2x2

0.2x

1.02x

the answer is

1x+0.2x = 1.02x

the sum of 9 and the product of a number and -7 is -19

Answers

Answer:

9+x*-7=-19

9-7x=-19

-7x=-19-9

-7x=-28

x=-28/-7

x=4

The number 4 is the required expression.

What is PEMDAS?

The abbreviation PEMDAS is used to indicate the sequence of steps to be taken when resolving expressions with multiple operations. P is for "parentheses," E is for "exponents," M is for "multiplication," D is for division, A is for addition, and S is for subtraction.

Let x be the required number.

And the given expression is the sum of 9 and the product of a number and -7 is -19

That means ,

9 + x × -7 = -19

Using PEMDAS,

9 - 7x = -19

-7x = -19 -9

-7x = -28

x = 4

Therefore, the required number is 4.

To learn more about the PEMDAS;

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Probability Questions Help is needed plzzzzzzzzzz

Answers

Answer: 0.0049 hope this is right

If (a+b)= -5 and ab= -150 , find a-b

Answers

Answer:

(a-b) = -25

Step-by-step explanation:

(a+b) = -5

a*b=-150

So one of the letters have to be negative as you can only get a negative product from a positive and negative

There is probably a better way to do this, but I just plug in numbers that I think will work

So, (a*b) = -150, (-15*10) = -150

Okay that works so lets try the other one

(-15+10) = -5

This also works, so lets do the third one

(-15-10) = -25

20/12, 35/21 do the ratios form a propprtion

Answers

Because they both have a ratio of 5:3 or 5/3

simplify the xepression 10(x + 2)

Answers

Answer: 10x + 20

Step-by-step explanation:

10 (x + 2)

Distribute

10x + 20

Answer:

10x + 20

Step-by-step explanation:

10(x + 2)

distribute

10 * x + 10 * 2

10x + 10 * 2

10x + 20

Is it
A.
B.
C.
D.
I really need help .

Answers

I think the answer you’re looking for is
B. 9
-I hope this helps!
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