3 questions in 1
1. The set of data below represents test scores for 20 students on a final exam.
What are the outliers in the data set?
[Hint: Lower Limit = Q 1 – 1.5(IQR) ; Upper Limit = Q 3 + 1.5(IQR)]

2. The set of data below represents test scores for 20 students on a final exam. What is the value of Q 1?

3. The set of data below represents test scores for 20 students on a final exam. What is the value of Q 3?

3 Questions In 11. The Set Of Data Below Represents Test Scores For 20 Students On A Final Exam.What

Answers

Answer 1

Answer:

1. D. 20, 30, and 50

2. A. 86

3. B. 94

Step-by-step explanation:

1. To find the outliers of the data set, we need to determine the Q1, Q3, and IQR.

The Q1 is the middle data in the lower part (first 10 data values) of the data set (while the Q3 is the middle data of the upper part (the last 10 data values) the data set.

Since it is an even data set, therefore, we would look for the average of the 2 middle values in each half of the data set.

Thus:

Q1 = (85 + 87)/2 = 86

Q3 = (93 + 95)/2 = 94

IQR = Q3 - Q1 = 94 - 86

IQR = 8

Outliers in the data set are data values below the lower limit or above the upper limit.

Let's find the lower and upper limit.

Lower limit = Q1 - 1.5(IQR) = 86 - 1.5(8) = 74

The data values below the lower limit (74) are 20, 30, and 50

Let's see if we have any data value above the upper limit.

Upper limit = Q3 + 1.5(IQR) = 94 + 1.5(8) = 106

No data value is above 106.

Therefore, the only outliers of the data set are:

D. 20, 30, and 50

2. See explanation on how to we found the Q1 of the given data set as explained earlier in question 1 above.

Thus:

Q1 = (85 + 87)/2 = 86

3. Q3 = (93 + 95)/2 = 94


Related Questions

A triangle has angles that measure 55°, 53°, and 72°. What kind of triangle is it?

Answers

Answer: an acute triangle

Step-by-step explanation:

All of the angles are less than 90 degrees.

Ariana Grande put her 7 rings in a rectangular plate that had an area of 54 square inches. If the length of the is 12 inches, what is the width?

Answers

Answer:

4 1/2 inches

Step-by-step explanation:

if you have an area of 54 square inches. Then you divide 54 by 12 and get 4 and 1/2 square inches

Answer:

4.5

Step-by-step explanation:

12x=54 x=4.5

4.5×12=54

write an expression that is equivalent to: 1/3 ÷ 5/6

Answers

Answer: 0.4 or 4 i think

I need answers now please!

Answers

Answer:

option C

Step-by-step explanation:

During the basketball season, Jason scored 43 points. He scored 5 fewer points than three times the number Kevin did. How many points did Kevin score? Write an equation and solve.

Answers

Let’s say K equals the amount of points Kevin scores
K=(43+5)/3
K=(48)/3
K= 16

please please help me i’m failing math!!!

Answers

Answer:

go to school, do your work, you are only cheating yourself, not the school, or end up homeless

Step-by-step explanation:

Explanation: circumference = 2π•r
(two times pi times your radius)
Your midpoint is at (5,0) and seeing as it crosses straight through the middle, your radius is 5 units. Input it into the formula and you’ll get your answer.
2π • 5
Answer: C ≈ 31.42 units

if each box represents 1 miles, what is the shortest distance from the school to the skate park.

Answers

The shortest distance between two points is a straight line.

Use the distance formula for points.

In the diagram, we are given two points:

(4,2) and (-3,0).

Let d = distance between the two points.

d = sqrt{(-3 -4)^2 + (0-2)^2}

d = sqrt{(-7)^2 + (-2)^2}

d = sqrt{49 + 4}

d = sqrt{53}

d = 2.2360679775

d = 2.2 miles

Out of 80 workers surveyed at a company, 11 walk to work A. What is the experimental probability that a randomly selected worker at that company walks to work B. Predict about how many of the 3,700 workers at the company walk to work

Answers

Answer:

Below.

Step-by-step explanation:

A. Required probability = 11/80.

B. 3700 * 11/80 = 508.75 so the predicted number would be 509.

I need help please !!!!!!

Answers

The answer is isosceles.

Explanation:
Isosceles triangle is where two side lengths are equal.
Equilateral triangle is where all side lengths are equal.
Scalene Triangle is where all side lengths have different measures.

Since this triangle has two side lengths with the same measure it is an isosceles triangle.

Calculate the surface area of an open cylinder measuring 35cm in diameter and 60cm high.

Answers

Answer:

6598.2 in^2

Step-by-step explanation:

Given data

Diameter= 35in

Radius= d/2= 35/2= 17.5in

Height = 60cm

The expression for the curve surface area of a cylinder is

CSA=2πrh

substitute

CSA= 2*3.142*17.5*60

CSA= 6598.2 in^2

Hence the CSA is 6598.2 in^2

Plzzz help me plzzzzz math helppppp

No links or imma report u 20 points plzzzzz

Answers

Answer:

wheres the question? it just says what you said-

Answer:

Picture please

Step-by-step explanation:

I'll help you with math, is it 6th grade math?

if 4x=3y, which shows the ratio of x to y in simplest form?

Answers

Answer:

B

Step-by-step explanation:

4x=3y

x/y=3/4

Just like the photo I attached

If 4x=3y, then 3/4 is the ratio of x to y in the simplest form. Option B is correct.

The ratio of x to y can be determined by dividing both sides of the equation 4x = 3y by y:

4x/y = 3y/y

4x/y = 3

To express the ratio of x to y in simplest form, we divide both sides of the equation by 4:

x/y = 3 / 4

Therefore, the ratio of x to y in simplest form is 3/4. option B is correct.

To learn more on Ratios click:

https://brainly.com/question/1504221

#SPJ4

Can someone help with these two questions thank you!

Answers

Answer:

10^-5= 1/10^5

so option c is correct

A ball is thrown into the air with an upward velocity of 40 ft/s. Its height h in feet after t seconds is given by the function \large h=-16t^2+40t. What is the ball's maximum height?

Answers

Answer:

[tex]h=25[/tex]

Step-by-step explanation:

From the question we are told that:

Velocity [tex]v=40fts[/tex]

The height h function

 [tex]\large h=-16t^2+40t[/tex]

Generally time t is mathematically given by

 [tex]h'=-32t+40[/tex]

 [tex]-32t+40=0[/tex]

 [tex]t=\frac{40}{32}[/tex]

 [tex]t=1.25[/tex]

Therefore  the ball's maximum height is given as

  [tex]\large h=-16(1.25)^2+40(1.25)[/tex]

 [tex]\large h=-16(1.25)^2+40(1.25)[/tex]

 [tex]h=25[/tex]

Can anyone help?????

Answers

An isosceles triangle has two equal long and opposite sides and one short base.
The long sides are 5 more than the short base (4x-2) hence each long side is (4x-2)+5 which is simplified to 4x+3.
Keep the perimeter as a hint because it is the total of all the sides, this gives x.
Make the equation
4x+3+4x+3+4x-2 = 64
Simplify
12x+4=64
x=60/12
x=5
The length of one long side is (4*5+4)=24
I hope it’s correct because I’m not sure if they saying that both the sides are 5 inches longer or each of the longer sides are 5 inches longer. It would make a difference.
Hopefully this helped

Can someone help me???

Answers

Answer:

p to the power of 12

Step-by-step explanation:

hope this helps!

The answer is

(p3)4=p?

p3×4=p12

102×98
Search using factors.​

Answers

Answer:

9996

Step-by-step explanation:

solve: 3x^2+16x+5=0
I did it but apparently its wrong so, please help it would literally probably help me finish high school.

Answers

Answer:

(3x+1)(x+5)

Step-by-step explanation:

Sorry for my handwriting lol hope this makes sense

Solve the equation 3 (x+ 4.5) = 36 one step at a time. Use the diagram to help you


(EXPLAIN. step BY step)

Answers

3(x+4.5)=36 Divide both sides of the equation by.
Then you get x+4.5=12

Move the constant to the right-hand side and change its sign x=12-4.5

Then you want to subtract the numbers Subtract the numbers

Then your answer is X=7.5 have a great day

In a group of 32 pupils, 3 play the flute only. 13 play the piano only. 10 play neither instrument. A student is selected at random. What is the probability the student plays both instruments?

Answers

Answer:

18.75%

Step-by-step explanation:

Given that

There is a group of 32 pupils

3 play the flute only

13 play the piano only

And, 10 play neither instrument

We need to find out the probability the student plays both instruments

So

= (32 - 13 - 10 - 3) ÷ 32

= 6 ÷ 32

= 0.1875

= 18.75%

Answer:

6/32 or 3/16

Step-by-step explanation:

13 add 10 add 3 = 26

32-26=6

the total amount of children is 32 so the number is 6/32

you can then simplify it to 3/16

hope this helps :)

Find the radius of a circle whose area is 576π m²

Answers

Answer:

r = 24 m

Step-by-step explanation:

The area (A) of a circle is calculated as

A = πr² ( r is the radius )

Here A = 576π , then

πr² = 576π ( divide both sides by π )

r² = 576 ( take the square root of both sides )

r = [tex]\sqrt{576}[/tex] = 24

Answer:

I took the test, hope this helps

Step-by-step explanation:

someone please explain this

Answers

Answer:

Step-by-step explanation:

110=4t+90(being vertically opposite angles)

110-90=4t

20/4=t

5=t

Answer:

Hello! answer: t = 5 degrees

Step-by-step explanation:

these are vertical angles meaning they will have the same measure! 4 × 5 = 20 and 20 + 90 = 110 therefore t = 5 HOPE THAT HELPS!

For the equations given below, which statement is true? A. The equations do not have the same solution because the second equation can never be obtained when multiplying the first equation by any value. B. The equations have the same solution because the second equation can be obtained by multiplying both sides of the first equation by −3. C. The equations have the same solution because the second equation can be obtained by multiplying both sides of the first equation by 3. D. The equations have the same solution because the second equation can be obtained by multiplying both sides of the first equation by −4.

Answers

3476378 because that’s the answer

The sum of three numbers is 84, the second number is 2 times the 3rd , the first number is 8 more than the 3rd. What are the numbers

Answers

Answer:

a = 27

b = 38

c = 19

Step-by-step explanation:

a + b + c = 84

b = 2c

a = 8+c

8+c +2c+c = 84

4c + 8 = 84

4c = 76

c = 19

b = 2(19) = 38

a = 8 + 19  = 27

can someonee help me please

Answers

Answer:4

Step-by-step explanation:

x+8=2x-1

so x-9=0

and x=9

so x+6=9+6=15

and x+8=9+8=17

You can do Pythagoras' theorem:

17^2-15^2=64

so [tex]\sqrt{64}[/tex]=4

Look at the person above me. There you will find your answer

List the first 5 multiples of 4. * Your answer​

Answers

Answer:

4,8,12,16,20

Step-by-step explanation:

The first 5 are

4,8,12,16,20

Find the area of this triangle.
Round to the nearest tenth.
57°
11 in
6 in
[?] in2
Enter

Answers

Answer:

27.6 is the area

Step-by-step explanation:

Area of the given triangle is equals to [tex]27.6 in^{2}[/tex](round to nearest tenth).

What is triangle?

" Triangle is defined as two dimensional geometrical shape with three vertices, three sides and three angles enclosed in it."  

Formula used

Pythagoras theorem

(Hypotenuse)² = (Base)² + (Height)²

Area of a right triangle = [tex]\frac{1}{2} \times b\times h[/tex]

[tex]b[/tex] represents the base of the triangle

[tex]h[/tex] represents the height of the triangle

According to the question,

In a given triangle,

Hypotenuse [tex]= 11in[/tex]

Height [tex]= 6in[/tex]

Substitute the value in Pythagoras theorem to get the measure of base,

[tex](11)^{2} = b^{2} + 6^{2}\\\\\implies b^{2}= 121 -36\\\\\implies b =\sqrt{85}[/tex]

Substitute the value in the formula to find area of a triangle,

Area of a triangle [tex]= \frac{1}{2}\times \sqrt{85} \times 6[/tex]

                              [tex]= \frac{1}{2} \times 9.22 \times 6\\\\= 9.22 \times 3\\\\= 27.66[/tex]

                              ≈ [tex]27.6in^{2}[/tex] ( round to nearest tenth)

Hence,  area of the given triangle is equals to [tex]27.6 in^{2}[/tex](round to nearest tenth).

Learn more about triangles here

https://brainly.com/question/12538366

#SPJ2

Claire can make an origami swan in 2 1/2 minutes what fraction shows the number of swans she can make per minute

Answers

Answer:

2/5

Step-by-step explanation:

Number of swans Claire can make in one minute = 1 ÷  21/2

convert 2 1/2 to an improper fraction

to convert to improper fraction, take the following steps :  

1. Multiply the whole number  by the denominator

2. Add the numerator to the answer gotten in the previous step

3. divide the number gotten in the previous step by the denominator

2 1/2 = 5/2

1 ÷ 5/2

1 x 2/5 = 2/5

¿Cuál propiedad de los números complejos se muestra a continuación?
continuación?
(2 + 3i )+(5 - 4i) = (5 - 4i)+(2 + 3i). A) asociativa. B) distributiva. C) inverso aditivo. D) conmutativa. Cual es la respuesta correcta ? please help me quickly

Answers

Answer:

D) Comutativa

Step-by-step explanation:

a+b=b+a (álgebra)

espero que te sirva mi ayuda

Can pls someone help me plsss I need help :(

Answers

Answer: [tex]7,5.66,39^{\circ}[/tex]

Step-by-step explanation:

Given

[tex]IJ=9\\\angle I=51^{\circ}[/tex]

from figure, we can write

[tex]\Rightarrow \sin 51^{\circ}=\dfrac{HJ}{9}\\\\\Rightarrow HJ=9\sin 51^{\circ}=6.99\approx 7[/tex]

[tex]\Rightarrow \cos 51^{\circ}=\dfrac{HI}{9}\\\Rightarrow HI=9\cos 51^{\circ}\\\Rightarrow HI=5.66[/tex]

In right angle trianle, the sum of the remaining two angles is [tex]90^{\circ}[/tex]

[tex]\therefore 51^{\circ}+\angle J=90^{\circ}\\\Rightarrow \angle J=90^{\circ}-51^{\circ}\\\Rightarrow \angle J=39^{\circ}[/tex]

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