Some data sets include values so high or so low that they seem to stand apart from the rest of the data. These data are called outliers. Outliers may represent data collection errors, data entry errors, or simply valid but unusual data values. It is important to identify outliers in the data set and examine the outliers carefully to determine if they are in error. One way to detect outliers is to use a box-and-whisker plot. Data values that fall beyond the limits

Lower limit: Q1 − 1.5 ✕ (IQR)
Upper limit: Q3 + 1.5 ✕ (IQR)

where IQR is the interquartile range, are suspected outliers. In the computer software package Minitab, values beyond these limits are plotted with asterisks (*). Students from a statistics class were asked to record their heights in inches. The heights (as recorded) were as follows:

65 72 68 64 60 55 73 71 52 63 61 74
69 67 74 50 4 75 67 62 66 80 64 65

Required:
Make a box-and-whisker plot of the data.

Answers

Answer 1

Answer:

Kindly check attached picture

Step-by-step explanation:

Given the data:

65 72 68 64 60 55 73 71 52 63 61 74

69 67 74 50 4 75 67 62 66 80 64 65

The box and whisker plot generated from the data above can be found in the picture below : The asterisked point on the plot is the value of the Outlier.

Using calculator :

Q1 = 61.25 Q2 = 65.5 ; Q3 = 71.75

IQR = Q3 - Q1 = 71.75 - 61.25 = 10.5

Lower limit: Q1 − 1.5 * (IQR)

61.25 - 1.5(10.5)

61.25 - 15.75 = 45.5 (all values below 45.5)

Upper limit: Q3 + 1.5 * (IQR)

71.75 + 1.5(10.5)

71.75 + 15.75 = 87.5 (all values above 87.5)

Hence, the box and whisker plot summary :

Sample size: 24

Median: 65.5

Minimum: 4

Maximum: 80

First quartile: 61.25

Third quartile: 71.75

Interquartile Range: 10.5

Outlier: 4

Some Data Sets Include Values So High Or So Low That They Seem To Stand Apart From The Rest Of The Data.

Related Questions

Help plz:)))I’ll mark u Brainliest

Answers

Step-by-step explanation:

The angle where the shadow ends is

[tex] \tan(x) = \frac{48}{60} \\ x = 38.66[/tex]

The distance from the tree to the angle of end shadow equal (60-20)=40ft

So the tall of tree is

[tex] \tan(38.66) = \frac{x}{40} \\ x = 40 \times \tan(38.66) \\ x = 32ft[/tex]

What is the distance between 120 and -130 on a number line?

Answers

Answer:

250

Step-by-step explanation:

120 is 120 spaces from zero

-130 is 130 spaces from zero

130+120=250

250 spaces from each other

Answer:

250

Step-by-step explanation:

You can think of this in different ways. Here are two ways.

1) The distance between any two points on the number line is the absolute value of the difference of the coordinates. Since you will take the absolute value of the difference, it makes no different in which order you do the subtraction.

For points on the number line with coordinates a and b,

distance = |a - b| = |b - a|

Here the coordinates are -130 and 120.

distance = |-130 - 120| = |-250| = 250

distance = |120 - (-130)| = |120 + 130| = |250| = 250

As you can see, the distance comes out the same no matter the order of the subtraction.

distance = 250

2) Just think of what the problem means and do a little calculation.

120 is a positive number, so it is located 120 units to the right of zero.

-130 is a negative number, so it is located 130 units to the left of zero.

To find the distance between the two numbers, think of starting at -130. You need to go 130 units right to reach zero. Then from zero you need to move another 120 units right to reach 120. The total distance is 130 + 120 which equals 250.

distance = 250

How do I Estimate how many cups of Fruit Trail Mix the recipe can make

Please help I don’t understand

Answers

you can add the amount of ingredients all together so basically 4/8 + 3/8 + 8/8 + 2/8 which will get you 2 and 1/8 cups of fruit trail mix. hopefully that helps!

HELP PLEASE! giving brainliest What would be the slope of a line parallel to the line below

Answers

The third one
-3\2 I think
The answer would be 2/3.

-1/4(d+1)<2

HELP ME PLEASE

Answers

Answer: u suck at math just dont do it duh

Step-by-step explanation: its five

Can someone please help me understand this and the answer​

Answers

Answer:

x ≤ 2

Step-by-step explanation:

can someone help me with a two step equation that is x=3 please its for a math project

Answers

Answer:

Equation: 4x+15=3(x+6)

Step-by-step explanation:

Answer:

4x + 3 = 1(x + 12)

Step-by-step explanation:

Can u explain more?

cuál es el número entero de 2° bajo Cero​

Answers

Answer:

 -2 °C.

Step-by-step explanation:

Usa el signo + para representar temperaturas arriba de cero y el signo – para representar temperaturas bajo cero.

The cost (C) for P pounds of apples can be represented by the equation c=4p. Graph the proportional relationship between the number of pounds of apples and the total cost.

HELP ASAP PLEASE

Answers

Hi how was you day hope it was good mine was good bye

Triston is playing basketball, and has 13 ounces of water in his water bottle. At half-time, he drinks ⅔ of his water. Later, he pours 3 ounces of water on his head to cool down. How much water does Triston have left in his bottle after the game?

Answers

Answer:

he has 5 ounces left in his bottle

Determine m ASAP please help!!

Answers

Answer:

m=52

Step-by-step explanation:

ABC and FBE are congruent and we know that ABC is 52

90-38=52

so FBE is also 52

Hope this helps ^-^

You enter an elevator and go down 7 floors you exit on the 10th floor. Write an equation you can use to find the floor where you entered the elevator

Answers

7+10=x or 17 is the answer
here’s mine! 0= where you started

(0 - 7) - 3

Find the value of x.
30°
15x
A. 4
B. 10
C. 12
D. 2

Answers

Answer:

10 is the answer

Step-by-step explanation:

can u pls help me i am really stuck this is a geo problem pls get to me as soon as possible thanks.
Question: find the value of x.

Answers

Answer:

Please refer to the attachment

What do you get when you distribute the -4 to the (11 - 2x)

Answers

-2 because you have to reduce

Substitute w = 1 and w = 3 to determine if the two expressions are equivalent.

Answers

Answer:

mineeeeeeeeeeee

Step-by-step explanation:

reduce a)95/75 b) 250/750 to its simplest form

Answers

Answer:

a) 19/15 b) 1/3

Step-by-step explanation:

in both the question I reduced the numbers with 5

HELPP I WILL GIVE BRAINLEIST!! PLSSSSS PLSSSSSSS

Answers

Answer:

x = 3  &&  y = - 1

Step-by-step explanation:

Just solving the two equations

the first equation

y = 4/3 x +3

y  - 4/3 x = 3  ..............................................(1)

the second equation

y = -2/3x -3

y + 2/3 x = -3  ..............................................(2)

by substracting 2 from 1

-4/3x - 2/3x = -6

divide by -1

4/3x +2/3x = 6

6/3x = 6

2x = 6

x= 3

then subsititute by value x in any of given eqautions  

What is the measure of angle A?

Answers

Answer:

64 degrees

Step-by-step explanation:

A triangles angles always add up to 180. So add 58 + 58 to get 116. Now subtract 180 - 116 to find the measure of angle A. You get 64.

Hope it helps!

Step-by-step explanation:

58 +58 = 116

180-116 = 64

So angle 4 = 64

factorise completely 4ab+6ac-6bd-9cd​

Answers

Answer:

(2b+3c) × (2a-3d)

Step-by-step explanation:

plz mark as brainliest

The factors of 4ab+6ac-6bd-9cd are (2a-3d) and (2b+3c).

What are factors?

Factors are those numbers or expressions which when together be multiplied results the same numbers whose factors they are. It can be found for equations and expressions as well. It includes those number which divides the given number to get another factor value.

How to find factors?

We have been given expression 4ab+6ac-6bd-9cd and we have to find the factors of the expression.

Factorization can be done as under:

Expression=4ab+6ac-6bd-9cd

=2a(2b+3c)-3d(2b+3c)

[we have to take common expression from two terms like we did above]

=(2a-3d)(2b+3c)

Hence the factors of expression 4ab+6ac-6bd-9cd are (2a-3d) and (2b+3c).

Learn more about factorization at https://brainly.com/question/25829061

#SPJ2

Please help me one more time

Answers

Answer: 24

Yes (x-2) is a factor. There is a remainder.

Step-by-step explanation:

2³-8•2²+14•2-4

8-8•4+14•2-4

0•4+14•2-4

0+14•2-4

14•2-4

28-4

24

Hope this helps if so plz mark me brainly

find the area of a rectangular carpet the measures 3 1/3 feet by 3 feet

Answers

Answer:

area = 4

Step-by-step explanation:

area = length × width

length= 3 1/3 =3/3 = 1 and width= 3

area = 1 × 3

= 4

The volume Vof a cylindrical can is represented by the formula V=πr2h, where h is the height and r is the radius. A cylindrical can has a volume of 1014π cubic centimeters and a height of 6 centimeters. What is the radius of the can?

Answers

Answer:

Step-by-step explanation:

V = πr²h

1014π = πr²·6

r² = 1014/6 = 169

r = 13 cm

What is the equation for the volume of a Cylinder? And a can of baked beans is 11cm by 3.5cm, a can of soda pop is 13cm by 4cm. What is the difference between the volume of the baked beans and the volume of the soda pop? Please explain using math vocabulary, and how you solved this problem.

Answers

Answer:

volume = (Pi)(r^2)(height)

57.5 cm^3 difference in volume

Step-by-step explanation:

Assuming that the 3.5 cm and the 4 cm are diameters of the cans:

The radius of the baked beans can is one-half of the diameter and that would be 1.75 cm.

The radius of the soda can is one-half of the diameter and that would be 2 cm.

The formula for the volume of a cylinder is Pi times the radius squared times the height.   (Pi)(r^2)(height)

Baked beans volume equals (3.14)(1.75^2)(11) = (3.14)(3.06)(11) = 105.78 cm^3

Soda can volume equals (3.14)(2^2)(13) = (3.14)(4)(13) = 163.28 cm^3

The soda can has more volume so:

163.28 cm^3 minus 105.78 cm^3 equals 57.5 cm^3 difference in volume.

Can you help me here pls thx very much What is 52% of 25

Answers

Answer:

13

Step-by-step explanation:

52% of 25 is 13. Write 52% as 52/100
Since, finding the fraction of a number is same as multiplying the fraction with the number, we have 52/100 of 25 = 52/100 x 25 so the answer is 13. Now if you’re using a calculator just do 52/100x25 which would give you 13 just using a different and faster way.

What is the difference between the leg and hypotenuse of a right triangle?

Answers

Answer:

The Hypotenuse is always the greater number in length and a way you can where it is, that in your right tringle you have your Base and side. and there always a square between them, so the square will be pointing at the Hypotenuse. and the Right triangle its a triangle but one side is straight

Step-by-step explanation:

Sorry i did my best explanation

If 3x = 6, then x = 2.
a. Addition b. Subtraction c. Square root d. Division

Answers

Answer:

Its D. Division

Step-by-step explanation:

Because you have to divide 3 from x and also to 6 and you will get x equals 2.

The answer is d. Division.

Explanation:

3x = 6

3x/3 = 6/3 {Divided by 3}

x = 2

Hope it helps!

TIMED
The model shows the addition expression 18 + 12
One expression that is equivalent to this sum is

3 + 6 + 4
3(6 + 4)
3 + 6(4)
3(6) + 4

Answers

Answer:

3(6 + 4)

Step-by-step explanation:

We have a model that is showing a certain expression, while knowing that the expression it's showing is "18 + 12"

To solve, all we have to do is simplify the answers. Do as following :

A. 3 + 6 + 4

This is already incorrect, the answer is split into three numbers and we are only looking for two, even if you try combining the numbers to make 2 terms, you will not get 18 + 12.

B. 3(6 + 4)

This is correct, the answer is a distribution problem that when solving :

(3(6) + 3(4))

18 + 12

Gives you what the question is asking for.

C. 3 + 6(4)

This is incorrect, when you distribute 6 and 4, you get 24. Leaving you with the expression 3 + 24.

D. This is incorrect, when you distribute 3 and 6, you get 18. Leaving you with the expression 18 + 4.

SOEMOEN HELP ME WITH THE MATH PROBLME If x is 6, what is:
X 2

Answers

I believe that the answer is 2x

Answer:

36

Step-by-step explanation:

The little number, called an exponent, tells you how many times to multiply the big number times itself. In this case, the exponent is 2. So the problem would be 6 x 6, which equals 36. Hope this helps!

If cos x= sin(20 + x)° and 0° < x < 90°, the value of xis

Answers

Answer:

draw a right angle triangle

Step-by-step explanation:

Let one of the angles be A  

cos A = sin (90-A)  

90 - x - 20 = x  

2x = 70  

x = 35 degrees

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can someone pls help me? the due is tmrrw Cultural ________________ are collective ideas about what is important, good, and desirable. is it more important to keep hot foods than it is to keep cold foods cold? A True B False Como afecto la revolucion francesa y la declaracion de los derechos del hombre en la independencia de colombia Simplify to a single power of 5 Bert wants to save $5,742 so that he can buy the car he wants. If Bert can save $18 per day, how many days will it take him to save enough money? Consider a bag with 5 green marbles, 3 blue marbles, and 2 red marbles. If two marbles are drawn without replacement what is the probability that they are both blue?A) .055556B) .066667C) .077778D) .088889 Simplify -3a + 5b - c given a = 2, b = -1 and c= 10 South AfricaPublic DomainWhich of the following countries are compact states? (1 point)O Malawi and South AfricaO Somalia and LiberiaNigeria and LiberiaO Cameroon and SomaliaO The Gambia and Malawiwill give brainliest A rectangle has a perimeter of 124 units. If the length is 5 more than 2 times the width, what is the width. In UVW, u = 190 cm, v = 380 cm and w=560 cm. Find the measure of ZW to thenearest 10th of a degree x 4y = 273x + y = -23 please help. i will give brainliestthe question is in the picture belowA) There is an asymptote at y = 70.B) The y-intercept is located at (0, 70).C) There is an asymptote at x = 0.D) The x-intercept is located at (70, 0). The perimeter of a rectangular atrium is 300 yards. The length of the garden is ninety-six yards more than the width. Find the length and the width Simply the expression by combining the like terms:-6j + 4 + 2j - 1 how are organisms impacted by the changing landscape Will give Brainly! Please help! Describe the effects of totalitarianism on individual lives. On January 2, 2020, Riverbed Company sells production equipment to Fargo Inc. for $46,000. Riverbed includes a 2-year assurance warranty service with the sale of all its equipment. The customer receives and pays for the equipment on January 2, 2020. During 2020, Riverbed incurs costs related to warranties of $900. At December 31, 2020, Riverbed estimates that $690 of warranty costs will be incurred in the second year of the warranty.Required:a. Prepare the journal entry to record this transaction on January 2, 2020, and on December 31, 2020. b. Repeat the requirements for (a), assuming that in addition to the assurance warranty. 4(x + 3) = 3(3x - 1)