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

Please help me with this question I really need help!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

Step-by-step explanation:

The angles of a triangle add up to 180°.

∠4 = 180°-35°-90° = 55°

The cost of a tablet after a 20% discount can be represented by the expression t-0.2t. Simplify the expression

Answers

0.8t

Steps are on paper.

Step-by-step explanation:

simplified 0.16t I used a simplify calculator

In the figure, O is the centre of a circle passing through points
A, B, C and D and ADC = 120
Find the value of x.​

Answers

Answer:

30 degrees

Step-by-step explanation:

The computation of the value of x is given below:

Given that

ADC = 120 degrees

So ABC = 60 degrees

As the sum of the opposite angles are 180 degrees

And ACB = 90 degrees

Now in Triangle ADC

Angle ACB + Angle ABC + x = 180 degrees

90 + 60 + x = 180

x = 30 degrees

When building a house, the number of days required to build varies inversely with with the number of workers. One house was built in 75 days by 11 workers. How many days would it take to build a similar house with 33 workers?

Answers

Answer:

25 days

Step-by-step explanation:

11 workers in 75 days

so 33 workers do it in 25 days

MARK ME AS BRAINLIST

There once was a fantastic football player named Leyton Channing. People often criticized him for not being
tough. They said when he played in harsh conditions like snow or frigid temperatures, he couldn't win.
After analyzing data, however, statisticians determined that there was no association between Leyton winning
and Leyton playing in harsh conditions. The frequency table below shows data for the games that Leyton played.
Fill in the missing values from the frequency table.

Answers

Answer:

Find the missing values by using the formula:

= Row total * Column total/Grand total

                                                Win                         Loss                      Row total

Normal Conditions                 154                         66                          220

Harsh Conditions                    14                             6                            20

Column Total                          168                            72                         240

Win - Normal conditions:                                       Loss - Normal conditions

= 220 * 168/240                                                      = 220 * 72/240

= 154                                                                        = 66

Win  - Harsh conditions                                          Loss - Harsh conditions

= 20 * 168 / 240                                                       = 20 * 72/240

= 14                                                                           = 6

Which expression represents the algebraic phrase “eleven less than seven times a number”?
11x - 7
7x-11
11 + 7x
11-7x

Answers

11-7x because eleven less than is 11- and seven times a number is 7x

What percent is represented by the region that is shaded? Exact
answers only (no rounding).

Answers

I jus sayin the park with the woods on the woods at the mall

Answer:

64 percent

Step-by-step explanation:

because there is 24 sq and 100 divided by 24 is 4, 4 times 16 is 64

A family borrows money for a rainforest tour. The simple annual interest rate is 12%. The loan is paid after 3 months. What is the total amount paid for the tour?

Answers

Answer:

1,266.90

Step-by-step explanation:

1. 940 + 170 + 120 = 1,230

2. 1,230 x 0.12 x 0.25 = 36.9

3. 36.9 + 1,230 = 1,266.90 (FINAL ANSWER)

HELP PLEEEASE DUE TODAY ALL MY POINTS

if ΔABC and ΔXYZ are similar which must be true

Answers

C.

You must match the letters.

Answer:

C)

Step-by-step explanation:

Hope that helps!

Please help thank you if you do

Answers

4/5 z = 2/7

7×4×z = 2× 5 (move the denominator of both fractions to the other side)

28z = 10

z = 10 ÷ 28

z = 5/14

Answer: The answer your looking for is 5/14

Step-by-step explanation: You want to leave the variable alone, so you divide both sides by 4/5. If you divide 2/7 by 4/5, you get 5/14.

What is -5 + 7
I need too know this because I am in 7th grade for the 5th time and this is the unit that always made me fail. PLEASE HELP!!!

Answers

Answer:

2

Step-by-step explanation:

Answer:

2

Step-by-step explanation:

Ok so what you wanna do is subtract 5 from 7 which is 2, the answer is 2

One interior angle of a convex polygon (a convex polygon is a polygon where all angles
are less than 180 degrees) is 120 degrees. All the other angles are 130 degrees. How many sides
does the polygon have?

Answers

Answer:

7 sides

Step-by-step explanation:

120 + 130x = 180 * (x+1-2)

120 + 130x = 180x - 180

300 = 50x

x = 6

You get that x = 6, but there is still one angle that equals 120, so you have a 7 sided polygon.

Answer:

7

Step-by-step explanation:

If the simple interest on $2,000 for 2 years is $280, then what is the interest rate?

Answers

Answer:

0,28percent

Step-by-step explanation:

If simple interest formula is = P X r X t

Then  interest rate = p X t/ I

solve for x 3x/2= 15

Answers

Answer:

the answer is x=10

:)

Step-by-step explanation:

PLEASE ANSWER QUICKLY I NEED AN ANSWER PLEASE ;0;

Answers

Answer:

infinitely many solution......

please help it’s due!

Answers

Answer:

....m....................................

THE ANSWER IS: 42.6 units

i found the lengths of FE and FD by using the pythagorean theorem

then added all three lengths together to get 42.6

what are the x intercepts of y=x^2-x-12

Answers

x intercept: (4,0) , (-3,0)
y intercept: (0,-12)

Hope this helps!

Answer:

The person at the top is right. Give them brainliest

5,3,1,-1, common difference or common ratio

Answers

Answer:

Common

Step-by-step explanation:

Hey guys I need help with this question. Solve the system by substitution: x=-1 and 4x+2y=16

Answers

4(-1) + 2y = 16
-4 + 2y = 16
2y = 20
y = 10

I think this is how u do it..
4x + 2y = 16
4(-1) + 2y = 16
-4 + 2y = 16
+4 +4
2y = 20
/2 /2
y = 10

After two six sided dice are rolled, what is the probability that the dice faces add up to either a 4 or 6?

Answers

6 = 36 because each die has 1 to 6 number on its faces.

Answer:

.222

Step-by-step explanation:

Round 42,736,325 to the nearest million​

Answers

Answer:

i hope this helps  :)

Step-by-step explanation:

Grouped, 19546576 is 19,546,576. We underline through the millions place and mark the next digit. 19,546,576

Because the marked digit is 5, we increase 19 by 1 and replace all digits to the right with zeros: 20,000,000.

Thus 19,546,576 rounded to the nearest million is 20,000,000.

Answer:

43 million

43000000

Step-by-step explanation:

7 rounds up

find the formula for the nth term in the given sequence 12,36,108,324,972​

Answers

Answer:

[tex]\huge\boxed{a_n=12\cdot3^{n-1}=4\cdot3^n}[/tex]

Step-by-step explanation:

[tex]a_1=12\\\\a_2=36=3\cdot12=3a_1\\\\a_3=108=3\cdot36=3a_2=3\cdot3a_1=3^2a_1\\\\a_4=324=3\cdot108=3a_3=3\cdot3^2a_1=3^3a_1\\\\a_5=972=3\cdot342=3a_4=3\cdot3^3a_1=3^4a_1\\\vdots\\a_n=3^{n-1}a_1=3^{n-1}\cdot12\\\\3^{n-1}\cdot12=3^{n-1}\cdot3\cdot4=3^{n-1+1}\cdot4=4\cdot3^n[/tex]

[tex]\text{Used}\\\\a^n\cdot a^m=a^{n+m}[/tex]

Find the width of rectangle which has perimeter of 24 cm and length is 8 cm. *​

Answers

Answer:

Breadth is 4cm

Step-by-step explanation:

Perimeter = 24cm

Length= 8cm

let the breadth be x

Perimeter = 2(l+b)

24 = 2(8+x)

24 = 16+2x

24-16 = 2x

8 = 2x

8÷2 = x

4 = x

Therefore, breadth is 4cm

PLS MARK ME AS BRAINLIEST★

If f(7) = 22, then
f^-1(22) = [?]

Answers

Answer:

it equals 7

Step-by-step explanation:

its just a rule, there is no step by step solution. if f(x)= y, then f^-1(y) = x

The given number line shows the solutions to which inequality?

Answers are
A x+7=<5
Bx+3=>1
Cx-5>2
Dx-1<=
I dont think the answer is b or c

Answers

Answer:

the answer is c we just did this in class

C. Find the value of x below:
15.r + 5
-2 + 16.

Answers

Answer:

7

Step-by-step explanation:

(15x + 5) and (-2 + 16x) represents the measures of corresponding angles.

Measures of corresponding angles are equal.

Therefore,

- 2 + 16x = 15x + 5

16x - 15x = 5 + 2

x = 7

Please help!! I will give you brain list

Answers

It would take you 16.84 or 17 weeks because 85,489÷10,153 equals 8.42 and if you multiply 8.42 by 2 you would get 16.84

Answer:

It will take you at least 17 full weeks to make twice what you spend on the arcade.

Step-by-step explanation:

The inequality will look like this: 10,153x ≥ 170,978

After 17 weeks, you'll have made $172,601, one week less you'll only make $162,448, so it will take you at least 17 full weeks to make twice what you spent on the arcade.

help me on this.


what can be used in step 3?​

Answers

Step-by-step explanation:

answer is been attached, hope u understand

evaluate 3 + jk + k3 when j = 2 and k = 6.​

Answers

Answer:

231

Step-by-step explanation:

El numero tal que su 35% es 7

Answers

no entendo ???????? isto

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