SlideShare uma empresa Scribd logo
1 de 1
Baixar para ler offline
According to Chebyshev's theorem, the proportion of values from a data set that is further than 2
standard deviations from the mean is at most:
A. 0.50
B. 0.13
C. 1.00
D. 0.25
Solution
Let X be a random variable whose distribution has mean m and standard deviation s, then
Chebyshev's theorem says precisely that P(|X - m| ks) 1/k^2, that is the probability or in your
case proportion that is more than k standard deviations away from the mean is at most 1/k^2.
Applying this to your case, the proportion that is more than 2 standard deivations away must be
at most 1/2^2 = .25. Therefore, the answer is d.

Mais conteúdo relacionado

Mais de akashitproduct

Adam Smith is called the father of modern economics and his book.pdf
Adam Smith is called the father of modern economics and his book.pdfAdam Smith is called the father of modern economics and his book.pdf
Adam Smith is called the father of modern economics and his book.pdf
akashitproduct
 
Accounting is the information system that identifies records and com.pdf
Accounting is the information system that identifies records and com.pdfAccounting is the information system that identifies records and com.pdf
Accounting is the information system that identifies records and com.pdf
akashitproduct
 
Accordingly to Whitman and Mattord the containment phase is the thir.pdf
Accordingly to Whitman and Mattord the containment phase is the thir.pdfAccordingly to Whitman and Mattord the containment phase is the thir.pdf
Accordingly to Whitman and Mattord the containment phase is the thir.pdf
akashitproduct
 
According to the Texas Department of State Health Services, there ar.pdf
According to the Texas Department of State Health Services, there ar.pdfAccording to the Texas Department of State Health Services, there ar.pdf
According to the Texas Department of State Health Services, there ar.pdf
akashitproduct
 

Mais de akashitproduct (10)

According to Classical economists, which type of fiscal policy finan.pdf
According to Classical economists, which type of fiscal policy finan.pdfAccording to Classical economists, which type of fiscal policy finan.pdf
According to Classical economists, which type of fiscal policy finan.pdf
 
According to Plato is it better to know the truth and be unhappy tha.pdf
According to Plato is it better to know the truth and be unhappy tha.pdfAccording to Plato is it better to know the truth and be unhappy tha.pdf
According to Plato is it better to know the truth and be unhappy tha.pdf
 
Adam Smith is called the father of modern economics and his book.pdf
Adam Smith is called the father of modern economics and his book.pdfAdam Smith is called the father of modern economics and his book.pdf
Adam Smith is called the father of modern economics and his book.pdf
 
Accounts Requiring AdjustmentIndicate with a Yes or No whether or .pdf
Accounts Requiring AdjustmentIndicate with a Yes or No whether or .pdfAccounts Requiring AdjustmentIndicate with a Yes or No whether or .pdf
Accounts Requiring AdjustmentIndicate with a Yes or No whether or .pdf
 
Accrual accounting consists of all the techniques developed by accou.pdf
Accrual accounting consists of all the techniques developed by accou.pdfAccrual accounting consists of all the techniques developed by accou.pdf
Accrual accounting consists of all the techniques developed by accou.pdf
 
Accounting is the information system that identifies records and com.pdf
Accounting is the information system that identifies records and com.pdfAccounting is the information system that identifies records and com.pdf
Accounting is the information system that identifies records and com.pdf
 
According to a study, the scale of scores on an IQ test of adults is.pdf
According to a study, the scale of scores on an IQ test of adults is.pdfAccording to a study, the scale of scores on an IQ test of adults is.pdf
According to a study, the scale of scores on an IQ test of adults is.pdf
 
According to the Us Census Bureau, in 2007 about 10 of persons betw.pdf
According to the Us Census Bureau, in 2007 about 10 of persons betw.pdfAccording to the Us Census Bureau, in 2007 about 10 of persons betw.pdf
According to the Us Census Bureau, in 2007 about 10 of persons betw.pdf
 
Accordingly to Whitman and Mattord the containment phase is the thir.pdf
Accordingly to Whitman and Mattord the containment phase is the thir.pdfAccordingly to Whitman and Mattord the containment phase is the thir.pdf
Accordingly to Whitman and Mattord the containment phase is the thir.pdf
 
According to the Texas Department of State Health Services, there ar.pdf
According to the Texas Department of State Health Services, there ar.pdfAccording to the Texas Department of State Health Services, there ar.pdf
According to the Texas Department of State Health Services, there ar.pdf
 

Último

The basics of sentences session 3pptx.pptx
The basics of sentences session 3pptx.pptxThe basics of sentences session 3pptx.pptx
The basics of sentences session 3pptx.pptx
heathfieldcps1
 
Jual Obat Aborsi Hongkong ( Asli No.1 ) 085657271886 Obat Penggugur Kandungan...
Jual Obat Aborsi Hongkong ( Asli No.1 ) 085657271886 Obat Penggugur Kandungan...Jual Obat Aborsi Hongkong ( Asli No.1 ) 085657271886 Obat Penggugur Kandungan...
Jual Obat Aborsi Hongkong ( Asli No.1 ) 085657271886 Obat Penggugur Kandungan...
ZurliaSoop
 
Russian Escort Service in Delhi 11k Hotel Foreigner Russian Call Girls in Delhi
Russian Escort Service in Delhi 11k Hotel Foreigner Russian Call Girls in DelhiRussian Escort Service in Delhi 11k Hotel Foreigner Russian Call Girls in Delhi
Russian Escort Service in Delhi 11k Hotel Foreigner Russian Call Girls in Delhi
kauryashika82
 
Activity 01 - Artificial Culture (1).pdf
Activity 01 - Artificial Culture (1).pdfActivity 01 - Artificial Culture (1).pdf
Activity 01 - Artificial Culture (1).pdf
ciinovamais
 
1029-Danh muc Sach Giao Khoa khoi 6.pdf
1029-Danh muc Sach Giao Khoa khoi  6.pdf1029-Danh muc Sach Giao Khoa khoi  6.pdf
1029-Danh muc Sach Giao Khoa khoi 6.pdf
QucHHunhnh
 

Último (20)

The basics of sentences session 3pptx.pptx
The basics of sentences session 3pptx.pptxThe basics of sentences session 3pptx.pptx
The basics of sentences session 3pptx.pptx
 
TỔNG ÔN TẬP THI VÀO LỚP 10 MÔN TIẾNG ANH NĂM HỌC 2023 - 2024 CÓ ĐÁP ÁN (NGỮ Â...
TỔNG ÔN TẬP THI VÀO LỚP 10 MÔN TIẾNG ANH NĂM HỌC 2023 - 2024 CÓ ĐÁP ÁN (NGỮ Â...TỔNG ÔN TẬP THI VÀO LỚP 10 MÔN TIẾNG ANH NĂM HỌC 2023 - 2024 CÓ ĐÁP ÁN (NGỮ Â...
TỔNG ÔN TẬP THI VÀO LỚP 10 MÔN TIẾNG ANH NĂM HỌC 2023 - 2024 CÓ ĐÁP ÁN (NGỮ Â...
 
microwave assisted reaction. General introduction
microwave assisted reaction. General introductionmicrowave assisted reaction. General introduction
microwave assisted reaction. General introduction
 
Jual Obat Aborsi Hongkong ( Asli No.1 ) 085657271886 Obat Penggugur Kandungan...
Jual Obat Aborsi Hongkong ( Asli No.1 ) 085657271886 Obat Penggugur Kandungan...Jual Obat Aborsi Hongkong ( Asli No.1 ) 085657271886 Obat Penggugur Kandungan...
Jual Obat Aborsi Hongkong ( Asli No.1 ) 085657271886 Obat Penggugur Kandungan...
 
Application orientated numerical on hev.ppt
Application orientated numerical on hev.pptApplication orientated numerical on hev.ppt
Application orientated numerical on hev.ppt
 
Mehran University Newsletter Vol-X, Issue-I, 2024
Mehran University Newsletter Vol-X, Issue-I, 2024Mehran University Newsletter Vol-X, Issue-I, 2024
Mehran University Newsletter Vol-X, Issue-I, 2024
 
Accessible Digital Futures project (20/03/2024)
Accessible Digital Futures project (20/03/2024)Accessible Digital Futures project (20/03/2024)
Accessible Digital Futures project (20/03/2024)
 
ICT role in 21st century education and it's challenges.
ICT role in 21st century education and it's challenges.ICT role in 21st century education and it's challenges.
ICT role in 21st century education and it's challenges.
 
Unit-V; Pricing (Pharma Marketing Management).pptx
Unit-V; Pricing (Pharma Marketing Management).pptxUnit-V; Pricing (Pharma Marketing Management).pptx
Unit-V; Pricing (Pharma Marketing Management).pptx
 
Russian Escort Service in Delhi 11k Hotel Foreigner Russian Call Girls in Delhi
Russian Escort Service in Delhi 11k Hotel Foreigner Russian Call Girls in DelhiRussian Escort Service in Delhi 11k Hotel Foreigner Russian Call Girls in Delhi
Russian Escort Service in Delhi 11k Hotel Foreigner Russian Call Girls in Delhi
 
Activity 01 - Artificial Culture (1).pdf
Activity 01 - Artificial Culture (1).pdfActivity 01 - Artificial Culture (1).pdf
Activity 01 - Artificial Culture (1).pdf
 
Introduction to Nonprofit Accounting: The Basics
Introduction to Nonprofit Accounting: The BasicsIntroduction to Nonprofit Accounting: The Basics
Introduction to Nonprofit Accounting: The Basics
 
SKILL OF INTRODUCING THE LESSON MICRO SKILLS.pptx
SKILL OF INTRODUCING THE LESSON MICRO SKILLS.pptxSKILL OF INTRODUCING THE LESSON MICRO SKILLS.pptx
SKILL OF INTRODUCING THE LESSON MICRO SKILLS.pptx
 
Kodo Millet PPT made by Ghanshyam bairwa college of Agriculture kumher bhara...
Kodo Millet  PPT made by Ghanshyam bairwa college of Agriculture kumher bhara...Kodo Millet  PPT made by Ghanshyam bairwa college of Agriculture kumher bhara...
Kodo Millet PPT made by Ghanshyam bairwa college of Agriculture kumher bhara...
 
Mixin Classes in Odoo 17 How to Extend Models Using Mixin Classes
Mixin Classes in Odoo 17  How to Extend Models Using Mixin ClassesMixin Classes in Odoo 17  How to Extend Models Using Mixin Classes
Mixin Classes in Odoo 17 How to Extend Models Using Mixin Classes
 
Magic bus Group work1and 2 (Team 3).pptx
Magic bus Group work1and 2 (Team 3).pptxMagic bus Group work1and 2 (Team 3).pptx
Magic bus Group work1and 2 (Team 3).pptx
 
Spatium Project Simulation student brief
Spatium Project Simulation student briefSpatium Project Simulation student brief
Spatium Project Simulation student brief
 
How to Manage Global Discount in Odoo 17 POS
How to Manage Global Discount in Odoo 17 POSHow to Manage Global Discount in Odoo 17 POS
How to Manage Global Discount in Odoo 17 POS
 
Sociology 101 Demonstration of Learning Exhibit
Sociology 101 Demonstration of Learning ExhibitSociology 101 Demonstration of Learning Exhibit
Sociology 101 Demonstration of Learning Exhibit
 
1029-Danh muc Sach Giao Khoa khoi 6.pdf
1029-Danh muc Sach Giao Khoa khoi  6.pdf1029-Danh muc Sach Giao Khoa khoi  6.pdf
1029-Danh muc Sach Giao Khoa khoi 6.pdf
 

According to Chebyshevs theorem, the proportion of values from a d.pdf

  • 1. According to Chebyshev's theorem, the proportion of values from a data set that is further than 2 standard deviations from the mean is at most: A. 0.50 B. 0.13 C. 1.00 D. 0.25 Solution Let X be a random variable whose distribution has mean m and standard deviation s, then Chebyshev's theorem says precisely that P(|X - m| ks) 1/k^2, that is the probability or in your case proportion that is more than k standard deviations away from the mean is at most 1/k^2. Applying this to your case, the proportion that is more than 2 standard deivations away must be at most 1/2^2 = .25. Therefore, the answer is d.