SlideShare a Scribd company logo
NATA:Statistics ( Part 1)
https://www.mathmadeeasy.co
NATA math
This video is designed to help students preparing for the NATA architecture entrance exams.
Do share my videos with those who need it.
In this video/presentation we learn how to calculate
• Combined mean
• Mean and standard deviation for a frequency distribution
• Probability using addition theorem, multiplication theorem
• Independent events and conditional probability
Combined mean
One set of 100 observations has mean 15 and another set of 150 observations has mean 16. Find
the mean of 250 observations by combining the 2 sets
Q 1
For a set of n observations standard deviation
Q 2) For a set of values
For a frequency distribution
Find the mean and standard deviation of the following data
X 2 3 4 5 6 7
F 4 9 16 14 11 6
Q3)
2 4 8 16
3 9 27 81
4 16 64 256
5 14 70 350
6 11 66 396
7 6 42 294
Addition theorem
The probability that a student will pass the final examination in Physics and Chemistry is 0.5 and
the probability of passing neither is 0.1. if the probability of passing the physics exam is 0.75. What
is the probability of passing the chemistry exam
Let A probability of passing the physics exam
B probability of passing the chemistry exam
P(A)=0.75
Q4)
This is called conditional probability
A and B are said to be independent events if the occurrence of A does not affect the
occurrence of B and vice versa.
If A and B are independent
If A and B are not independent
This is the Multiplication theorem
Q 5) 10 cards numbered 1 to 10 are placed in a box, one card is drawn. If it is known that
the number on the card drawn is greater than 5, what is the probability that it is an even
number
Let A be the event that the number is greater than 5
B is the event that the number is even
5
10
𝑃 𝐵
𝐴 =
𝑃(𝐵 ∩ 𝐴)
𝑃 𝐴
= 3
5
A and B are said to be independent events if the occurrence of A does not affect the
occurrence of B
Q 7)
Q8)
I hope this has helped you to understand
• Mean and standard deviation
• Frequency distribution
• Addition and multiplication theorem
• Conditional probability and independent events
For more videos subscribe to my channel
https://www.mathmadeeasy.co/
Page Nata math

More Related Content

More from sumanmathews

Angle measures-Trigonometry-1-Class XI-CBSE-ISC-Maths
Angle measures-Trigonometry-1-Class XI-CBSE-ISC-MathsAngle measures-Trigonometry-1-Class XI-CBSE-ISC-Maths
Angle measures-Trigonometry-1-Class XI-CBSE-ISC-Maths
sumanmathews
 
Introduction to Continuity - Class 12 Maths- ISC-CBSE
Introduction to Continuity - Class 12 Maths- ISC-CBSEIntroduction to Continuity - Class 12 Maths- ISC-CBSE
Introduction to Continuity - Class 12 Maths- ISC-CBSE
sumanmathews
 
Secrets of solving a PDE-College math
Secrets of solving a PDE-College mathSecrets of solving a PDE-College math
Secrets of solving a PDE-College math
sumanmathews
 
Shares and dividend -Part 2-Class 10 math
Shares and dividend -Part 2-Class 10 mathShares and dividend -Part 2-Class 10 math
Shares and dividend -Part 2-Class 10 math
sumanmathews
 
Shares and dividend _Class 10 mathematics_ICSE
Shares and dividend _Class 10 mathematics_ICSEShares and dividend _Class 10 mathematics_ICSE
Shares and dividend _Class 10 mathematics_ICSE
sumanmathews
 
Prefix codes in graph theory-College math
Prefix codes in graph theory-College mathPrefix codes in graph theory-College math
Prefix codes in graph theory-College math
sumanmathews
 
Trigonometry formulas for class 11
Trigonometry formulas for class 11Trigonometry formulas for class 11
Trigonometry formulas for class 11
sumanmathews
 
Formulas for system of equations matrix form
Formulas for system of equations matrix formFormulas for system of equations matrix form
Formulas for system of equations matrix form
sumanmathews
 
Reducing matrices to normal form: College math
Reducing matrices to normal form: College mathReducing matrices to normal form: College math
Reducing matrices to normal form: College math
sumanmathews
 
Relations and functions class 12 formulas
Relations and functions class 12 formulasRelations and functions class 12 formulas
Relations and functions class 12 formulas
sumanmathews
 
Formulas of Probability :Class 12 maths
Formulas of Probability :Class 12 mathsFormulas of Probability :Class 12 maths
Formulas of Probability :Class 12 maths
sumanmathews
 
Permutations formula for Class 11 maths
Permutations formula for Class 11 mathsPermutations formula for Class 11 maths
Permutations formula for Class 11 maths
sumanmathews
 
Basic Concepts of Probability
Basic Concepts of ProbabilityBasic Concepts of Probability
Basic Concepts of Probability
sumanmathews
 
Permutations of distinct objects
Permutations of distinct objects Permutations of distinct objects
Permutations of distinct objects
sumanmathews
 
Newton's law of cooling and LR circuits/Engineering Maths
Newton's law of cooling and LR circuits/Engineering MathsNewton's law of cooling and LR circuits/Engineering Maths
Newton's law of cooling and LR circuits/Engineering Maths
sumanmathews
 
Trigonometric functions of sums and differences/ class 11 maths
Trigonometric functions of sums and differences/ class 11 mathsTrigonometric functions of sums and differences/ class 11 maths
Trigonometric functions of sums and differences/ class 11 maths
sumanmathews
 
Engineering maths/Exact Differential equations
Engineering maths/Exact Differential equationsEngineering maths/Exact Differential equations
Engineering maths/Exact Differential equations
sumanmathews
 
GRE QUANT: PROBLEMS ON MIXTURES ,HELPFUL TRICKS
GRE QUANT: PROBLEMS ON MIXTURES ,HELPFUL TRICKSGRE QUANT: PROBLEMS ON MIXTURES ,HELPFUL TRICKS
GRE QUANT: PROBLEMS ON MIXTURES ,HELPFUL TRICKS
sumanmathews
 
APPROXIMATIONS IN DERIVATIVES
APPROXIMATIONS IN DERIVATIVESAPPROXIMATIONS IN DERIVATIVES
APPROXIMATIONS IN DERIVATIVES
sumanmathews
 
TYPES OF PARABOLA
TYPES OF PARABOLATYPES OF PARABOLA
TYPES OF PARABOLA
sumanmathews
 

More from sumanmathews (20)

Angle measures-Trigonometry-1-Class XI-CBSE-ISC-Maths
Angle measures-Trigonometry-1-Class XI-CBSE-ISC-MathsAngle measures-Trigonometry-1-Class XI-CBSE-ISC-Maths
Angle measures-Trigonometry-1-Class XI-CBSE-ISC-Maths
 
Introduction to Continuity - Class 12 Maths- ISC-CBSE
Introduction to Continuity - Class 12 Maths- ISC-CBSEIntroduction to Continuity - Class 12 Maths- ISC-CBSE
Introduction to Continuity - Class 12 Maths- ISC-CBSE
 
Secrets of solving a PDE-College math
Secrets of solving a PDE-College mathSecrets of solving a PDE-College math
Secrets of solving a PDE-College math
 
Shares and dividend -Part 2-Class 10 math
Shares and dividend -Part 2-Class 10 mathShares and dividend -Part 2-Class 10 math
Shares and dividend -Part 2-Class 10 math
 
Shares and dividend _Class 10 mathematics_ICSE
Shares and dividend _Class 10 mathematics_ICSEShares and dividend _Class 10 mathematics_ICSE
Shares and dividend _Class 10 mathematics_ICSE
 
Prefix codes in graph theory-College math
Prefix codes in graph theory-College mathPrefix codes in graph theory-College math
Prefix codes in graph theory-College math
 
Trigonometry formulas for class 11
Trigonometry formulas for class 11Trigonometry formulas for class 11
Trigonometry formulas for class 11
 
Formulas for system of equations matrix form
Formulas for system of equations matrix formFormulas for system of equations matrix form
Formulas for system of equations matrix form
 
Reducing matrices to normal form: College math
Reducing matrices to normal form: College mathReducing matrices to normal form: College math
Reducing matrices to normal form: College math
 
Relations and functions class 12 formulas
Relations and functions class 12 formulasRelations and functions class 12 formulas
Relations and functions class 12 formulas
 
Formulas of Probability :Class 12 maths
Formulas of Probability :Class 12 mathsFormulas of Probability :Class 12 maths
Formulas of Probability :Class 12 maths
 
Permutations formula for Class 11 maths
Permutations formula for Class 11 mathsPermutations formula for Class 11 maths
Permutations formula for Class 11 maths
 
Basic Concepts of Probability
Basic Concepts of ProbabilityBasic Concepts of Probability
Basic Concepts of Probability
 
Permutations of distinct objects
Permutations of distinct objects Permutations of distinct objects
Permutations of distinct objects
 
Newton's law of cooling and LR circuits/Engineering Maths
Newton's law of cooling and LR circuits/Engineering MathsNewton's law of cooling and LR circuits/Engineering Maths
Newton's law of cooling and LR circuits/Engineering Maths
 
Trigonometric functions of sums and differences/ class 11 maths
Trigonometric functions of sums and differences/ class 11 mathsTrigonometric functions of sums and differences/ class 11 maths
Trigonometric functions of sums and differences/ class 11 maths
 
Engineering maths/Exact Differential equations
Engineering maths/Exact Differential equationsEngineering maths/Exact Differential equations
Engineering maths/Exact Differential equations
 
GRE QUANT: PROBLEMS ON MIXTURES ,HELPFUL TRICKS
GRE QUANT: PROBLEMS ON MIXTURES ,HELPFUL TRICKSGRE QUANT: PROBLEMS ON MIXTURES ,HELPFUL TRICKS
GRE QUANT: PROBLEMS ON MIXTURES ,HELPFUL TRICKS
 
APPROXIMATIONS IN DERIVATIVES
APPROXIMATIONS IN DERIVATIVESAPPROXIMATIONS IN DERIVATIVES
APPROXIMATIONS IN DERIVATIVES
 
TYPES OF PARABOLA
TYPES OF PARABOLATYPES OF PARABOLA
TYPES OF PARABOLA
 

Recently uploaded

How libraries can support authors with open access requirements for UKRI fund...
How libraries can support authors with open access requirements for UKRI fund...How libraries can support authors with open access requirements for UKRI fund...
How libraries can support authors with open access requirements for UKRI fund...
Jisc
 
Mule 4.6 & Java 17 Upgrade | MuleSoft Mysore Meetup #46
Mule 4.6 & Java 17 Upgrade | MuleSoft Mysore Meetup #46Mule 4.6 & Java 17 Upgrade | MuleSoft Mysore Meetup #46
Mule 4.6 & Java 17 Upgrade | MuleSoft Mysore Meetup #46
MysoreMuleSoftMeetup
 
BÀI TẬP BỔ TRỢ TIẾNG ANH GLOBAL SUCCESS LỚP 3 - CẢ NĂM (CÓ FILE NGHE VÀ ĐÁP Á...
BÀI TẬP BỔ TRỢ TIẾNG ANH GLOBAL SUCCESS LỚP 3 - CẢ NĂM (CÓ FILE NGHE VÀ ĐÁP Á...BÀI TẬP BỔ TRỢ TIẾNG ANH GLOBAL SUCCESS LỚP 3 - CẢ NĂM (CÓ FILE NGHE VÀ ĐÁP Á...
BÀI TẬP BỔ TRỢ TIẾNG ANH GLOBAL SUCCESS LỚP 3 - CẢ NĂM (CÓ FILE NGHE VÀ ĐÁP Á...
Nguyen Thanh Tu Collection
 
How to Make a Field invisible in Odoo 17
How to Make a Field invisible in Odoo 17How to Make a Field invisible in Odoo 17
How to Make a Field invisible in Odoo 17
Celine George
 
Embracing GenAI - A Strategic Imperative
Embracing GenAI - A Strategic ImperativeEmbracing GenAI - A Strategic Imperative
Embracing GenAI - A Strategic Imperative
Peter Windle
 
Natural birth techniques - Mrs.Akanksha Trivedi Rama University
Natural birth techniques - Mrs.Akanksha Trivedi Rama UniversityNatural birth techniques - Mrs.Akanksha Trivedi Rama University
Natural birth techniques - Mrs.Akanksha Trivedi Rama University
Akanksha trivedi rama nursing college kanpur.
 
"Protectable subject matters, Protection in biotechnology, Protection of othe...
"Protectable subject matters, Protection in biotechnology, Protection of othe..."Protectable subject matters, Protection in biotechnology, Protection of othe...
"Protectable subject matters, Protection in biotechnology, Protection of othe...
SACHIN R KONDAGURI
 
Advantages and Disadvantages of CMS from an SEO Perspective
Advantages and Disadvantages of CMS from an SEO PerspectiveAdvantages and Disadvantages of CMS from an SEO Perspective
Advantages and Disadvantages of CMS from an SEO Perspective
Krisztián Száraz
 
Thesis Statement for students diagnonsed withADHD.ppt
Thesis Statement for students diagnonsed withADHD.pptThesis Statement for students diagnonsed withADHD.ppt
Thesis Statement for students diagnonsed withADHD.ppt
EverAndrsGuerraGuerr
 
special B.ed 2nd year old paper_20240531.pdf
special B.ed 2nd year old paper_20240531.pdfspecial B.ed 2nd year old paper_20240531.pdf
special B.ed 2nd year old paper_20240531.pdf
Special education needs
 
1.4 modern child centered education - mahatma gandhi-2.pptx
1.4 modern child centered education - mahatma gandhi-2.pptx1.4 modern child centered education - mahatma gandhi-2.pptx
1.4 modern child centered education - mahatma gandhi-2.pptx
JosvitaDsouza2
 
2024.06.01 Introducing a competency framework for languag learning materials ...
2024.06.01 Introducing a competency framework for languag learning materials ...2024.06.01 Introducing a competency framework for languag learning materials ...
2024.06.01 Introducing a competency framework for languag learning materials ...
Sandy Millin
 
Exploiting Artificial Intelligence for Empowering Researchers and Faculty, In...
Exploiting Artificial Intelligence for Empowering Researchers and Faculty, In...Exploiting Artificial Intelligence for Empowering Researchers and Faculty, In...
Exploiting Artificial Intelligence for Empowering Researchers and Faculty, In...
Dr. Vinod Kumar Kanvaria
 
A Survey of Techniques for Maximizing LLM Performance.pptx
A Survey of Techniques for Maximizing LLM Performance.pptxA Survey of Techniques for Maximizing LLM Performance.pptx
A Survey of Techniques for Maximizing LLM Performance.pptx
thanhdowork
 
June 3, 2024 Anti-Semitism Letter Sent to MIT President Kornbluth and MIT Cor...
June 3, 2024 Anti-Semitism Letter Sent to MIT President Kornbluth and MIT Cor...June 3, 2024 Anti-Semitism Letter Sent to MIT President Kornbluth and MIT Cor...
June 3, 2024 Anti-Semitism Letter Sent to MIT President Kornbluth and MIT Cor...
Levi Shapiro
 
Normal Labour/ Stages of Labour/ Mechanism of Labour
Normal Labour/ Stages of Labour/ Mechanism of LabourNormal Labour/ Stages of Labour/ Mechanism of Labour
Normal Labour/ Stages of Labour/ Mechanism of Labour
Wasim Ak
 
Azure Interview Questions and Answers PDF By ScholarHat
Azure Interview Questions and Answers PDF By ScholarHatAzure Interview Questions and Answers PDF By ScholarHat
Azure Interview Questions and Answers PDF By ScholarHat
Scholarhat
 
The basics of sentences session 5pptx.pptx
The basics of sentences session 5pptx.pptxThe basics of sentences session 5pptx.pptx
The basics of sentences session 5pptx.pptx
heathfieldcps1
 
Acetabularia Information For Class 9 .docx
Acetabularia Information For Class 9  .docxAcetabularia Information For Class 9  .docx
Acetabularia Information For Class 9 .docx
vaibhavrinwa19
 
Chapter 3 - Islamic Banking Products and Services.pptx
Chapter 3 - Islamic Banking Products and Services.pptxChapter 3 - Islamic Banking Products and Services.pptx
Chapter 3 - Islamic Banking Products and Services.pptx
Mohd Adib Abd Muin, Senior Lecturer at Universiti Utara Malaysia
 

Recently uploaded (20)

How libraries can support authors with open access requirements for UKRI fund...
How libraries can support authors with open access requirements for UKRI fund...How libraries can support authors with open access requirements for UKRI fund...
How libraries can support authors with open access requirements for UKRI fund...
 
Mule 4.6 & Java 17 Upgrade | MuleSoft Mysore Meetup #46
Mule 4.6 & Java 17 Upgrade | MuleSoft Mysore Meetup #46Mule 4.6 & Java 17 Upgrade | MuleSoft Mysore Meetup #46
Mule 4.6 & Java 17 Upgrade | MuleSoft Mysore Meetup #46
 
BÀI TẬP BỔ TRỢ TIẾNG ANH GLOBAL SUCCESS LỚP 3 - CẢ NĂM (CÓ FILE NGHE VÀ ĐÁP Á...
BÀI TẬP BỔ TRỢ TIẾNG ANH GLOBAL SUCCESS LỚP 3 - CẢ NĂM (CÓ FILE NGHE VÀ ĐÁP Á...BÀI TẬP BỔ TRỢ TIẾNG ANH GLOBAL SUCCESS LỚP 3 - CẢ NĂM (CÓ FILE NGHE VÀ ĐÁP Á...
BÀI TẬP BỔ TRỢ TIẾNG ANH GLOBAL SUCCESS LỚP 3 - CẢ NĂM (CÓ FILE NGHE VÀ ĐÁP Á...
 
How to Make a Field invisible in Odoo 17
How to Make a Field invisible in Odoo 17How to Make a Field invisible in Odoo 17
How to Make a Field invisible in Odoo 17
 
Embracing GenAI - A Strategic Imperative
Embracing GenAI - A Strategic ImperativeEmbracing GenAI - A Strategic Imperative
Embracing GenAI - A Strategic Imperative
 
Natural birth techniques - Mrs.Akanksha Trivedi Rama University
Natural birth techniques - Mrs.Akanksha Trivedi Rama UniversityNatural birth techniques - Mrs.Akanksha Trivedi Rama University
Natural birth techniques - Mrs.Akanksha Trivedi Rama University
 
"Protectable subject matters, Protection in biotechnology, Protection of othe...
"Protectable subject matters, Protection in biotechnology, Protection of othe..."Protectable subject matters, Protection in biotechnology, Protection of othe...
"Protectable subject matters, Protection in biotechnology, Protection of othe...
 
Advantages and Disadvantages of CMS from an SEO Perspective
Advantages and Disadvantages of CMS from an SEO PerspectiveAdvantages and Disadvantages of CMS from an SEO Perspective
Advantages and Disadvantages of CMS from an SEO Perspective
 
Thesis Statement for students diagnonsed withADHD.ppt
Thesis Statement for students diagnonsed withADHD.pptThesis Statement for students diagnonsed withADHD.ppt
Thesis Statement for students diagnonsed withADHD.ppt
 
special B.ed 2nd year old paper_20240531.pdf
special B.ed 2nd year old paper_20240531.pdfspecial B.ed 2nd year old paper_20240531.pdf
special B.ed 2nd year old paper_20240531.pdf
 
1.4 modern child centered education - mahatma gandhi-2.pptx
1.4 modern child centered education - mahatma gandhi-2.pptx1.4 modern child centered education - mahatma gandhi-2.pptx
1.4 modern child centered education - mahatma gandhi-2.pptx
 
2024.06.01 Introducing a competency framework for languag learning materials ...
2024.06.01 Introducing a competency framework for languag learning materials ...2024.06.01 Introducing a competency framework for languag learning materials ...
2024.06.01 Introducing a competency framework for languag learning materials ...
 
Exploiting Artificial Intelligence for Empowering Researchers and Faculty, In...
Exploiting Artificial Intelligence for Empowering Researchers and Faculty, In...Exploiting Artificial Intelligence for Empowering Researchers and Faculty, In...
Exploiting Artificial Intelligence for Empowering Researchers and Faculty, In...
 
A Survey of Techniques for Maximizing LLM Performance.pptx
A Survey of Techniques for Maximizing LLM Performance.pptxA Survey of Techniques for Maximizing LLM Performance.pptx
A Survey of Techniques for Maximizing LLM Performance.pptx
 
June 3, 2024 Anti-Semitism Letter Sent to MIT President Kornbluth and MIT Cor...
June 3, 2024 Anti-Semitism Letter Sent to MIT President Kornbluth and MIT Cor...June 3, 2024 Anti-Semitism Letter Sent to MIT President Kornbluth and MIT Cor...
June 3, 2024 Anti-Semitism Letter Sent to MIT President Kornbluth and MIT Cor...
 
Normal Labour/ Stages of Labour/ Mechanism of Labour
Normal Labour/ Stages of Labour/ Mechanism of LabourNormal Labour/ Stages of Labour/ Mechanism of Labour
Normal Labour/ Stages of Labour/ Mechanism of Labour
 
Azure Interview Questions and Answers PDF By ScholarHat
Azure Interview Questions and Answers PDF By ScholarHatAzure Interview Questions and Answers PDF By ScholarHat
Azure Interview Questions and Answers PDF By ScholarHat
 
The basics of sentences session 5pptx.pptx
The basics of sentences session 5pptx.pptxThe basics of sentences session 5pptx.pptx
The basics of sentences session 5pptx.pptx
 
Acetabularia Information For Class 9 .docx
Acetabularia Information For Class 9  .docxAcetabularia Information For Class 9  .docx
Acetabularia Information For Class 9 .docx
 
Chapter 3 - Islamic Banking Products and Services.pptx
Chapter 3 - Islamic Banking Products and Services.pptxChapter 3 - Islamic Banking Products and Services.pptx
Chapter 3 - Islamic Banking Products and Services.pptx
 

NATA- STATISTICS (PART 1)

  • 1. NATA:Statistics ( Part 1) https://www.mathmadeeasy.co NATA math
  • 2. This video is designed to help students preparing for the NATA architecture entrance exams. Do share my videos with those who need it.
  • 3. In this video/presentation we learn how to calculate • Combined mean • Mean and standard deviation for a frequency distribution • Probability using addition theorem, multiplication theorem • Independent events and conditional probability
  • 5. One set of 100 observations has mean 15 and another set of 150 observations has mean 16. Find the mean of 250 observations by combining the 2 sets Q 1
  • 6. For a set of n observations standard deviation
  • 7. Q 2) For a set of values
  • 8. For a frequency distribution Find the mean and standard deviation of the following data X 2 3 4 5 6 7 F 4 9 16 14 11 6 Q3)
  • 9. 2 4 8 16 3 9 27 81 4 16 64 256 5 14 70 350 6 11 66 396 7 6 42 294
  • 10. Addition theorem The probability that a student will pass the final examination in Physics and Chemistry is 0.5 and the probability of passing neither is 0.1. if the probability of passing the physics exam is 0.75. What is the probability of passing the chemistry exam Let A probability of passing the physics exam B probability of passing the chemistry exam P(A)=0.75 Q4)
  • 11.
  • 12.
  • 13. This is called conditional probability
  • 14. A and B are said to be independent events if the occurrence of A does not affect the occurrence of B and vice versa. If A and B are independent If A and B are not independent This is the Multiplication theorem
  • 15. Q 5) 10 cards numbered 1 to 10 are placed in a box, one card is drawn. If it is known that the number on the card drawn is greater than 5, what is the probability that it is an even number Let A be the event that the number is greater than 5 B is the event that the number is even 5 10
  • 16. 𝑃 𝐵 𝐴 = 𝑃(𝐵 ∩ 𝐴) 𝑃 𝐴 = 3 5
  • 17. A and B are said to be independent events if the occurrence of A does not affect the occurrence of B
  • 18. Q 7)
  • 19.
  • 20. Q8)
  • 21.
  • 22.
  • 23. I hope this has helped you to understand • Mean and standard deviation • Frequency distribution • Addition and multiplication theorem • Conditional probability and independent events
  • 24. For more videos subscribe to my channel https://www.mathmadeeasy.co/ Page Nata math