SlideShare a Scribd company logo
Submitted By :- Harjeet Singh
MBA – I Semester
Baddi University Emerging Technology & Science
Formula Individual Series Discrete Series Continuous
Series
Direct
_ ∑X
X = -----
N
_ ∑fX
X = -----
N
_ ∑fm
X = ------
N
Short cut
_ ∑d
X = A + -----
N
_ ∑fd
X = A + -----
N
_ ∑fd
X = A + -----
N
Step Deviation
_ ∑fd
X = A + ----- *
i
N
_
(d= X - X)
_ ∑fd
X = A + ----- *
i
N
_
(d= X - X)
Correcting Incorrect
Mean
Average Mean
 Correct ∑X = Incorrect
∑X – Wrong Item +
Correct Item
_
Correct ∑X
 Correct X = --------
--------
N
 Combined Average
Mean:-
_ _
_ N1 X1 + N2 X2
X = --------------
---
N1 + N2
 Weighted Average
Mean:-
_ ∑WX
X = --------
∑W
Individual Series Discrete Series Continuous Series
N+1
Size of --------- th
item
2
N+1
Size of --------- th
item
2
{ N/2 – Cf}
L1 + ------------ *
i
f
(Size of N/2 th item)
Individual & Discrete
Series
Continuous series
N + 1
 Q1 = Size of -------- th item
4
3(N + 1)
 Q3 =Size of ----------- th
item
4
Q3 - Q1
 QD = ----------
2
N
 Q1 = Size of ---- th item
4
3(N)
 Q3 = Size of ------- th item
4
 QD = { N/4 – Cf}
L1 + ------------
* i
f
Q3 - Q1
 QD Coeff. = -----------
Q3 + Q1
 Individual series :- 60(N + 1)
P60 = Size of ------------ th item
100
 Continuous Series :- 50(N)
P50 = Size of --------- th item
100
 P = { N/100 – Cf}
L1 + ------------ * i
f
f1 – f0
 Z = L1 + ------------ * i
2f1 – f0 – f2
Z = 3*median – 2*mean
1) Range :- L – S
L – S
Coeff. :- ---------
L + S
2) Quartile Deviation :-
 Individual & Discrete Series :- Q3 - Q1 / 2
 Continues series :- Q3 - Q1 / 2
Q3 - Q1
 Coeff. = -----------
Q3 + Q1
3) Mean Deviation :-
∑|d|
 Individual Series = --------
N
∑f|d|
 Discrete & Continues Series = ---------
N
Mean Deviation
 Coeff. = -----------------------
Median
4) Standard Deviation :-
 Individual Series:- _______
 Actual Mean (σ) = ⎷ ∑x2 / N
________________
 Assumed Mean (σ) = ⎷ ∑d2 /N - (∑d / N) 2
 Discrete Series:- ________
 Actual Mean (σ) = ⎷ ∑fx2 / N
_______________
 Assumed Mean (σ) = ⎷ ∑fd 2 /N - (∑fd / N) 2
________________
 Continues Series (σ) = ⎷ ∑fd2 /N - (∑fd / N) 2 * i
_ _
_ N1 X1 + N2 X2
5) Combined Mean X12 = ------------------
N1 + N2
6) Combined Standard Deviation :-
________________________________________
| N1 σ1
2 + N2 σ2
2 + N3 σ3
2 + N1 d1
2 + N2 d2
2 + N3 d3
2
(σ) =⎷ -------------------------------------------------------------
----
N1 + N2 + N3
_ _ _ _
d1 = |X1 - X123| d2 = |X2 - X123|
_ _
d3 = |X3 - X123|
_
Coefficient of Variance = σ / X * 100
1) Karl Pearson's Skewness :-
SKP = Mean – Mode / Standard Deviation
2) Bowley’s Skewness :-
SKB = Q3 + Q1 – 2 Median / Q3 - Q1
3) Kelly’s Skewness :-
SKK = P10 + P90 – 2 Median / P90 - P10
1) Laspayer’s Method P01 = ∑p1 q0 / ∑p0 q0 * 100
2) Paasch’s Method P01 = ∑p1 q1 / ∑p0 q1 * 100
3) Bowley’s Method = Laspayer’s + Paasch’s / 2
___________________
4) Fisher’s Method = ⎷ Laspayer’s * Paasch’s
5) Marshal Method = ∑p1 q0 + ∑p1 q1 / ∑p0 q0 + ∑p0 q1 * 100
6) Kelly ‘s Method = p1q / p1 q *100
 Time reversal Test :- P01 * P10 = 1
 Factor Reversal Test:- p01 * q01 = ∑p1 q1 /
∑p0 q0
 Weighted Average Relative Method:-
P01 = ∑pv / ∑v
= ∑p1 / ∑p0 * 100
(P = Price Relative )
 Actual Mean :-
∑ xy ∑xy
r = --------- or ------------
N σx σy ⎷ ∑ x2 * ∑ y2
 Assumed Mean :-
N ∑dx dy - ∑dx * ∑dy
r = ---------------------------------
⎷ N ∑dx2 - (∑dx)2 * ⎷ N ∑dy2 - (∑dy)2
1) Regression Equation of (X on Y) :-
_ σy _
(X – X) = r ------ (Y - Y)
σx
σx N ∑dx dy - ∑dx * ∑dy
r------ = ------------------
σy ⎷ N ∑dy2 - (∑dy)2
2) Regression Equation of (Y on X) :-
_ σy _
(Y – Y) = r ------ (X - X)
σx
σy N ∑dx dy - ∑dx * ∑dy
r------ = --------------------
σx ⎷ N ∑dx2 - (∑dx)2
_ ∑x _ ∑y
X = ------ ; Y = ------
N N
 Regression Coefficient :-
r = ⎷bxy * byx
 Time Series:-
Yc = a + bx
a = ∑y / n
b = ∑xy / ∑x2

More Related Content

What's hot

Partial Correlation, Multiple Correlation And Multiple Regression Analysis
Partial Correlation, Multiple Correlation And Multiple Regression AnalysisPartial Correlation, Multiple Correlation And Multiple Regression Analysis
Partial Correlation, Multiple Correlation And Multiple Regression Analysis
Sundar B N
 
Correlation analysis ppt
Correlation analysis pptCorrelation analysis ppt
Correlation analysis ppt
Anil Mishra
 
Statistics-Measures of dispersions
Statistics-Measures of dispersionsStatistics-Measures of dispersions
Statistics-Measures of dispersions
Capricorn
 
Statistical inference
Statistical inferenceStatistical inference
Statistical inference
Jags Jagdish
 
Spearman Rank
Spearman RankSpearman Rank
Spearman Rank
i-study-co-uk
 
Normal distribution
Normal distributionNormal distribution
Normal distribution
Marjorie Rice
 
PROBABILITY AND IT'S TYPES WITH RULES
PROBABILITY AND IT'S TYPES WITH RULESPROBABILITY AND IT'S TYPES WITH RULES
PROBABILITY AND IT'S TYPES WITH RULES
Bhargavi Bhanu
 
Pearson's correlation
Pearson's correlationPearson's correlation
Pearson's correlation
PoojaSharma1336
 
Karl pearson's correlation
Karl pearson's correlationKarl pearson's correlation
Karl pearson's correlation
fairoos1
 
Spearman’s Rank Correlation Coefficient
Spearman’s Rank Correlation CoefficientSpearman’s Rank Correlation Coefficient
Spearman’s Rank Correlation Coefficient
Sharlaine Ruth
 
Measures of relationship
Measures of relationshipMeasures of relationship
Measures of relationship
Johny Kutty Joseph
 
correlation_and_covariance
correlation_and_covariancecorrelation_and_covariance
correlation_and_covariance
Ekta Doger
 
Correlation Analysis
Correlation AnalysisCorrelation Analysis
Correlation Analysis
Birinder Singh Gulati
 
Correlation in Statistics
Correlation in StatisticsCorrelation in Statistics
Correlation in Statistics
Avjinder (Avi) Kaler
 
Correlation and regression
Correlation and regressionCorrelation and regression
Correlation and regression
Mohit Asija
 
Measures of dispersion
Measures of dispersionMeasures of dispersion
Measures of dispersion
Gnana Sravani
 
2.4 Scatterplots, correlation, and regression
2.4 Scatterplots, correlation, and regression2.4 Scatterplots, correlation, and regression
2.4 Scatterplots, correlation, and regression
Long Beach City College
 
Discrete and continuous probability distributions ppt @ bec doms
Discrete and continuous probability distributions ppt @ bec domsDiscrete and continuous probability distributions ppt @ bec doms
Discrete and continuous probability distributions ppt @ bec doms
Babasab Patil
 
Spearman Rank Correlation Presentation
Spearman Rank Correlation PresentationSpearman Rank Correlation Presentation
Spearman Rank Correlation Presentation
cae_021
 
Mpc 006 - 02-03 partial and multiple correlation
Mpc 006 - 02-03 partial and multiple correlationMpc 006 - 02-03 partial and multiple correlation
Mpc 006 - 02-03 partial and multiple correlation
Vasant Kothari
 

What's hot (20)

Partial Correlation, Multiple Correlation And Multiple Regression Analysis
Partial Correlation, Multiple Correlation And Multiple Regression AnalysisPartial Correlation, Multiple Correlation And Multiple Regression Analysis
Partial Correlation, Multiple Correlation And Multiple Regression Analysis
 
Correlation analysis ppt
Correlation analysis pptCorrelation analysis ppt
Correlation analysis ppt
 
Statistics-Measures of dispersions
Statistics-Measures of dispersionsStatistics-Measures of dispersions
Statistics-Measures of dispersions
 
Statistical inference
Statistical inferenceStatistical inference
Statistical inference
 
Spearman Rank
Spearman RankSpearman Rank
Spearman Rank
 
Normal distribution
Normal distributionNormal distribution
Normal distribution
 
PROBABILITY AND IT'S TYPES WITH RULES
PROBABILITY AND IT'S TYPES WITH RULESPROBABILITY AND IT'S TYPES WITH RULES
PROBABILITY AND IT'S TYPES WITH RULES
 
Pearson's correlation
Pearson's correlationPearson's correlation
Pearson's correlation
 
Karl pearson's correlation
Karl pearson's correlationKarl pearson's correlation
Karl pearson's correlation
 
Spearman’s Rank Correlation Coefficient
Spearman’s Rank Correlation CoefficientSpearman’s Rank Correlation Coefficient
Spearman’s Rank Correlation Coefficient
 
Measures of relationship
Measures of relationshipMeasures of relationship
Measures of relationship
 
correlation_and_covariance
correlation_and_covariancecorrelation_and_covariance
correlation_and_covariance
 
Correlation Analysis
Correlation AnalysisCorrelation Analysis
Correlation Analysis
 
Correlation in Statistics
Correlation in StatisticsCorrelation in Statistics
Correlation in Statistics
 
Correlation and regression
Correlation and regressionCorrelation and regression
Correlation and regression
 
Measures of dispersion
Measures of dispersionMeasures of dispersion
Measures of dispersion
 
2.4 Scatterplots, correlation, and regression
2.4 Scatterplots, correlation, and regression2.4 Scatterplots, correlation, and regression
2.4 Scatterplots, correlation, and regression
 
Discrete and continuous probability distributions ppt @ bec doms
Discrete and continuous probability distributions ppt @ bec domsDiscrete and continuous probability distributions ppt @ bec doms
Discrete and continuous probability distributions ppt @ bec doms
 
Spearman Rank Correlation Presentation
Spearman Rank Correlation PresentationSpearman Rank Correlation Presentation
Spearman Rank Correlation Presentation
 
Mpc 006 - 02-03 partial and multiple correlation
Mpc 006 - 02-03 partial and multiple correlationMpc 006 - 02-03 partial and multiple correlation
Mpc 006 - 02-03 partial and multiple correlation
 

Similar to Statistics Formulas ppt

Measures of dispersion unitedworld school of business
Measures of dispersion   unitedworld school of businessMeasures of dispersion   unitedworld school of business
Measures of dispersion unitedworld school of business
Arnab Roy Chowdhury
 
Measures of dispersion - united world school of business
Measures of dispersion -  united world school of businessMeasures of dispersion -  united world school of business
Measures of dispersion - united world school of business
Unitedworld School Of Business
 
Dispersion uwsb
Dispersion   uwsbDispersion   uwsb
Dispersion uwsb
Arnab Roy Chowdhury
 
Dispersion
DispersionDispersion
Qam formulas
Qam formulasQam formulas
Qam formulas
Ashu Jain
 
Quantitative techniques for MBA (QDM)
Quantitative techniques for MBA (QDM)Quantitative techniques for MBA (QDM)
Quantitative techniques for MBA (QDM)
npazare
 
Correlation
CorrelationCorrelation
Correlation
harshika5
 
Correlation & regression (2)
Correlation & regression (2)Correlation & regression (2)
Correlation & regression (2)
Unitedworld School Of Business
 
Measures of variation and dispersion report
Measures of variation and dispersion reportMeasures of variation and dispersion report
Measures of variation and dispersion report
Angelo
 
Arithmetic mean
Arithmetic meanArithmetic mean
Arithmetic mean
mah123end456
 
Measures of central tendency
Measures of central tendencyMeasures of central tendency
Measures of central tendency
Raj Teotia
 
Correlation & regression uwsb
Correlation & regression   uwsbCorrelation & regression   uwsb
Correlation & regression uwsb
Arnab Roy Chowdhury
 
Correlation & regression uwsb (3)
Correlation & regression   uwsb (3)Correlation & regression   uwsb (3)
Correlation & regression uwsb (3)
Arnab Roy Chowdhury
 
Correlation & regression
Correlation & regression Correlation & regression
Correlation & regression
Unitedworld School Of Business
 
Standard deviation quartile deviation
Standard deviation  quartile deviationStandard deviation  quartile deviation
Standard deviation quartile deviation
Rekha Yadav
 
Mean, median, and mode ug
Mean, median, and mode ugMean, median, and mode ug
Mean, median, and mode ug
AbhishekDas15
 
Engineering Mathematics-IV_B.Tech_Semester-IV_Unit-II
Engineering Mathematics-IV_B.Tech_Semester-IV_Unit-IIEngineering Mathematics-IV_B.Tech_Semester-IV_Unit-II
Engineering Mathematics-IV_B.Tech_Semester-IV_Unit-II
Rai University
 
engineeringmathematics-iv_unit-ii
engineeringmathematics-iv_unit-iiengineeringmathematics-iv_unit-ii
engineeringmathematics-iv_unit-ii
Kundan Kumar
 
Digital Signal Processing
Digital Signal ProcessingDigital Signal Processing
Digital Signal Processing
aj ahmed
 
Business statestics formullas
Business statestics formullasBusiness statestics formullas
Business statestics formullas
ABHISHEK SHARMA
 

Similar to Statistics Formulas ppt (20)

Measures of dispersion unitedworld school of business
Measures of dispersion   unitedworld school of businessMeasures of dispersion   unitedworld school of business
Measures of dispersion unitedworld school of business
 
Measures of dispersion - united world school of business
Measures of dispersion -  united world school of businessMeasures of dispersion -  united world school of business
Measures of dispersion - united world school of business
 
Dispersion uwsb
Dispersion   uwsbDispersion   uwsb
Dispersion uwsb
 
Dispersion
DispersionDispersion
Dispersion
 
Qam formulas
Qam formulasQam formulas
Qam formulas
 
Quantitative techniques for MBA (QDM)
Quantitative techniques for MBA (QDM)Quantitative techniques for MBA (QDM)
Quantitative techniques for MBA (QDM)
 
Correlation
CorrelationCorrelation
Correlation
 
Correlation & regression (2)
Correlation & regression (2)Correlation & regression (2)
Correlation & regression (2)
 
Measures of variation and dispersion report
Measures of variation and dispersion reportMeasures of variation and dispersion report
Measures of variation and dispersion report
 
Arithmetic mean
Arithmetic meanArithmetic mean
Arithmetic mean
 
Measures of central tendency
Measures of central tendencyMeasures of central tendency
Measures of central tendency
 
Correlation & regression uwsb
Correlation & regression   uwsbCorrelation & regression   uwsb
Correlation & regression uwsb
 
Correlation & regression uwsb (3)
Correlation & regression   uwsb (3)Correlation & regression   uwsb (3)
Correlation & regression uwsb (3)
 
Correlation & regression
Correlation & regression Correlation & regression
Correlation & regression
 
Standard deviation quartile deviation
Standard deviation  quartile deviationStandard deviation  quartile deviation
Standard deviation quartile deviation
 
Mean, median, and mode ug
Mean, median, and mode ugMean, median, and mode ug
Mean, median, and mode ug
 
Engineering Mathematics-IV_B.Tech_Semester-IV_Unit-II
Engineering Mathematics-IV_B.Tech_Semester-IV_Unit-IIEngineering Mathematics-IV_B.Tech_Semester-IV_Unit-II
Engineering Mathematics-IV_B.Tech_Semester-IV_Unit-II
 
engineeringmathematics-iv_unit-ii
engineeringmathematics-iv_unit-iiengineeringmathematics-iv_unit-ii
engineeringmathematics-iv_unit-ii
 
Digital Signal Processing
Digital Signal ProcessingDigital Signal Processing
Digital Signal Processing
 
Business statestics formullas
Business statestics formullasBusiness statestics formullas
Business statestics formullas
 

Recently uploaded

South African Journal of Science: Writing with integrity workshop (2024)
South African Journal of Science: Writing with integrity workshop (2024)South African Journal of Science: Writing with integrity workshop (2024)
South African Journal of Science: Writing with integrity workshop (2024)
Academy of Science of South Africa
 
BÀI TẬP BỔ TRỢ TIẾNG ANH 8 CẢ NĂM - GLOBAL SUCCESS - NĂM HỌC 2023-2024 (CÓ FI...
BÀI TẬP BỔ TRỢ TIẾNG ANH 8 CẢ NĂM - GLOBAL SUCCESS - NĂM HỌC 2023-2024 (CÓ FI...BÀI TẬP BỔ TRỢ TIẾNG ANH 8 CẢ NĂM - GLOBAL SUCCESS - NĂM HỌC 2023-2024 (CÓ FI...
BÀI TẬP BỔ TRỢ TIẾNG ANH 8 CẢ NĂM - GLOBAL SUCCESS - NĂM HỌC 2023-2024 (CÓ FI...
Nguyen Thanh Tu Collection
 
LAND USE LAND COVER AND NDVI OF MIRZAPUR DISTRICT, UP
LAND USE LAND COVER AND NDVI OF MIRZAPUR DISTRICT, UPLAND USE LAND COVER AND NDVI OF MIRZAPUR DISTRICT, UP
LAND USE LAND COVER AND NDVI OF MIRZAPUR DISTRICT, UP
RAHUL
 
Pollock and Snow "DEIA in the Scholarly Landscape, Session One: Setting Expec...
Pollock and Snow "DEIA in the Scholarly Landscape, Session One: Setting Expec...Pollock and Snow "DEIA in the Scholarly Landscape, Session One: Setting Expec...
Pollock and Snow "DEIA in the Scholarly Landscape, Session One: Setting Expec...
National Information Standards Organization (NISO)
 
คำศัพท์ คำพื้นฐานการอ่าน ภาษาอังกฤษ ระดับชั้น ม.1
คำศัพท์ คำพื้นฐานการอ่าน ภาษาอังกฤษ ระดับชั้น ม.1คำศัพท์ คำพื้นฐานการอ่าน ภาษาอังกฤษ ระดับชั้น ม.1
คำศัพท์ คำพื้นฐานการอ่าน ภาษาอังกฤษ ระดับชั้น ม.1
สมใจ จันสุกสี
 
How to Build a Module in Odoo 17 Using the Scaffold Method
How to Build a Module in Odoo 17 Using the Scaffold MethodHow to Build a Module in Odoo 17 Using the Scaffold Method
How to Build a Module in Odoo 17 Using the Scaffold Method
Celine George
 
PIMS Job Advertisement 2024.pdf Islamabad
PIMS Job Advertisement 2024.pdf IslamabadPIMS Job Advertisement 2024.pdf Islamabad
PIMS Job Advertisement 2024.pdf Islamabad
AyyanKhan40
 
Hindi varnamala | hindi alphabet PPT.pdf
Hindi varnamala | hindi alphabet PPT.pdfHindi varnamala | hindi alphabet PPT.pdf
Hindi varnamala | hindi alphabet PPT.pdf
Dr. Mulla Adam Ali
 
Chapter 4 - Islamic Financial Institutions in Malaysia.pptx
Chapter 4 - Islamic Financial Institutions in Malaysia.pptxChapter 4 - Islamic Financial Institutions in Malaysia.pptx
Chapter 4 - Islamic Financial Institutions in Malaysia.pptx
Mohd Adib Abd Muin, Senior Lecturer at Universiti Utara Malaysia
 
PCOS corelations and management through Ayurveda.
PCOS corelations and management through Ayurveda.PCOS corelations and management through Ayurveda.
PCOS corelations and management through Ayurveda.
Dr. Shivangi Singh Parihar
 
The basics of sentences session 6pptx.pptx
The basics of sentences session 6pptx.pptxThe basics of sentences session 6pptx.pptx
The basics of sentences session 6pptx.pptx
heathfieldcps1
 
NEWSPAPERS - QUESTION 1 - REVISION POWERPOINT.pptx
NEWSPAPERS - QUESTION 1 - REVISION POWERPOINT.pptxNEWSPAPERS - QUESTION 1 - REVISION POWERPOINT.pptx
NEWSPAPERS - QUESTION 1 - REVISION POWERPOINT.pptx
iammrhaywood
 
Cognitive Development Adolescence Psychology
Cognitive Development Adolescence PsychologyCognitive Development Adolescence Psychology
Cognitive Development Adolescence Psychology
paigestewart1632
 
The History of Stoke Newington Street Names
The History of Stoke Newington Street NamesThe History of Stoke Newington Street Names
The History of Stoke Newington Street Names
History of Stoke Newington
 
clinical examination of hip joint (1).pdf
clinical examination of hip joint (1).pdfclinical examination of hip joint (1).pdf
clinical examination of hip joint (1).pdf
Priyankaranawat4
 
C1 Rubenstein AP HuG xxxxxxxxxxxxxx.pptx
C1 Rubenstein AP HuG xxxxxxxxxxxxxx.pptxC1 Rubenstein AP HuG xxxxxxxxxxxxxx.pptx
C1 Rubenstein AP HuG xxxxxxxxxxxxxx.pptx
mulvey2
 
Film vocab for eal 3 students: Australia the movie
Film vocab for eal 3 students: Australia the movieFilm vocab for eal 3 students: Australia the movie
Film vocab for eal 3 students: Australia the movie
Nicholas Montgomery
 
Pengantar Penggunaan Flutter - Dart programming language1.pptx
Pengantar Penggunaan Flutter - Dart programming language1.pptxPengantar Penggunaan Flutter - Dart programming language1.pptx
Pengantar Penggunaan Flutter - Dart programming language1.pptx
Fajar Baskoro
 
Life upper-Intermediate B2 Workbook for student
Life upper-Intermediate B2 Workbook for studentLife upper-Intermediate B2 Workbook for student
Life upper-Intermediate B2 Workbook for student
NgcHiNguyn25
 
MARY JANE WILSON, A “BOA MÃE” .
MARY JANE WILSON, A “BOA MÃE”           .MARY JANE WILSON, A “BOA MÃE”           .
MARY JANE WILSON, A “BOA MÃE” .
Colégio Santa Teresinha
 

Recently uploaded (20)

South African Journal of Science: Writing with integrity workshop (2024)
South African Journal of Science: Writing with integrity workshop (2024)South African Journal of Science: Writing with integrity workshop (2024)
South African Journal of Science: Writing with integrity workshop (2024)
 
BÀI TẬP BỔ TRỢ TIẾNG ANH 8 CẢ NĂM - GLOBAL SUCCESS - NĂM HỌC 2023-2024 (CÓ FI...
BÀI TẬP BỔ TRỢ TIẾNG ANH 8 CẢ NĂM - GLOBAL SUCCESS - NĂM HỌC 2023-2024 (CÓ FI...BÀI TẬP BỔ TRỢ TIẾNG ANH 8 CẢ NĂM - GLOBAL SUCCESS - NĂM HỌC 2023-2024 (CÓ FI...
BÀI TẬP BỔ TRỢ TIẾNG ANH 8 CẢ NĂM - GLOBAL SUCCESS - NĂM HỌC 2023-2024 (CÓ FI...
 
LAND USE LAND COVER AND NDVI OF MIRZAPUR DISTRICT, UP
LAND USE LAND COVER AND NDVI OF MIRZAPUR DISTRICT, UPLAND USE LAND COVER AND NDVI OF MIRZAPUR DISTRICT, UP
LAND USE LAND COVER AND NDVI OF MIRZAPUR DISTRICT, UP
 
Pollock and Snow "DEIA in the Scholarly Landscape, Session One: Setting Expec...
Pollock and Snow "DEIA in the Scholarly Landscape, Session One: Setting Expec...Pollock and Snow "DEIA in the Scholarly Landscape, Session One: Setting Expec...
Pollock and Snow "DEIA in the Scholarly Landscape, Session One: Setting Expec...
 
คำศัพท์ คำพื้นฐานการอ่าน ภาษาอังกฤษ ระดับชั้น ม.1
คำศัพท์ คำพื้นฐานการอ่าน ภาษาอังกฤษ ระดับชั้น ม.1คำศัพท์ คำพื้นฐานการอ่าน ภาษาอังกฤษ ระดับชั้น ม.1
คำศัพท์ คำพื้นฐานการอ่าน ภาษาอังกฤษ ระดับชั้น ม.1
 
How to Build a Module in Odoo 17 Using the Scaffold Method
How to Build a Module in Odoo 17 Using the Scaffold MethodHow to Build a Module in Odoo 17 Using the Scaffold Method
How to Build a Module in Odoo 17 Using the Scaffold Method
 
PIMS Job Advertisement 2024.pdf Islamabad
PIMS Job Advertisement 2024.pdf IslamabadPIMS Job Advertisement 2024.pdf Islamabad
PIMS Job Advertisement 2024.pdf Islamabad
 
Hindi varnamala | hindi alphabet PPT.pdf
Hindi varnamala | hindi alphabet PPT.pdfHindi varnamala | hindi alphabet PPT.pdf
Hindi varnamala | hindi alphabet PPT.pdf
 
Chapter 4 - Islamic Financial Institutions in Malaysia.pptx
Chapter 4 - Islamic Financial Institutions in Malaysia.pptxChapter 4 - Islamic Financial Institutions in Malaysia.pptx
Chapter 4 - Islamic Financial Institutions in Malaysia.pptx
 
PCOS corelations and management through Ayurveda.
PCOS corelations and management through Ayurveda.PCOS corelations and management through Ayurveda.
PCOS corelations and management through Ayurveda.
 
The basics of sentences session 6pptx.pptx
The basics of sentences session 6pptx.pptxThe basics of sentences session 6pptx.pptx
The basics of sentences session 6pptx.pptx
 
NEWSPAPERS - QUESTION 1 - REVISION POWERPOINT.pptx
NEWSPAPERS - QUESTION 1 - REVISION POWERPOINT.pptxNEWSPAPERS - QUESTION 1 - REVISION POWERPOINT.pptx
NEWSPAPERS - QUESTION 1 - REVISION POWERPOINT.pptx
 
Cognitive Development Adolescence Psychology
Cognitive Development Adolescence PsychologyCognitive Development Adolescence Psychology
Cognitive Development Adolescence Psychology
 
The History of Stoke Newington Street Names
The History of Stoke Newington Street NamesThe History of Stoke Newington Street Names
The History of Stoke Newington Street Names
 
clinical examination of hip joint (1).pdf
clinical examination of hip joint (1).pdfclinical examination of hip joint (1).pdf
clinical examination of hip joint (1).pdf
 
C1 Rubenstein AP HuG xxxxxxxxxxxxxx.pptx
C1 Rubenstein AP HuG xxxxxxxxxxxxxx.pptxC1 Rubenstein AP HuG xxxxxxxxxxxxxx.pptx
C1 Rubenstein AP HuG xxxxxxxxxxxxxx.pptx
 
Film vocab for eal 3 students: Australia the movie
Film vocab for eal 3 students: Australia the movieFilm vocab for eal 3 students: Australia the movie
Film vocab for eal 3 students: Australia the movie
 
Pengantar Penggunaan Flutter - Dart programming language1.pptx
Pengantar Penggunaan Flutter - Dart programming language1.pptxPengantar Penggunaan Flutter - Dart programming language1.pptx
Pengantar Penggunaan Flutter - Dart programming language1.pptx
 
Life upper-Intermediate B2 Workbook for student
Life upper-Intermediate B2 Workbook for studentLife upper-Intermediate B2 Workbook for student
Life upper-Intermediate B2 Workbook for student
 
MARY JANE WILSON, A “BOA MÃE” .
MARY JANE WILSON, A “BOA MÃE”           .MARY JANE WILSON, A “BOA MÃE”           .
MARY JANE WILSON, A “BOA MÃE” .
 

Statistics Formulas ppt

  • 1. Submitted By :- Harjeet Singh MBA – I Semester Baddi University Emerging Technology & Science
  • 2. Formula Individual Series Discrete Series Continuous Series Direct _ ∑X X = ----- N _ ∑fX X = ----- N _ ∑fm X = ------ N Short cut _ ∑d X = A + ----- N _ ∑fd X = A + ----- N _ ∑fd X = A + ----- N Step Deviation _ ∑fd X = A + ----- * i N _ (d= X - X) _ ∑fd X = A + ----- * i N _ (d= X - X)
  • 3. Correcting Incorrect Mean Average Mean  Correct ∑X = Incorrect ∑X – Wrong Item + Correct Item _ Correct ∑X  Correct X = -------- -------- N  Combined Average Mean:- _ _ _ N1 X1 + N2 X2 X = -------------- --- N1 + N2  Weighted Average Mean:- _ ∑WX X = -------- ∑W
  • 4. Individual Series Discrete Series Continuous Series N+1 Size of --------- th item 2 N+1 Size of --------- th item 2 { N/2 – Cf} L1 + ------------ * i f (Size of N/2 th item)
  • 5. Individual & Discrete Series Continuous series N + 1  Q1 = Size of -------- th item 4 3(N + 1)  Q3 =Size of ----------- th item 4 Q3 - Q1  QD = ---------- 2 N  Q1 = Size of ---- th item 4 3(N)  Q3 = Size of ------- th item 4  QD = { N/4 – Cf} L1 + ------------ * i f Q3 - Q1  QD Coeff. = ----------- Q3 + Q1
  • 6.  Individual series :- 60(N + 1) P60 = Size of ------------ th item 100  Continuous Series :- 50(N) P50 = Size of --------- th item 100  P = { N/100 – Cf} L1 + ------------ * i f
  • 7. f1 – f0  Z = L1 + ------------ * i 2f1 – f0 – f2 Z = 3*median – 2*mean
  • 8. 1) Range :- L – S L – S Coeff. :- --------- L + S 2) Quartile Deviation :-  Individual & Discrete Series :- Q3 - Q1 / 2  Continues series :- Q3 - Q1 / 2 Q3 - Q1  Coeff. = ----------- Q3 + Q1
  • 9. 3) Mean Deviation :- ∑|d|  Individual Series = -------- N ∑f|d|  Discrete & Continues Series = --------- N Mean Deviation  Coeff. = ----------------------- Median
  • 10. 4) Standard Deviation :-  Individual Series:- _______  Actual Mean (σ) = ⎷ ∑x2 / N ________________  Assumed Mean (σ) = ⎷ ∑d2 /N - (∑d / N) 2  Discrete Series:- ________  Actual Mean (σ) = ⎷ ∑fx2 / N _______________  Assumed Mean (σ) = ⎷ ∑fd 2 /N - (∑fd / N) 2 ________________  Continues Series (σ) = ⎷ ∑fd2 /N - (∑fd / N) 2 * i
  • 11. _ _ _ N1 X1 + N2 X2 5) Combined Mean X12 = ------------------ N1 + N2 6) Combined Standard Deviation :- ________________________________________ | N1 σ1 2 + N2 σ2 2 + N3 σ3 2 + N1 d1 2 + N2 d2 2 + N3 d3 2 (σ) =⎷ ------------------------------------------------------------- ---- N1 + N2 + N3 _ _ _ _ d1 = |X1 - X123| d2 = |X2 - X123| _ _ d3 = |X3 - X123| _ Coefficient of Variance = σ / X * 100
  • 12. 1) Karl Pearson's Skewness :- SKP = Mean – Mode / Standard Deviation 2) Bowley’s Skewness :- SKB = Q3 + Q1 – 2 Median / Q3 - Q1 3) Kelly’s Skewness :- SKK = P10 + P90 – 2 Median / P90 - P10
  • 13. 1) Laspayer’s Method P01 = ∑p1 q0 / ∑p0 q0 * 100 2) Paasch’s Method P01 = ∑p1 q1 / ∑p0 q1 * 100 3) Bowley’s Method = Laspayer’s + Paasch’s / 2 ___________________ 4) Fisher’s Method = ⎷ Laspayer’s * Paasch’s 5) Marshal Method = ∑p1 q0 + ∑p1 q1 / ∑p0 q0 + ∑p0 q1 * 100 6) Kelly ‘s Method = p1q / p1 q *100
  • 14.  Time reversal Test :- P01 * P10 = 1  Factor Reversal Test:- p01 * q01 = ∑p1 q1 / ∑p0 q0  Weighted Average Relative Method:- P01 = ∑pv / ∑v = ∑p1 / ∑p0 * 100 (P = Price Relative )
  • 15.  Actual Mean :- ∑ xy ∑xy r = --------- or ------------ N σx σy ⎷ ∑ x2 * ∑ y2  Assumed Mean :- N ∑dx dy - ∑dx * ∑dy r = --------------------------------- ⎷ N ∑dx2 - (∑dx)2 * ⎷ N ∑dy2 - (∑dy)2
  • 16. 1) Regression Equation of (X on Y) :- _ σy _ (X – X) = r ------ (Y - Y) σx σx N ∑dx dy - ∑dx * ∑dy r------ = ------------------ σy ⎷ N ∑dy2 - (∑dy)2
  • 17. 2) Regression Equation of (Y on X) :- _ σy _ (Y – Y) = r ------ (X - X) σx σy N ∑dx dy - ∑dx * ∑dy r------ = -------------------- σx ⎷ N ∑dx2 - (∑dx)2 _ ∑x _ ∑y X = ------ ; Y = ------ N N
  • 18.  Regression Coefficient :- r = ⎷bxy * byx  Time Series:- Yc = a + bx a = ∑y / n b = ∑xy / ∑x2