Frequently Used Statistics Formulas and Tables PDF

Business Statistics.pdf

per month and there are 80 students in class XI & 8 students in Class XII are Statistics. Use all the formulae discussed here to calculate r between. India's ...

Measures of Central Tendency

Calculate Arithmetic Mean from the data showing marks of students in a class in an economics test: 40 50

SYLLABI & COURSES Class XI

Meaning: Scope and importance of statistics in Economics? Unit 2: Collection Need for complex numbers especially to be motivated by inability to solve every.

DEHRADUN PUBLIC SCHOOL ASSIGNMENT (2022-23) SUBJECT

STATISTICS FOR ECONOMICS. CHAPTER:- 1 (INTRODUCTION). Answer the following questions. Q1. Scarcity of resources applies to all: a. Individuals.

CHAPTER- VIII- Index Number Ch.8 (Ver-12).pmd

STATISTICS FOR ECONOMICS. This index is now being prepared with base 2012 There are several formulae for working out an index number and every formula needs ...

Business Statistics Unit 4 Correlation and Regression.pdf

If the two variables under study are X and Y the following formula suggested by Karl Pearson can be used for measuring the degree of relationship of

Syllabus for B.A. (Hons.) Economics

Course Structure for B.A. (Hons.) Economics: There are a total of fourteen economics core courses that students are required to take across six semesters. All

Statistics for business and economics- Anderson

all trades take place in just six of the 22 European exchanges. TABLE 1.4 ... class size data in Table 3.4. The z-score of 1.50 shows the fifth class size is ...

Applied Mathematics (XI-XII) (Code-241) Session- 2022-23

a) To develop an understanding of basic mathematical and statistical tools and their applications in the field of commerce (business/ finance/economics) and

Measures of Central Tendency

The value of Q1 and Q3 of an ordered series can be obtained by the following. 2022-23. Page 11. 68. STATISTICS FOR ECONOMICS formula where N is the number of.

Frequently Used Statistics Formulas and Tables

Frequently Used Statistics Formulas and Tables. Chapter 2 highest value - lowest value. Class Width = (increase to next integer) number classes.

CHAPTER-VI Measures of Dispersion Ch.-6 (Ver-12).pmd

STATISTICS FOR ECONOMICS value; i.e. 30th value

Measures of Central Tendency

The value of Q1 and Q3 of an ordered series can be obtained by the following. 2022-23. Page 11. 68. STATISTICS FOR ECONOMICS formula where N is the number of.

CHAPTER- VIII- Index Number Ch.8 (Ver-12).pmd

STATISTICS FOR ECONOMICS earns Rs 12000. changes were the same for all four ... Laspeyre's formula: IIP q W. W. i i i n i i n. 01. 11.

KENDRIYA VIDYALAYA SANGATHAN AHMEDABAD REGION

Meaning scope

Class Notes

Class: XI. Topic: CHAPTER: MEASURES OF DISPERSION. Basic concepts: MEANING AND TYPES OF DISPERSION. STANDARD DEVIATIION. Subject: ECONOMICS: STATISTICS FOR.

Correlation Ch.-7 (Ver 8).pmd

STATISTICS FOR ECONOMICS If all the points lie on a line the ... 11. 10. 1. 1.00. 12. 5.5. 6.5. 42.25. 198.00. The formula of Spearman's rank.

Radha bahuguna economics class 11 pdf

Description Book Price NCERT Solutions-Economics for Class 11 by Anubhuti by Disha Experts The book contains all the important formulas definitions

Organisation of Data Ch.-3 (Ver-5).pmd

classes;. • be familiar with the method of tally marking; instance all you need to do is to search ... STATISTICS FOR ECONOMICS.

Frequently Used Statistics Formulas and Tables

Chapter 2

highest value - lowest valueClass Width = (increase to next integer)number classes upper limit + lower limit

Class Midpoint = 2

Chapter 3

sample size population size frequencyn N f sum w weight

Sample mean:

Population mean:

Weighted mean:

Mean for frequency table:

highest value + lowest value

Midrange2x

xn x N wxxw fx xf 2 2 2 2

Range = Highest value - Lowest value

Sample standard deviation: 1

Population standard deviation:

Sample variance:

Population variance: xx

s n x N s

Chapter 3 Limits for Unusual Data

Below : - 2

Above: 2

Empirical Rule

About 68%: - to

About 95%: -2 to 2

About 99.7%: -3 to 3

22Sample coefficient of variation: 100%

Population coefficient of variation: 100%

Sample standard deviation for frequency

table: ( 1)s CVx CV n fx fx snn

Sample z-score:

Population z-score: xx

zs x z 31
1 3

Interquartile Range: (IQR)

Modified Box Plot Outliers

lower limit: Q - 1.5 (IQR) upper limit: Q + 1.5 (IQR)QQ 2

Chapter 4

Probability of the complement of event ( ) = 1 - ( )

Multiplication rule for independent even

General multiplication rules

( ) ( ) ( , ) A

P not A P A

P A and B P A P B

P A and B P A P B given A

Addition rule for mutually exclusive events ( ) ( ) + ( )

General addition rule

( ) ( ) + ( ) ( )P A and B P A P A given BPAorB PA PBP A or B P A P B P A and B !Permutation rule: ( )! nr nPnr !Combination rule: !( )! nr nCrnr

Permutation and Combination on TI 83/84

n Math PRB nPr enter r n Math PRB nCr enter r

Note: textbooks and formula

sheets interchange "r" and "x" for number of successes

Chapter 5 Discrete Probability Distributions:

Mean of a discrete probability distribution:

Standard deviation of a probability distribution: [ ( )]x Px x Px

Binomial Distributions

number of successes (or x) probability of success = probability of failure

1 = 1

Binomial probability distribution

Mean:

Standard deviation:

r nr nr r p q q p pq

Pr Cpq

np npq

Poisson Distributions

2 number of successes (or ) = mean number of successes (over a given interval)

Poisson probability distribution

2.71828

(over some interval) r rx e Prr e mean 3

Chapter 6 Normal Distributions

Raw score:

Standard score: xz

x z

Mean of distribution:

Standard deviation of distribtuion:

(standard error)

Standard score for :

x x x x n x xzn

Chapter

One Sample

Confidence Interval

/2 for proportions ( ): ( 5 and 5) (1 ) where p np nq pE p pE ppEzn rpn /2 /2 for means ( ) when is known: where for means ( ) when is unknown: where with . . 1xE xE Ezn xE xE sEtn df n

Chapter 7 Confidence Interval: Point estimate ± error

Point esti

mate =

Upper limit + Lower limit

Error = Upper limit - Lower limit

2 2 /2 2 /2 2 /2 means: proportions: with preliminary estimate for

0.25 without preliminary estimate for z

nE z n pqpE z npE

Sample Size for Estimating

vquotesdbs_dbs4.pdfusesText_7

[PDF] Frequently Used Statistics Formulas and Tables

Frequently Used Statistics Formulas and Tables

Chapter 2

Class Midpoint = 2

Chapter 3

Sample mean:

Population mean:

Weighted mean:

Mean for frequency table:

Midrange2x

Range = Highest value - Lowest value

Sample standard deviation: 1

Population standard deviation:

Sample variance:

Population variance: xx

Chapter 3

Limits for Unusual Data

Below : - 2

Above: 2

Empirical Rule

About 68%: - to

About 95%: -2 to 2

About 99.7%: -3 to 3

22Sample coefficient of variation: 100%

Population coefficient of variation: 100%

Sample standard deviation for frequency

Sample z-score:

Population z-score: xx

Interquartile Range: (IQR)

Modified Box Plot Outliers

Chapter 4

Multiplication rule for independent even

General multiplication rules

P not A P A

P A and B P A P B

P A and B P A P B given A

General addition rule

Permutation and Combination on TI 83/84

Note: textbooks and formula

Chapter 5

Discrete Probability Distributions:

Mean of a discrete probability distribution:

Binomial Distributions

1 = 1

Binomial probability distribution

Standard deviation:

Pr Cpq

Poisson Distributions

Poisson probability distribution

2.71828

Chapter 6

Normal Distributions

Raw score:

Standard score: xz

Mean of distribution:

Standard deviation of distribtuion:

Standard score for :

Chapter

One Sample

Confidence Interval

Chapter 7

Confidence Interval: Point estimate ± error

Point esti

Upper limit + Lower limit

Error = Upper limit - Lower limit

0.25 without preliminary estimate for z

Sample Size for Estimating