Frequently Used Statistics Formulas and Tables PDF

BYJUS

The basic maths class 10 formulas are almost the same for all the boards. Statistics Formulas for Class 10. 2. 2. 2. 2. 2. 2. 2. 2. 2. 2. 2. Page 6. Maths ...

STATISTICS

Formula (10) is same as σ = 1. N. ( )2. 2. N. i i. i i. f x. f x. −. (11). (g) Another formula for standard deviation : σ x = N h. ( )2. 2. N. i i. i i. f y.

STATISTICS

You have studied about data and data handling in earlier classes. Our world is becoming more and more information oriented. Every part of our lives utilises

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03-May-2018 In calculating the mean of grouped data grouped in classes of equal width

Frequently Used Statistics Formulas and Tables

Class Width = (increase to next integer) number classes upper limit + lower all groups. 2. 2 all groups number of groups; total sample size.

jemh113.pdf

where l = lower limit of the modal class h = size of the class interval (assuming all class sizes to be equal)

Business Statistics.pdf

Activity. • Collect data on marks scored by. 10 of your classmates in class IX and X examinations. Use all the formulae discussed here to calculate r between.

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Out of all this chapter has been an integral part of maths syllabus since Chapter 14: Statistics. Important maths formulas for class 10th of this chapter ...

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To complete the polygon we assume that there is a class interval with frequency zero. Rationalised 2023-24. Page 9. STATISTICS. 159 before 30.5 - 35.5

Maths Formulas for Class 10 PDF

polynomials quadratic equations

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.

jemh114.pdf

Now the sum of the values of all the observations = f STATISTICS. 2022-23 ... With reference to Table 14.2

Leverage Edu

Maths Formulas for Class 10. Chapter 1: Real Numbers. The first chapter of class 10th mathematics will equip you with a variety of concepts related to.

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In this chapter we shall briefly discuss all these aspects regarding data. called the class-size or class width

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CBSE Class 10 Math's Summary. This pdf list all the Class 10 CBSE math's formula in a concise manner to help the students in revision and examination as.

RS Aggarwal Solutions for Class 10 Maths Chapter 18- Mean

Median class = 45-60. So l = 45

STATISTICS

In this case. Chapter 15. STATISTICS. 18/04/18 (10) where x i are the midpoints of the classes and f ... (g) Another formula for standard deviation :.

DECUCTED PORTION MATHEMATICS Code - 041 CLASS IX

every point on the number line represents a unique real number. Definition of nth root of a real number. UNIT II-ALGEBRA. POLYNOMIALS. Motivate and State

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 rpnquotesdbs_dbs2.pdfusesText_2

[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