രണ്ടാം വര്ഷ ഹയര് സെക്കണ്ടറി ക്ലാസ്സിലെ പുതുക്കിയ സിലബസ് കാണുക. അധ്യാപകര്ക്കും കുട്ടികള്ക്കും വളരെ സഹായകരമാണ്.കൂടുതൽ വിവരങ്ങൾ തുടര്ന്നും പ്രതീക്ഷിക്കുക
STATISTICS – CLASS XII
Syllabus
1. Correlation Analysis
1.1.
Meaning of Correlation
1.2.
Types of Correlation - Positive, Negative, Zero
1.3.
Methods of studying Correlation – Scatter
diagram, coefficient of correlation.
1.3.1 Scatter
diagram
1.3.2 Coefficient
of Correlation:
Karl
Pearson’s coefficient of correlation,
Spearman’s
Rank correlation
2. Regression Analysis
2.1.
Concept of Regression.
2.2.
Regression Lines.
2.2.1.
Principle of Least Squares.
2.2.2.
Equation of Regression Lines.
2.2.3.
Properties of regression coefficients.
2.2.4.
Identification of Regression Lines.
2.3.
Relation between
Correlation and Regression.
3. Elementary Calculus
3.1.
Differentiation
3.1.1.
Concept and Meaning.
3.1.2.
Derivatives of Polynomial functions.
3.1.3.
Successive Differentiation.
3.1.4.
Increasing and decreasing functions- turning
points.
3.1.5.
Maxima and Minima
3.2.
Integration
3.2.1.
Concept and Meaning
3.2.2.
Integrals of Polynomial Functions
3.2.3.
Definite integrals
4. Random Variables
4.1.
Random Variables- Discrete and Continuous
4.2.
Discrete Random Variables
4.2.1. Probability
mass function (pmf)
4.2.2. Cumulative
Distribution Function (cdf)
4.2.3. Mathematical
Expectation , Mean and Variance
4.3.
Continuous Random Variables
4.3.1. Probability
density function (pdf)
4.3.2. Cumulative
Distribution Function (cdf)
4.3.3. Mathematical
Expectation , Mean and Variance
5. Discrete Probability Distributions
5.1.
Binomial Distribution
5.1.1.
Bernoulli trial
5.1.2.
Probability Mass Function
5.1.3.
Mean and Variance
5.1.4.
Problems on Binomial Distribution
5.2.
Poisson Distribution
5.2.1.
Probability
Mass Function
5.2.2.
Mean
and Variance
5.2.3. Poisson
Distribution – An approximation of
Binomial Distribution
5.2.4. Problems
on Poisson Distribution
6. Continuous Probability Distributions
6.1.
Normal Distribution
6.1.1.
Normal Probability Density function
6.1.2.
Mean and Variance
6.1.3.
Normal curve and its properties.
6.2.
Standard Normal Distribution
6.2.1.
Z – transformation and Z – score
6.2.2.
Standard Normal Tables
6.3.
Problems on Normal Distributions.
7. Sampling
Distributions
7.1.
Parameter and Statistic
7.2.
Sampling Distribution and Standard Error
7.3.
Probability Distribution of Sample Mean
7.4.
Central Limit Theorem (statement only)
7.5.
Chi-Square , Student’s t and Snedecor’s F statistics
7.5.1.
Definition
7.5.2.
Properties
7.5.3.
Relationship
7.5.4.
Statistical tables
8
Estimation
of parameters.
8.1
Statistical inference
8.2
Estimation of Parameters
8.2.1 Point
Estimation
8.2.2 Properties of a Good Estimator
Unbiasedness,
Consistency, Sufficiency and Efficiency
8.2.3 Method
of Moments
8.2.4 Interval
Estimation
8.2.5 Interval
Estimation of Sample Mean
9
Testing
of Hypothesis
9.1 Statistical
Hypothesis
9.2 Test
statistic and Critical Region
9.3 Type
I and Type II Errors
9.4 Level
of Significance and Power of Test
9.5 Test
for significance of Single Mean (small sample & large sample)
9.6 Test
for significance for equality of two Means (large sample)
9.7 Chi-square
test for independence of attributes
10 Analysis of Variance
10.1
Causes of variations
10.2
Assumptions underlying ANOVA
10.3
One way ANOVA
11 Statistical Quality Control
11.1
Meaning of Quality
11.2
Causes of variations
11.3
Variable Control Charts (
11.4
Attribute Control Charts (D chart)
12 Time Series Analysis
12.1
Components of Time series
12.2
Trend analysis
12.2.1
Free- hand curve method
12.2.2
Method of semi averages
12.2.3
Method of moving averages
12.2.4
Method of least squares
13 Index Numbers
13.1
Classification of Index number- Price
Relative, Price index number, Quantity index number
13.2
Types of Index numbers- Simple Index
Number(Simple AM, Simple GM, Simple HM, Simple Aggregate Method),Weighted Index
number ( Laspayre’s, Paasche’s , Fisher’s and weighted aggregate Index Numbers)
13.3
Consumer Price Index (Cost of Living
Index) Number
13.4
Characteristics of Index numbers
13.5
Uses of Index Numbers.
