|
Elementary theory of index numbers, steps in the construction of price index
numbers and their uses. Construction of index numbers- Laspeyre’s Paasche’s and
Fisher's ideal index numbers. Time reversal test and factor reversal test for
the consistency of an index number, chain index number. Cost of living index
number.
5.
|
Time Series
|
5Marks |
8 Periods |
Time series and its components, Measurement of trend by moving average
method.
6.
|
Vital Statistics
|
15 Marks |
27 Periods |
Meaning of Vital Statistics, Measurement of mortality rates-CDR, SPDR, STDRand
CBR ; Measurement of fertility and reproduction rates ; Construction of complete
life-table.
Books Recommended
- College Algebra by Das and Mukherjee.
- Elementary Statistics by H.C. Saxena, (S. Chand &Co)
- Differential Calculus by Das and Mukherjee.
STATISTICS
Class XII
|
One Paper |
3 Hours |
100 Marks |
Units
1.
|
Probability and Expectations
|
25 Marks |
35 Periods |
Event-Simple and compound ; sample space, Mathematical, Statistical and set
theoretic definitions of probability ; Additive and Multiplicative laws of
probability ; Random variables, Expectation of discrete random variable;
Theorems on expectations of sun, and product of random variables.
2.
|
Calculus of Finite Differences
|
15 Marks |
20Periods |
Delta ( ∆ ) and E operators and their properties ; construction of difference
tables, Newton's forward and backward interpolation formulae, Lagrange's
interpolation formula.
3.
|
Numerical Integration
|
10 Marks |
10 Periods |
Derivation of General quadrature formula, Trapezoidal rule, Simpson's 1/3rd
and 3/8th rules.
4.
|
Method of Least Squares and Curve Fitting
|
5 Marks |
10 Periods |
Methods of least squares, Fitting of straight lines and exponential curves by
the method of least squares.
5.
|
Correlation and Regression (Bivariate only)
|
15 Marks |
30 Periods |
Scatter diagram, Lines of regression ; Correlation
co-efficient, Invariant property and Limits of correlation coefficient,
Regression co-efficient, Relation between regression coefficients and
correlation co-efficient Angle between the lines of regression.
6.
|
Standard Distributions
|
10 Marks |
10 Periods |
Binomial distribution and Poisson distribution ( with derivation) ; Normal
distribution (without derivation).
7.
|
Test of Significance
|
10 Marks |
10 Periods |
Level of significance and concept of degrees of freedom; Test of significance
for small samples based on t, X 2 and F.
8.
|
Sample Survey
|
10 Marks |
15 Periods |
Random numbers' table ; Drawing of samples using random numbers table; Simple
random sampling.
Books Recommended
- Elementary Statistics by H.C. Saxena, (S. Chand & Co.)
- Calculus of Finite Difference by H.C. Saxena.
- Fundamentals of Statistics ( Vol. 1 & 11 ) by Goon, Gupta and Das Gupta.
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