TBSE Class 12 Syllabus 2023 Statistics

Syllabus : 2022-23 : Class XII : Statistics : Marks 70 1. Correlation & Regression : Bivariate data, Scatter diagram ; Correlation & correlation coefficient ; Properties of Correlation coefficient; Rank correlation; Spearman’s Rank Correlation Co-efficient. Concept of Regression, Principle of Least Squares, Fitting of Regression lines, Important results relating to Regression lines. 2. Probability & Probability Distribution – I : Random experiment, trial, sample space, sample point and different types of events. Definition of Probability : Classical, Statistical and axiomatic; theorems on Probability of union of two & three events; Conditional Probability – theorem on Conditional Probability for two & three events. Independence of Events; Bayes theorem and its applications. 3. Random variable (Discrete and Continuous) and its Probability distribution. Cumulative distribution function; probability mass function and Probability density function; mathematical expectation. 4. Mathematics : Standard definition of Gamma integral and results involving it (without derivation). 5. Probability Distribution- II : Uniform (Discrete and Continuous), Bernoulli, Binomial, Poison and Normal distributions. 6. Sampling, Estimation and testing of Hypothesis : Population and sample; parameter and statistics, Census and Sample survey; Concepts of Probability sampling and Random number tables. Concepts of Sampling distribution of statistic and its standard error; Simple Random Sampling with replacement and Simple Random Sampling without replacement (SRSWR). Concept of point estimation : Requirement of Good Estimators- unbiasedness, Consistency, Efficiency. Elementary Concept of MVUE and BLUE Statistical test of Hypothesis – Null and Alternative Hypothesis. Simple and Composite hypothesis, critical region; Type I and Type II Errors; Level of Significance and Size of Critical region; Power of a test. Tests of significance related to a Single Bionomial Proportion; Two Bionomial proportions using large sample approximations; Enact test of hypothesis under normal set up for a single mean and Equality of two means. Frequency Chi-Square test and Good of it. Class XII : Statistics : Pre-Board/ Board Final : 2022-23 : Marks 70 Blue Print of Distribution of Marks Topics MCQ (1) VSA (1) SA I (2) SA II (3) LA I (4) LA II (5) Total Marks 1.Mathematics - - - - - 5x1 5 2.Correlation & 1x3 1x6 2x2 3x1 4x1 - 20 Regression 3.Probability & its 1x2 1x4 2x1 3x1 - 5x1 16 Distribution- I 4.Probability 1x2 1x4 2x1 3x1 4x1 - 15 Distribution II 5.Sampling, 1x3 1x6 2x1 3x1 - - 14 Estimation, Testing of Hypothesis Total Marks 10(10) 20(20) 10(5) 12(4) 8(2) 10(2) 70(43) (Questions)