TBSE Class 12 Syllabus 2025 Statistics

SYLLABUS – 2024- 2025
CLASS – XII
SUBJECT – STATISTICS
Total Marks – 70 Practical - 30

HALF-YEARLY EXAMINATION: 2024-2025

Mathematics :
Limit, Continuity, Differentiation, Integration (only Numerical), Standard definition of Gamma
integral 4 results involving it (without derivation).

Correlation & Regression :
Bivariate Data, Scatter diagram, Correlation & Correlation coefficient, Properties of
correlation coefficient, Rank correlation, spearmani & Rank Correlation coefficient (without tie).
Concept of Regression, Principle of least & squares, Fitting of Regression lines, Important

Probability & Probability Distribution –I
Random experiment, Trial, Sample space, Sample point and different types of events,
Definition of Probability : Classical, Statistical, and Axiomatic, Theorem on the probability of union of
time or three events. Conditional Probability, Theorem on Conditional Probability for two or three
events, Independent events, Bayes’ theorem and its application. Random variable (diserate &
continuous) and its probability distribution, cumulative distribution function. Probability mass
function & Probability density function, Mathematical expectation. Addition and Multiplication rule
of mathematical expectation. Problems related to probability distribution and Mathematical
expectation.
HALF-YEARLY EXAMINATION: 2024-2025
Topic 1 Mark 2 Marks 3 Marks 5 Marks
Mathematics 1x2 2x1 3x1 5x1
Correlation & Regression 1x5 2x1 3x4 5x3
Probability & Probability Distribution 1x3 2x4 3x1 5x2
1x10=10 2x6=12 3x6=18 5x6=30
Total Marks 70
PRACTICAL EXAM SYLLABUS FOR HALF -YEARLY EXAM :
1. Correlation coefficient & linear regression
2. Spearman & Rank correlation coefficient (without tie)
3. Application & Fitting of Binomial distribution
4. Application & fitting of poisson distribution
5. Scatter diagram

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CLASS- XII
SUB- STATISTICS

PRE-BOARD / BOARD FINAL EXAMINATION: 2024-2025

Mathematics:
Limit, Continuity, Differentiation, Integration (Only Numerical), Standard definition of Gamma
integral and results involving it (without derivations).

Correlation & Regression:
Bivariate data. Scatter diagram. Correlation & Correlation coefficient. Properties of
Correlation coefficient. Rank Correlation, Spearman’s Rank Correlation coefficient (without tie).
Concept of Regression. Principle of Least squares. Fitting of Regression lines. Important

Probability & Probability Distributions-I
Random experiment, Trial, Sample space, Sample point and different types of events.
Definition of Probability: Classical, Statistical and Axiomatic. Theorem on the probability of union of
(two & three) events. Conditional probability. Theorem on conditional probability for two & three
events. Independence of events. Bayes’ theorem and its application.
Random variable (discrete and continuous) and its probability distribution. Cumulative
distribution function. Probability mass function and Probability density function. Mathematical
expectation. Addition and Multiplication rule of mathematical expectation. Problems related to
probability distribution and mathematical expectation.

Probability Distribution-II
Uniform (Discrete and Continuous), Bernoulli, Binomial, Poisson, Geometric, Normal
distribution and Exponential Distribution.

Sampling, Estimation & Testing of Hypotheses
Population & sample. Parameter & statistic. Census & Sample survey. Concepts of probability
sampling and random number tables. Concepts of sampling distribution of statistic and its standard
error. Chi-square distribution, t-distribution, F-distribution (Definition and properties only). Simple
random sampling with replacement (SRSWR) and Simple random sampling without replacement
(SRSWOR): Estimation of population mean and standard error of the estimates.

Concept of Point estimation. Requirement of good estimator: Unbiasedness, Consistency,
Efficiency. Elementary concept of MVUE & BLUE.

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Statistical tests of Hypothesis- Null & alternative hypothesis. Simple & 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 Binomial proportion, two binomial proportions using large
sample approximations. Exact tests of hypothesis under normal set-up for a single mean and equality
of two means. Frequency Chi-square test & Goodness of fit.

PRE-BOARD/ BOARD FINAL EXAMINATION: 2024-2025

Topic 1 Mark 2 Marks 3 Marks 5 Marks
Mathematics - - - 5x1
Correlation & Regression 1x2 - 3x1 5x1
Probability & Probability Distributions-I 1x5 2x2 3x2 5x1
Probability Distributions-II - 2x2 3x2 5x1
Sampling, Estimation , Testing of Hypothesis 1x3 2x2 3x1 5x2
1x10=10 2x6=12 3x6=18 5x6=30
Total Marks 70

PRACTICAL EXAMINATION SYLLABUS OF
PRE-BOARD/BOARD FINAL EXAMINATION: 2024-2025

1. Scatter diagram.
2. Correlation coefficient and Linear Regression.
3. Spearman’s Rank Correlation coefficient (without tie).
4. Applications and Fitting of Binomial Distributions.
5. Applications and Fitting of Poisson Distributions.
6. Applications and Fitting of Normal Distributions.
7. Drawing of random samples by using random number tables.
8. Calculation of sample mean and standard error of sample mean in case of SRSWR and SRSWOR
9. Large sample tests of a single mean, single proportion and difference of two proportions.
10. Pearson’s Chi-square tests.
11. Exact tests of hypotheses under normal set-up for a single mean, difference of two means and
single variance.
PRACTICAL EXAMINATION
(HALF YEARLY/PRE-BOARD/BOARD FINAL EXAMINATION:2024-2025
Full Marks: 30, Time: 3 Hours
1. Experiments (5 + 5 + 5+5) 20 Marks
2. Practical Note Book (PNB) 03 Marks
3. Viva-Voce 02 Marks
4. Attendance 05 Marks
Total Marks :- 30 Marks

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