# AHSEC Class 12 Statistics Previous Year Question Papers & Syllabus

AHSEC Class 12 Statistics: consists of four units. The first unit contains a weightage of 20 marks and the second unit contains 40 marks. The paper is easy and most of the topics are also covered in mathematics. AHSEC Previous Year Papers PDF are can be downloaded below. The 2022 Statistics Question Paper is also available below. ASSAM Board Statistics Book is written Manoj Bhawal and Pranab Baruah, published by Kalyani Publication.

## AHSEC Class 12 Statistics Previous Year Question Papers & Syllabus

### Unitwise distribution of course contents of AHSEC Class 12 Statistics

#### AHSEC Class 12 Statistics Unit-1:

Calculus of Finite Difference :

Operators A and E. Construction of diagonal Difference tables. Estimation of missing values, Ideas of interpolation. Statements and applications of Newton’s Forward, Backward and Lagrange’s interpolation formulae. Idea of numerical integration, General quadrature formula. Statement and applications of trapezoidal rule, Simpsons 1/3rd rule and Simpsons 3/8th rule along with the conditions under which they are derived.

#### AHSEC Class 12 Statistics Unit-2: Theory of Probability :

Basic concepts of Random experiment, Sample point, Sample space and Event, occurrence of an event, Union and intersection of events. Complement of an event. Certain and null events. Exhaustive, Mutually exclusive and equally likely events. Probability of an event: Classical, Emperical and axiomatic (without introducing idea of measure theory). Unconditional probability, conditional probability, Dependent and independent events. Addition rule of Probability, Generalized Addition rule of probability (upto three events). Statements and application of multiplication rule of Probabilities.

Random Variable and Distribution :

Random variable; discrete and continuous distribution of a random variable, p.m.f. and p.d.f, density function. Presentation of discrete probability distribution. Probability curve of a continuous distribution, Mathematical expectation of a random variable. Mathematical expectation of the function of a random variable. Theorems on expectation of the sum and product of random variables-only application (without derivation)

Idea of Bernoulli Trials; Binomial distribution; Mathematical form, occurrence of the distribution. Derivation of the distribution, Calculation of Mean and variance. Poisson distribution; Mathematical form, Occurrence of the distribution, derivation as a limiting form of Binomial distribution, calculation of mean and variance. Normal distribution, Mathematical form (without proof). Important properties and their applications. Derivation of distribution of standard normal variate and its applications.

#### AHSEC Class 12 Statistics Unit-3: Elementary Theory of Sampling and Test of Singificance : Sampling. Random sampling, Parameter and Statistic.

Sample and Sampling distribution. Unbiased estimate of a parameter. Standard error of sampling mean and sample proportion for random sampling (without Derivation)-simple applications. Statistical hypothesis-Null hypothesis, alternative hypothesis, Level of significance. Test (only two tailed test) for a hypothetical population mean on the basis of information supplied by a random sample drawn from a normal having known standard deviation (application only). Student ‘t’ test (only two tailed test) for an assumedmean (examples only), Large sample test (only two tailed test) for proportion (examples only). Examples on use of frequency x² for testing independence of attributes in 2 x 2 table

#### AHSEC Class 12 Statistics Unit-4:

Sample Survey:

Sample survey and complete enumeration. Basic principles of sample survey, validity of optimization. Principal steps in a survey, Errors in a survey. Sampling and non sampling errors. Advantage of sample survey over complete enumeration.

Simple random sampling with and without replacement-method of selection of SRS making use of Table of random number, Estimation population mean and total, use of formula-mean and estimated population total. Limitations of SRS. Idea of stratified random sampling. Estimation of population mean (method of allocation not included). Preparation of Questionnaire and schedule. Idea of pilot survey.