Assam Higher Secondary Statistics study plan

Distinguish census from sample survey and classify 20 real data sources as primary or secondary, justifying each choice in one line.

Construct grouped frequency distributions with correct class limits, class marks, and both cumulative frequency columns for five raw data sets.

Draw and fully label a histogram, frequency polygon, and both ogives from one grouped distribution, then locate the median graphically and confirm it by computation.

Compute mean, median, mode, weighted mean, and combined mean for grouped and ungrouped data across 10 problems, showing the step-deviation working.

Write out all central tendency formulas from memory and state two properties each of mean, median, and mode.

Compute range, quartile deviation, mean deviation about mean and median, standard deviation, variance, and coefficient of variation for eight data sets, grouped and ungrouped.

Apply the step-deviation and assumed-mean shortcuts to grouped standard deviation and verify against the direct method on two data sets.

Convert raw moments to central moments and back for two small distributions, checking the arithmetic numerically both ways.

Calculate beta-one, beta-two, gamma-one, and gamma-two for six distributions and classify each as skewed or symmetric, leptokurtic, mesokurtic, or platykurtic.

Compare two or more series on consistency using the coefficient of variation in five word problems, stating which series is more consistent and why.

Compute Karl Pearson's coefficient of skewness and Bowley's coefficient for four distributions and use the empirical relation between mean, median, and mode to recover a missing value.

Draw scatter diagrams for five bivariate data sets and classify direction and strength of association by inspection before computing anything.

Compute Pearson's correlation coefficient by the direct, deviation, and assumed-mean methods on one data set and show that all three agree to two decimals.

Compute Spearman's rank correlation, including two cases with tied ranks, applying the tie correction properly.

Demonstrate with examples that correlation is unaffected by change of origin or scale but is affected by interchange of variables.

Obtain both regression lines from a single data set and use each to predict a value, showing clearly which line predicts x from y and which predicts y from x.

Compute the two regression coefficients and verify that their product equals the squared correlation coefficient.

Solve five problems where the means, standard deviations, correlation coefficient, and one regression coefficient are given and the remaining quantities must be recovered.

Interpret regression coefficients and the intercept in context, and explain in writing why regression lines pass through the point of means.

Contrast correlation with regression on four stated points of difference, with one worked counterexample.

Define classical, relative frequency, and axiomatic approaches to probability, and compute probabilities for dice, cards, and urn experiments under each interpretation.

Apply the addition and multiplication theorems across 15 problems, correctly separating mutually exclusive from independent events each time.

Compute conditional probabilities and solve five Bayes' theorem problems, drawing the tree diagram before calculating.

Construct probability distributions for two discrete random variables, verify that probabilities sum to one, and compute expectation and variance of each.

Fit a binomial distribution for given n and p, compute individual and cumulative probabilities, and state its mean and variance.

Solve Poisson distribution problems and demonstrate the binomial-to-Poisson approximation for large n and small p with a numerical comparison.

Use standard normal tables to convert between z-scores and probabilities and solve four applied problems involving normal areas.

Distinguish sample from population and describe simple random, stratified, and systematic sampling with one advantage and one limitation of each.

Explain sampling distribution and standard error, and compute the standard error of the mean for four given cases.

Construct confidence intervals for a population mean from large-sample data and interpret the interval in one sentence for a non-statistician.

Set up null and alternative hypotheses and carry out z-tests and t-tests for a single mean, stating the conclusion at 5% and 1% levels.

Decompose a time series into its four components and compute three-year and four-year moving averages for a given series, noting the centring requirement for even periods.

Fit a linear trend by the method of least squares to a given series and predict a value two periods ahead.

Construct Laspeyres, Paasche, and Fisher index numbers from one price-quantity table and test Fisher's index for time reversal and factor reversal.

Re-solve every previously incorrect problem and log each error under one of: formula recall, algebraic slip, misread question, or concept gap.

Write the complete formula set for all five domains from memory on a single sheet and check it against the week 1 sheet.

Complete two full-length timed papers under exam conditions with no notes, then mark them strictly against the syllabus.

Re-drill the two weakest sub-topics identified by mock-paper scores until two consecutive perfect attempts are achieved.