West Bengal Board Class 11 Statistics Syllabus 2024-25: Download Syllabus PDF For Free

Semester 1 

UNIT 1 Introduction: Meaning of statistics, Nature of statistics, Importance of statistics, Relation with some allied subjects, Uses of statistics, Misuses of statistics. 

Types of data: Primary and Secondary data, Quantitative data and Qualitative data, Discrete data and continuous data, Time series , Spatial series data and cross-sectional data, ordinal data and nominal data, Illustration with examples. 

UNIT 2 Collection of data: Questionnaire and its basic characteristics, Definition of Schedule and pilot survey, Designing a questionnaire and schedule, concept of outliers.  

Scrutiny of data: Checking internal consistency and detection of error in collection and in recording. 

UNIT 3 Presentation of data: Textual representation, Tabular representation, Diagrammatic representation (line diagram, Multiple axes diagram and multiple line diagram), Bar diagram (Horizontal and vertical bar diagrams, multiple and divided bar diagrams), Pie diagram.

UNIT 4 Frequency distribution, Cumulative frequency distribution and their graphical representation (Column diagram, Step diagram, ogive, Histogram, frequency curve of different types, Stem and leaf diagram).

UNIT 5 Official Statistics: Structure and activities of some organizations (NSSO, CSO, DGCSIR, Labour Borough, Agricultural Statistics, MOSPI).

UNIT 6 Concept of Central Tendency and its measures with properties including AM≥GM≥HM.

UNIT 7 Index No.: Definition of Index Number, Types of Index No.(Price Index, Quantity Index, Value Index), Construction of Price Index No. and its uses, Various Price Index formulae(Laspeyres', Paasche's, Edgeworth-Marshall and Fisher), Tests of consistency (Time reversal test and Factor reversal test).

Semester 2

UNIT 1 Measures of Dispersion: Range, Mean deviation, Standard deviation, Quartile deviation, Coefficient of variation, Quantile and Percentile with relation between different measures. 

UNIT 2 Raw and central moments up to fourth order and their conversions Cauchy –Schwartz Inequality Measures of Skewness and Kurtosis: Different measures based on moments and quantities(associated inequalities involving 𝑏1 and 𝑏2 coefficients). 

UNIT 3 Random experiment: Sample Space, Notion of events and operations with events. Definition of Probability: Classical and Relative frequency approach to probability with limitations. Axiomatic Definition of Probability (Statement only) Theorem of Total Probability, Bonferroni’s inequality, Boole’s inequality. Compound Probability, Conditional Probability and Bayes’ theorem, Statistical Independence of events (No. of events not more than three) and related problems.

UNIT 4 Concept of polynomials, Different forms of n-th degree polynomials relating to two different interpolation formulae, Remainder theorem. Concept of Interpolation, ∆ and E operators and their relation. Simple Interpolation : Newton’s Forward and Backward Interpolation formulae (without Derivation).

UNIT 5 Population Statistics: Introduction: Vital events, Sources of data on Vital events, Rates and Ratio of vital events. Measurement of Mortality: CDR,SDR,STDR Measurement of Fertility: CBR,GFR,ASFR,TFR Measurement of Population Growth: Crude rate of Natural increase and Vital index.