Gujarat Secondary and Higher Secondary Education Board
Gujarat Secondary and Higher Secondary Education Board
Education Department - Government of Gujarat
Swarnim Gujarat
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ગુજરાતી
Statistics (135)
3. Linear Correlation
  • Meaning & Definition of linear correlation.
  • Coefficient of correlation - definition and methods - scatter diagram method - examples and explanation with illustrations.
  • Perfect positive correlation
  • Perfect negative correlation
  • Partial Positive correlation
  • Partial Negative correlation
  • Karl Pearson's Product Moment method - examples and illustration.
  • Alternative formulae of Karl Pearson
  • Spearans Rank correlation method - explanation - merits, demerits & Sums.
  • Interpretation of coefficient of correlation and its precautions.
4. Linear Regression
  • Introduction
  • Linear Regression Model
  • Fitting a regression line
    (1) Scatter Diagram Method
    (2) Least Square Method
  • Regression coefficient
  • Different formulae for calculation of regression coefficients.
  • Coefficient of determination
  • Precautions for using regression coefficient.
  • Two regression lines.
  • Illustrations
5. Interpolation and Extrapolation
  • Meaning and definition
  • Uses and importance
  • Assumptions
  • Method of interpolation and extrapolation
    1. Newton's Method 2. Lagranges Method
    3. Binomial Expansion method.
    (Pascal's triangle explanation - sum of all 3 methods.)
    Note : Proof of any formula is not in syllabus.
6.Series
  • Meaning
  • Types - base on time - Time series, Other series - Arithmetic progression Geometric Progression.
  • Time Series - Meaning - definition - Illustration - sums
  • Trend and methods of measuring trends - Graphical method, Least square method.
  • Other series - Arithmetic Progression is explained in std. XI
  • Geometric progression - Explanation meaning - definition illustrations – sum of the series & sum.
7. Probability
  • Introduction
  • Random experiment and sample space
  • Event - Certain event, impossible event other events.
  • Definition of probability
    - Classical definition and assumption.
    - Statistical definition
  • Rules of probability
  • Sums related to events.
    Note : No proof of rules of probability is included in syllabus.
8. Probability Distribution :
  • Random variable - Discrete random variable
  • Continuous random variable
  • Probability Distribution
  • Binomial Probability Distribution.
  • Characteristics. of binomial probability distribution.
  • Binomial probability function and sums based on it
  • Normal distribution.
  • Function of Normal distribution.
  • Standard Normal variable.
  • Standard Normal distribution.
  • Area of Normal Curve
  • Characteristics of Normal Distribution.
  • Characteristics of Standard normal distribution.
  • Exercise based on normal and standard normal distributions.
Suggestions :
  • No proof is included in any formulae.
  • Consistency of statistical formulae to be maintained from std. 8 to std. 12.
  • Logical sequence of chapter should be observed.
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