Topics
Linear Equations in Two Variables
- Foundation of Linear Equations in Two Variables
- Simultaneous Linear Equations
- Graph of a Linear Equation in Two Variables
- Methods of Solving Linear Equations in Two Variables > Graphical Method
- Methods of Solving Linear Equations in Two Variables > Determinant method (Cramer’s Rule)
- Equations Reducible to Linear Equations
- Application of Simultaneous Equations
Quadratic Equations
- Concept of Quadratic Equations
- Factorisation Method
- Completing the Square Method
- Quadratic Formula (Shreedharacharya's Rule)
- Nature of Roots of a Quadratic Equation
- Relation Between Zeroes (Roots) and Coefficients of a Quadratic Equation
- Formation of a Quadratic Equation with Given Roots
- Application of Quadratic Equation
Arithmetic Progression
- Patterns and Sequences
- Arithmetic Progression (A.P.)
- General Term (nth) of an Arithmetic Progression
- Sum of First ‘n’ Terms of an Arithmetic Progressions
- Application of an Arithmetic Progression (A.P)
Financial Planning
Probability
Statistics
CBSE: Class 10
Maharashtra State Board: Class 10
CISCE: Class 10
Maharashtra State Board: Class 10
CISCE: Class 10
Formula: Mean of Grouped (Tabulated) Data
Direct Method:
\[\bar{x}=\frac{\sum f_ix_i}{\sum f_i}\]
where xi = class mark, fi = frequency
Short-cut (Assumed Mean) Method:
\[\bar{x} = A+\frac{\sum f_id_i}{\sum f_i}\]
where di = xi - A
A is the assumed mean
Step-deviation Method:
\[\bar{x}=a+h\frac{\sum f_iu_i}{\sum f_i}\]
where \[u_i=\frac{x_i-a}{h}\]
h is the class width / common factor
Video Tutorials
Shaalaa.com | Statistics part 4 (Direct Method for mean)
to track your progress
