Topics
Real Numbers
Number Systems
Algebra
Polynomials
Coordinate Geometry
Pair of Linear Equations in Two Variables
- Pair of Linear Equations in Two Variables
- Graphical Method with Different Cases of Solution
- Algebraic Methods of Solving a Pair of Linear Equations
- Substitution Method
- Elimination Method
Geometry
Quadratic Equations
Trigonometry
Arithmetic Progressions
Mensuration
Coordinate Geometry
Statistics and Probability
Triangles
Circles
Introduction to Trigonometry
Heights and Distances
- Angles of Elevation and Depression
- Problems based on Elevation and Depression
Areas Related to Circles
Surface Areas and Volumes
Statistics
Probability
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
