Topics
Compound Interest
- Compound Interest as a Repeated Simple Interest Computation with a Growing Principal
- Use of Compound Interest in Computing Amount Over a Period of 2 Or 3-years
- Use of Formula
- Finding CI from the Relation CI = A – P
Commercial Mathematics
Goods and Services Tax (G.S.T.)
Banking
Algebra
Geometry
Shares and Dividends
Symmetry
Mensuration
Linear Inequations
Quadratic Equations
- Quadratic Equations
- Method of Solving a Quadratic Equation
- Factorisation Method
- Quadratic Formula (Shreedharacharya's Rule)
- Nature of Roots of a Quadratic Equation
- Equations Reducible to Quadratic Equations
Trigonometry
Statistics
Problems on Quadratic Equations
- Method for Solving a Quadratic Word Problem
- Problems Based on Numbers
- Problems on Ages
- Problems Based on Time and Work
- Problems Based on Distance, Speed and Time
- Problems Based on Geometrical Figures
- Problems on Mensuration
- Problems on C.P. and S.P.
- Miscellaneous Problems
Ratio and Proportion
Probability
Remainder Theorem and Factor Theorem
- Function and Polynomial
- Division Algorithm for Polynomials
- Remainder Theorem
- Factor Theorem
- Applications of Factor Theorem
Matrices
Arithmetic Progression
Geometric Progression
Reflection
- Co-ordinate Geometry
- Advanced Concept of Reflection in Mathematics
- Invariant Points
- Combination of Reflections
- Using Graph Paper for Reflection
Section and Mid-Point Formulae
Equation of a Line
Similarity
Loci
- Locus
- Points Equidistant from Two Given Points
- Points Equidistant from Two Intersecting Lines
- Summary of Important Results on Locus
- Important Points on Concurrency in a Triangle
Angle and Cyclic Properties of a Circle
Tangent Properties of Circles
Constructions
Volume and Surface Area of Solids (Cylinder, Cone and Sphere)
- Mensuration of Cylinder
- Hollow Cylinder
- Mensuration of Cones
- Mensuration of a Sphere
- Hemisphere
- Conversion of Solids
- Solid Figures
- Problems on Mensuration
Trigonometrical Identities
Heights and Distances
- Angles of Elevation and Depression
- Problems based on Elevation and Depression
Graphical Representation of Statistical Data
Measures of Central Tendency (Mean, Median, Quartiles and Mode)
Probability
- Introduction
- Measures
Maharashtra State Board: Class 11
Introduction
Measures of central tendency—mean, median, and mode—are single values that represent an entire dataset. They help to summarise big sets of numbers and identify a "typical" value.
Maharashtra State Board: Class 11
Measures
| Types of Average | Individual Data | Discrete Data | Continuous Data |
|---|---|---|---|
| Arithmetic Mean | \[\overline{x}=\frac{\Sigma x}{n}\] | \[\overline{x}=\frac{\Sigma f_ix_i}{n}\] | \[\text{Direct method}\overline{X}=\frac{\Sigma f_{i}x_{i}}{n}\] |
| Mode | Value repeated maximum number of times | The value which has maximum frequency | \[\mathrm{Mode}=l+\left[\frac{f_1-f_0}{2f_1-f_0-f_2}\right]\times h\] |
| Median | \[\mathbf{M}=\mathrm{size~of}\left({\frac{n+1}{2}}\right)^{\text{th observation}}\] | \[\mathbf{M}=\mathrm{size~of}\left({\frac{n+1}{2}}\right)^{\text{th observation}}\] | \[\mathbf{M}=l+\left(\frac{\frac{n}{2}-cf}{f}\right)\times\mathbf{h}\] |
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Related QuestionsVIEW ALL [29]
Calculate GM for the following table gives the weight of 31 persons in the sample survey.
| Weight (lbs): | 130 | 135 | 140 | 145 | 146 | 148 | 149 | 150 | 157 |
| Frequency | 3 | 4 | 6 | 6 | 3 | 5 | 2 | 1 | 1 |
The monthly incomes of 8 families in rupees in a certain locality are given below. Calculate the mean, the geometric mean and the harmonic mean and confirm that the relations among them holds true. Verify their relationships among averages.
| Family: | A | B | C | D | E | F | G | H |
| Income (Rs.): | 70 | 10 | 50 | 75 | 8 | 25 | 8 | 42 |
