Topics
Linear Equations in Two Variables
Quadratic Equations
- 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
Financial Planning
- Mathematical Study of GST (Goods and Services Tax)
- GST Structure for Calculations
- Tax Invoice Under GST(Mathematics)
- GST in Trading Chain
- Input Tax Credit (ITC) in Mathematics
- Computational Mechanisms under GST
- Saving and Investment
- Shares
- Brokerage and Taxes on Share Trading
- Mutual Funds and Systematic Investment Plan
Probability
Statistics
- 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 |
Find Q1, Q3, D8 and P67 of the following data:
| Size of Shares | 4 | 4.5 | 5 | 5.5 | 6 | 6.5 | 7 | 7.5 | 8 |
| Frequency | 10 | 18 | 22 | 25 | 40 | 15 | 10 | 8 | 7 |
Calculate AM, GM and HM and also verify their relations among them for the following data.
| X | 5 | 15 | 10 | 30 | 25 | 20 | 35 | 40 |
| f | 18 | 16 | 20 | 21 | 22 | 13 | 12 | 16 |
