Topics
Commercial Mathematics
Goods and Services Tax (G.S.T.)
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
Banking
Algebra
Geometry
Shares and Dividends
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
Ratio and Proportion
Statistics
Factorisation of Polynomials
- Function and Polynomial
- Division Algorithm for Polynomials
- Remainder Theorem
- Factor Theorem
- Applications of Factor Theorem
Probability
Matrices
Arithmetic and Geometric Progression
Co-ordinate Geometry
- Co-ordinate Geometry
- Advanced Concept of Reflection in Mathematics
- Invariant Points
- Combination of Reflections
- Using Graph Paper for Reflection
Similarity
Symmetry
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
Circles
Tangent and Secant Properties
Constructions
Area and Volume of Solids (Cylinder, Cone and Sphere)
- Mensuration of Cylinder
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- Hemisphere
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Trigonometrical Identities
Heights and Distances
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Statistics : basic concepts, Mean, Median, Mode. Histograms and Ogive
Probability
Definition: Statistics
Statistics is the area of study dealing with the collection, presentation, and analysis of data as well as drawing meaningful conclusions from the data.
Definition: Data
A collection of given facts or figures, usually expressed in numerical form.
Definition: Frequency
Frequency:
The number of times a particular observation occurs.
Frequency Distribution:
A tabular arrangement of data showing the frequency of each observation or class.
Definition: Class Interval
Each group into which raw data is divided is called a class interval.
Definition: Class Limits
The two values that bound a class interval.
-
Lower limit: Smallest value of the class
-
Upper limit: Largest value of the class
Definition: Inclusive and Exclusive Forms
-
Inclusive form: Both lower and upper limits are included in the class.
(Example: 1–10, 11–20) -
Exclusive form: Lower limit is included, but upper limit is excluded.
(Example: 0–10, 10–20)
Definition: Range
The difference between the highest and lowest observations.
Range = Highest value − Lowest value
Formula: Adjustment Factor
\[\text{Adjustment Factor}=\frac{1}{2}\text{(Lower limit of next class - Upper limit of previous class)}\]
Formula: Frequency Density
\[\text{Frequency density}=\frac{\mathrm{Frequency}}{\text{Class width}}\]
Shaalaa.com | Concepts of Statistics
Related QuestionsVIEW ALL [51]
In the following data, find the values of p and q. Also, find the median class and modal class.
| Class | Frequency (f) | Cumulative frequency (cf) |
| 100 – 200 | 11 | 11 |
| 200 – 300 | 12 | p |
| 300 – 400 | 10 | 33 |
| 400- 500 | Q | 46 |
| 500 – 600 | 20 | 66 |
| 600 – 700 | 14 | 80 |
