Topics
Commercial Mathematics
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
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Goods and Services Tax (G.S.T.)
Algebra
Banking
Geometry
Shares and Dividends
Linear Inequations
Mensuration
Quadratic Equations
Trigonometry
Ratio and Proportion
Statistics
Factorisation of Polynomials
- Function and Polynomial
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- Remainder Theorem
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Probability
Matrices
Arithmetic and Geometric Progression
Co-ordinate Geometry
- Foundation of Coordinate Geometry
- Advanced Concept of Reflection in Mathematics
- Invariant Points
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- Using Graph Paper for Reflection
Similarity
Symmetry
Loci
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- Points Equidistant from Two Given Points
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Circles
Tangent and Secant Properties
Constructions
Area and Volume of Solids (Cylinder, Cone and Sphere)
- Mensuration of Cylinder
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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 a class test, 50 students obtained marks as follows:
| Marks obtained |
0 – 20 | 20 – 40 | 40 – 60 | 60 – 80 | 80 – 100 |
| Number of students |
4 | 6 | 25 | 10 | 5 |
Find the modal class and the median class.
If the median of `x/5, x/4, x/2, x and x/3`, where x > 0, is 8, find the value of x.
| HINT | Arranging the observations in ascending order, we have `x/5, x/4, x/3, x/2, x` Median `= x/3 = 8.` |
The table below shows the daily expenditure on food of 30 households in a locality:
| Daily expenditure (in Rs) | Number of households |
| 100 – 150 | 6 |
| 150 – 200 | 7 |
| 200 – 250 | 12 |
| 250 – 300 | 3 |
| 300 – 350 | 2 |
Find the mean and median daily expenditure on food.
