Topics
Commercial Mathematics
Compound Interest
- Compound Interest as a Repeated Simple Interest Computation with a Growing Principal
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- 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
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- Remainder Theorem
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Probability
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Co-ordinate Geometry
- Foundation of Coordinate Geometry
- Advanced Concept of Reflection in Mathematics
- Invariant Points
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Similarity
Symmetry
Loci
- Locus
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Circles
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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]
The time, in seconds, taken by 150 athletes to run a 100 m hurdle race are tabulated below:
| Time (sec.) | 13 – 14 | 14 – 15 | 15 – 16 | 16 – 17 | 17 – 18 | 18 – 19 |
| Number of Athletes | 2 | 4 | 5 | 71 | 48 | 20 |
The number of athletes who completed the race in less than 17 seconds is:
Find the mean, median and mode of the following data:
| Marks obtained | 25 – 35 | 35 – 45 | 45 – 55 | 55 – 65 | 65 – 75 | 75 – 85 |
| No. of students | 7 | 31 | 33 | 17 | 11 | 1 |
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 |
