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Revision: Numerical Ability and Quantitative Reasoning CUET (UG) Numerical Ability and Quantitative Reasoning

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Definitions [1]

Definition: Geometric progression

A sequence, in which each of its terms can be obtained by multiplying or dividing its preceding term by a fixed quantity, is called a geometric progression.

  • A fixed number is called the common ratio (r)

Formulae [1]

Formula: Mean

\[ \begin{array}{c} \text{The mean of statistical data} = \dfrac{\text{The sum of all scores}}{\text{Total no. of scores}} = \dfrac{\sum\limits_{i = 1}^{N} x_{i}}{N} \end{array} \]

(Here \[ x_{i} \] is the \[ i^{th} \] score)

Mean is denoted by \[ \overline{X} \] and it represents the average of the given data.

\[ \overline{X} = \frac{\sum\limits_{i = 1}^{N} x_{i}}{N} \]

Key Points

Key points: Concepts of Statistics
  • Statistics deals with collecting, organising, analysing, and interpreting data.

  • Central tendency gives a single representative value for a data set.

  • Mean is the arithmetic average.

  • Median is the middle value of ordered data.

  • Mode is the most frequently occurring value.

Concepts [29]

  • Number System (Entrance Exam)
  • HCF and LCM (Entrance Exam)
  • Average (Entrance Exam)
  • Ratio and Proportion (Entrance Exam)
  • Mixture and Allegations (Entrance Exam)
  • Simplification (Entrance Exam)
  • Algebra (Entrance Exam)
  • Partnership (Entrance Exam)
  • Percentage (Entrance Exam)
  • Profit and Loss (Entrance Exam)
  • Simple and Compound Interest (Entrance Exam)
  • Time and Work (Entrance Exam)
  • Pipes and Cisterns (Entrance Exam)
  • Time, Speed and Distance (Entrance Exam)
  • Boats and Streams (Entrance Exam)
  • Problems Based on Ages (Entrance Exam)
  • Geometry (Entrance Exam)
  • Mensuration - Area and Volume (Entrance Exam)
  • Data Interpretation (Entrance Exam)
  • Simplification, Square, Square Root, Cube and Cube Root (Entrance Exam)
  • Problems on Trains (Entrance Exam)
  • Concepts of Statistics
  • Algebraic Identities and Polynomials (Entrance Exam)
  • Equations and Inequalities (Entrance Exam)
  • Trigonometry (Entrance Exam)
  • Concept of Probability
  • Geometric Progression (G. P.)
  • Fraction (Entrance Exam)
  • Miscellaneous (Entrance Exam)
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