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PUPCET MathematicsStatistics & ProbabilityConcept Map

If you learn better by seeing ideas connected visually, this concept map of Statistics & Probability is built for you. Every PUPCET Mathematics question draws on these relationships, so building this map mentally is half the battle when you sit for PUPCET 2026.

Exam context

The Polytechnic University of the Philippines College Entrance Test is conducted by Polytechnic University of the Philippines and is scheduled for Q3 2026 (expected). The Mathematics subtest is marked as "Core section" in the official pattern, and Statistics & Probability appears in position 8th of 9 in the PUPCET Mathematics review rotation. Passing mark: Varies by programme and campus. Recent PUPCET 2026 papers have drawn roughly a meaningful share of questions from this subject.

Statistics & Probability - Concept map

Central Concept

Statistics and Probability

Related Concepts

Concept

Statistics

Sub Concepts

  • Data and Variables
  • Population vs Sample
  • Measures of Central Tendency
  • Measures of Dispersion
  • Data Collection Methods
  • Sampling Techniques

Relationship To Central

One of two main branches dealing with data analysis and interpretation

Concept

Probability

Sub Concepts

  • Random Experiments
  • Sample Space and Events
  • Probability Rules
  • Conditional Probability
  • Independent vs Dependent Events
  • Addition and Multiplication Rules

Relationship To Central

Second main branch dealing with likelihood and chance events

Concept

Counting Principles

Sub Concepts

  • Fundamental Counting Principle
  • Factorial Notation
  • Permutations
  • Combinations
  • Circular Permutations

Relationship To Central

Foundation for probability calculations and statistical analysis

Concept

Data Analysis

Sub Concepts

  • Charts and Graphs
  • Bar Charts
  • Pie Charts
  • Line Graphs
  • Data Interpretation

Relationship To Central

Application of statistical methods to interpret and present data

Concept Connections

To

Probability Calculation

From

Sample Space

Strength

strong

Relationship

Sample space provides the denominator for probability calculations

To

Probability

From

Counting Principles

Strength

strong

Relationship

Counting principles determine the number of favorable outcomes and total outcomes

To

Sample

From

Population

Strength

strong

Relationship

Sample is a subset of population used for statistical inference

To

Standard Deviation

From

Mean

Strength

strong

Relationship

Mean is used in calculating variance and standard deviation

To

Combinations

From

Permutations

Strength

strong

Relationship

Combinations are permutations divided by factorial of selected items

To

Permutations

From

Factorial

Strength

strong

Relationship

Factorial is fundamental to permutation calculations

To

Combinations

From

Factorial

Strength

strong

Relationship

Factorial is used in both numerator and denominator of combination formula

To

Multiplication Rule

From

Independent Events

Strength

strong

Relationship

Multiplication rule applies when events are independent

To

Addition Rule

From

Mutually Exclusive Events

Strength

strong

Relationship

Addition rule is simplified when events are mutually exclusive

To

Statistical Analysis

From

Data Collection

Strength

strong

Relationship

Quality of data collection affects reliability of statistical analysis

To

Range

From

Median

Strength

moderate

Relationship

Both are measures that help understand data distribution

To

Frequency Distribution

From

Mode

Strength

moderate

Relationship

Mode represents the most frequent value in distribution

To

Statistical Bias

From

Sampling Methods

Strength

moderate

Relationship

Proper sampling methods reduce statistical bias

To

Data Interpretation

From

Charts and Graphs

Strength

moderate

Relationship

Visual representations facilitate data interpretation

To

Dependent Events

From

Conditional Probability

Strength

strong

Relationship

Conditional probability is used when events are dependent

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