In the bustling city of Dhaka, there was a small, dusty bookshop tucked between a tea stall and a pharmacy. Among the shelves of romance novels and political manifestos sat a stack of textbooks. One of them, worn and filled with margin notes, was called An Introduction to Statistics and Probability by Nurul Islam.
For two years, the book sat unopened. It was a required text for first-year university students, most of whom saw it as a necessary evil—a collection of Greek letters, cryptic formulas, and graphs that looked like abstract art. They called it “The Brick.”
Then came Rima.
Rima was not a math prodigy. She was a shy girl from a small village who had failed her first statistics exam. Humiliated, she took the book to the rooftop of her dormitory one evening, ready to tear out its pages. But before she did, a single sentence caught her eye in the preface:
“Uncertainty is not the enemy of knowledge; it is its very source.”
She paused. Nurul Islam, she realized, was not just a professor. He was a storyteller. He wrote not about numbers, but about the hidden rhythms of life.
That night, she began to read.
Chapter 1: The Average Man
Nurul Islam began with a simple story. He described a census officer who went to a village and found that the “average” family had 2.3 children, owned 1.6 cows, and ate 3.4 meals a day. But when the officer looked for the family with 2.3 children, he found none. “The average,” Islam wrote, “is a ghost. It does not exist in reality, yet it tells us something real about the whole.”
Rima looked at her own life. She had 3 siblings, 0 cows, and ate 2 meals a day. She was not the average. But now she understood: statistics was not about forcing individuals into a mold. It was about understanding the shape of the crowd.
Chapter 3: The Coin and the Conscience
Probability was her next hurdle. Nurul Islam used a beautiful analogy. He told of a merchant who had to cross a river known for pirates. “If I cross today,” the merchant thought, “there is a 30% chance of being robbed.” That 30% was not a prediction of his fate, but a measure of his uncertainty.
“Probability,” Islam wrote, “lives in the mind, not in the world. The world simply happens. We assign probabilities because we lack complete knowledge.”
Rima realized that her fear of failure was not a fact—it was a probability. And probabilities change with new information. So she changed her study habits. She broke down her syllabus into data points, plotted her progress on a graph, and calculated the likelihood of passing based on her daily effort.
Chapter 7: The Bell Curve of Belonging
The most moving chapter was on the normal distribution. Islam told the story of a classroom where students’ heights formed a bell curve. Most were near the middle. A few were very tall. A few were very short. “None is abnormal,” he wrote. “The curve is not a hierarchy; it is a landscape.”
For the first time, Rima stopped comparing herself cruelly to others. She was not a failure for being below average in one exam. She was simply a data point on a curve. Her job was not to hate the curve, but to shift her own position on it—one small, steady step at a time.
The Final Chapter: The Law of Large Numbers
Near the end of the book, Nurul Islam shared a quiet truth: “One toss of a coin tells you nothing. A thousand tosses reveal order. In life, as in statistics, do not judge by a single event. Let your sample size grow.”
Rima took her final statistics exam six weeks later. She did not become a topper. She scored exactly average—72 out of 100. But she walked out of the hall with a strange peace.
She understood now. Statistics had not given her certainty. It had given her a language for uncertainty. Probability had not predicted her future. It had taught her how to act wisely in the dark. An Introduction To Statistics And Probability By Nurul Islam
Years later, Rima became a public health researcher. She used Nurul Islam’s methods to predict disease outbreaks, understand poverty patterns, and save lives. And on her desk, always, was a worn copy of An Introduction to Statistics and Probability.
Whenever a young intern complained that statistics was boring, Rima would smile and say:
“Numbers are just frozen stories. And Nurul Islam? He was the one who taught them how to dance.”
An Introduction to Statistics and Probability by Dr. M. Nurul Islam is a comprehensive academic textbook widely used in South Asian universities, particularly in Bangladesh . Published by Mullick & Brothers, the book is currently in its 5th edition (2022) and spans over 800 pages . Key Book Information
Author: Dr. M. Nurul Islam, a former Selection Grade Professor at the University of Dhaka and former Vice-Chancellor of Mawlana Bhashani Science and Technology University . Publisher: Mullick & Brothers (Dhaka, Bangladesh) .
Pages: Approximately 828–857 pages, depending on the edition .
Target Audience: Students in science, engineering, social sciences, and professionals seeking a clear pathway to data analysis . Core Content and Structure
The book is structured into four primary parts, covering both descriptive and inferential statistics alongside probability theory .
Introduction To Statistics and Probablity-M.nurul Islam - Scribd
Nurul Islam is former Selection Grade Professor of Statistics, Faculty of Science at the University of Dhaka, Bangladesh.
An Introduction To Statistics And Probability By Nurul Islam Pdf
Introduction
Statistics and probability are two fundamental concepts in mathematics and data analysis. Statistics deals with the collection, analysis, interpretation, presentation, and organization of data, while probability is a measure of the likelihood of an event occurring. In this book, we will provide an introduction to statistics and probability, covering the basic concepts, theories, and applications.
What is Statistics?
Statistics is the science of collecting, analyzing, and interpreting data. It involves the use of mathematical techniques to summarize and describe data, as well as to draw conclusions and make decisions based on that data. Statistics is used in a wide range of fields, including medicine, social sciences, business, and engineering.
What is Probability?
Probability is a measure of the likelihood of an event occurring. It is a number between 0 and 1 that represents the chance or probability of an event happening. Probability theory is used to model and analyze random phenomena, and it has numerous applications in fields such as insurance, finance, and engineering.
Key Concepts in Statistics and Probability
Some key concepts in statistics and probability include:
Types of Statistics
There are two main types of statistics:
Applications of Statistics and Probability
Statistics and probability have numerous applications in various fields, including:
Importance of Statistics and Probability
Statistics and probability are important because they provide a framework for analyzing and understanding data, making informed decisions, and predicting future outcomes. In today's data-driven world, statistics and probability are essential tools for anyone working with data.
Overview of the Book
This book provides an introduction to statistics and probability, covering the basic concepts, theories, and applications. The book is divided into several chapters, each of which focuses on a specific topic in statistics and probability. The chapters include:
By the end of this book, readers will have a solid understanding of the basic concepts of statistics and probability, as well as the ability to apply these concepts to real-world problems.
An Introduction to Statistics and Probability " by Dr. M. Nurul Islam is a cornerstone textbook frequently utilized by students and professionals in Bangladesh and South Asia, particularly in fields like statistics, economics, engineering, and social sciences
Written by a distinguished academic—Dr. Islam is a former Selection Grade Professor of Statistics at the University of Dhaka and former Vice Chancellor of Mawlana Bhashani Science and Technology University—the book is designed to provide a comprehensive, accessible foundation in statistical analysis. Core Structure and Content
The textbook is highly regarded for its structured approach, often covering the following areas over 800+ pages (varying by edition, e.g., the 5th edition in 2022): CUET Central Library Part I: Descriptive Statistics & Data Summarization Covers basic concepts, data collection, and classification.
Focuses on frequency distributions, measures of central tendency (mean, median, mode), dispersion, skewness, and kurtosis.
Provides extensive training on graphical representation of data. Part II: Probability Theory
Introduces fundamental probability concepts, random variables, and probability distributions.
Covers expected value, variance, moment-generating functions, and specific distributions (Bernoulli, Binomial, Poisson, Normal, etc.). Part III: Inferential Statistics Covers sampling theory and estimation techniques.
Detailed explanation of hypothesis testing, analysis of variance (ANOVA), and chi-square tests. Part IV: Applied Statistics
Discusses correlation, regression analysis, time series analysis, and index numbers. Includes material on quality control. Distinctive Features of the Book Simple and Lucid Style:
The material is written in an accessible manner, making it suitable for undergraduate and postgraduate students. Extensive Solved Problems:
It is known for including a wide variety of solved examples, which help students understand practical application, not just theory. Comprehensive Coverage:
It acts as a one-stop resource for both introductory and intermediate statistics. Relevant to Regional Context: In the bustling city of Dhaka, there was
Tailored well for academic curricula in South Asia, particularly for the University of Dhaka Statistics curriculum Target Audience
Undergraduate and Postgraduate students majoring in Statistics. Students of Economics, Engineering, and Social Sciences. Researchers needing a refresher on statistical methods. Where to Find
The book is standard in many university libraries in Bangladesh. Publishers: Often published by local publishers like Mullick & Brothers Online/Digital:
Snippets and discussions of the text appear on academic sharing platforms such as Studocu and
This textbook remains a highly recommended resource for building a strong foundation in statistics in Bangladesh.
An Introduction To Statistics And Probability By Nurul Islam Pdf
To maximize your learning, follow this roadmap:
In conclusion, An Introduction To Statistics And Probability By Nurul Islam is not just a textbook; it is a rite of passage. For generations of students who feared mathematics, this book transformed anxiety into understanding. For the current generation of aspiring data scientists, it offers the logical bedrock upon which to build sophisticated analytical skills.
Whether you are preparing for a university exam, a competitive test like the GRE or CSS, or simply wish to become a more rational consumer of news and data, reading Nurul Islam’s introduction is one of the wisest investments you can make. It teaches you not just how to calculate a mean, but how to think about uncertainty.
In a noisy world of misinformation, the calm, clear, step-by-step logic of this book is more necessary than ever. So, find a copy, open to Chapter One, and let Nurul Islam guide you into the rational world of statistics and probability.
Where to Find the Book: You can typically find An Introduction To Statistics And Probability By Nurul Islam at academic bookstores in Bangladesh and India, or via online retailers like Rokomari.com and Amazon (third-party sellers). Check for the latest edition to ensure updated content.
8. Estimation
9. Hypothesis Testing
Steps (Memorize):
Types of Errors:
10. Correlation & Regression (Introduction)
No book is perfect. Some readers find that An Introduction To Statistics And Probability By Nurul Islam lacks modern graphical analysis (box plots, histograms in R). However, this is a feature, not a bug. By focusing on calculation and logic, it forces the student to internalize concepts rather than relying on software output.
Another minor criticism is the occasional typographical error in older editions. Always ensure you purchase the latest revised edition (often published by Mullick Brothers or similar academic presses in Dhaka and Kolkata), which has corrected previous errata.
The genius of Nurul Islam’s approach lies in his ability to weave two distinct disciplines into a cohesive narrative.
1. Probability as the Language of Uncertainty Islam does not treat probability as a mere calculation of odds. Instead, he presents it as the necessary mathematical framework for quantifying ignorance. Before one can analyze data, one must understand the nature of randomness. The text establishes probability as the "logic of science," moving from basic set theory and axiomatic probability to complex distributions. It teaches the student that before we can measure the world, we must model the likelihood of events occurring within it. “Uncertainty is not the enemy of knowledge; it
2. Statistics as the Art of Inference Conversely, the statistics portion of the book deals with the empirical side—the art of making sense of collected data. If probability is the theory of predicting future outcomes based on known parameters, statistics is the inverse: using sample outcomes to estimate unknown parameters. Islam structures this inverse relationship carefully, ensuring the student understands the dialogue between the population (the theoretical truth) and the sample (the observed reality).