Easy2Sikshs Sample Papers
GNDU Most Repeated (Important) Quesons
B.Com 1st Semester
BUSINESS STATISTICS
(Based on 4-Year GNDU Queson Paper Trend Analysis: 2021–2024)
Must-Prepare Quesons (80–100% Probability)
SECTION–A (Introducon to Stascs & Measures of Central Tendency)
1. Meaning / Denion / Scope / Funcons of Stascs (4 mes)
2021 (Q1), 2022 (Q2), 2023 (Q1a), 2024 (Q1a)
Always appears in Q1 — theory-based start of paper.
2. Mean, Median, Mode – Calculaon & Relaonship (4 mes)
2021 (Q2), 2022 (Q2), 2023 (Q2), 2024 (Q2)
Repeated numerical from frequency distribuons — guaranteed queson.
2025 Smart Predicon Table
(Based on 4-Year GNDU Paper Trend: 2021–2024)
Secon
Queson Topic
Years
Appeared
Priority
A
Meaning / Denion / Scope / Funcons of
Stascs
2021–24
Very High
(100%)
A
Mean, Median, Mode – Calculaon &
Relaonship
2021–24
Very High
(100%)
B
Karl Pearson’s Correlaon Coecient
2021–24
Very High
(100%)
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2025 GUARANTEED QUESTIONS (100% Appearance Trend)
Top 5 Must-Prepare Quesons (Appear All 4 Years)
1. Dene Stascs and discuss its scope & funcons.
2. Calculate Mean, Median, and Mode for a given dataset.
GNDU Most Repeated (Important) Answers
B.Com 1st Semester
BUSINESS STATISTICS
(Based on 4-Year GNDU Queson Paper Trend Analysis: 2021–2024)
Must-Prepare Quesons (80–100% Probability)
SECTION–A (Introducon to Stascs & Measures of Central Tendency)
Meaning / Denion / Scope / Funcons of Stascs (4 mes)
2021 (Q1), 2022 (Q2), 2023 (Q1a), 2024 (Q1a)
Always appears in Q1 — theory-based start of paper.
Ans: Imagine you are the owner of a small business — say, a bakery in your town. Every
morning, you decide how many cakes to bake, how much flour to buy, or how many
employees to assign. If you bake too many cakes, some go waste; too few, and
customers go unsatisfied.
Now imagine doing this without any record of previous sales, customer preferences, or
market trends. Sounds chaotic, right?
This is where Statistics comes in — like a wise guide, showing patterns in numbers,
helping you make smart decisions, and turning guesswork into reliable planning. From
understanding markets to evaluating risks, from controlling costs to predicting demand,
statistics is everywhere in business.
Let’s explore it in depth, in a way that’s simple, story-like, and easy to understand.
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Meaning of Statistics
At its core, statistics is the science of collecting, organizing, analyzing, and interpreting
numerical data to help in decision-making.
In simpler words:
Statistics = Numbers + Sense.
It’s not just about counting or calculating averages; it’s about understanding what the
numbers tell us. For example, if your bakery sold 200 cakes in January and 300 in
February, statistics helps you identify trends, plan inventory, and predict future sales.
Think of it as a bridge between raw numbers and business wisdom.
Definition of Statistics
Many scholars have defined statistics in slightly different ways, but the core idea
remains the same:
1. Prof. A.L. Bowley:
“Statistics is the collection, presentation, and analysis of numerical data for the
purpose of making decisions.”
➤ Focus: Numbers used for decision-making.
2. Prof. Croxton and Cowden:
“Statistics is a body of methods for making wise decisions in the face of
uncertainty.”
➤ Focus: Handling uncertainty in business and economics.
3. Prof. Horace Secrist:
“Statistics is the science which deals with the collection, classification, analysis,
and interpretation of numerical data.”
➤ Focus: It is both a science and a tool for business.
4. Business-Oriented View:
In business, statistics is the art of translating data into insights for planning,
forecasting, and controlling operations.
So, in humanized words:
Statistics is a tool that turns raw numbers into meaningful insights, helping businesses
and organizations make intelligent decisions.
Scope of Statistics
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Statistics has a wide range of applications. Its scope extends beyond mathematics,
touching every part of business and society.
Let’s explore the scope in a simple, story-like manner, with examples:
1. Collection of Data
Before making any decisions, you need accurate data.
Example: Your bakery keeps records of daily sales, number of customers, and ingredient
costs. This raw data forms the foundation of statistics.
2. Organization and Presentation of Data
Once collected, data must be organized and presented clearly. Tables, charts, and
graphs help summarize large amounts of information.
Example: A bar chart showing monthly cake sales helps visualize which month had peak
demand.
3. Analysis and Interpretation
Data alone is meaningless without analysis. Statistics provides methods to find patterns,
trends, and relationships.
Example: Using sales data, you may notice that chocolate cakes sell more on weekends,
while vanilla cakes are popular on weekdays. This helps in better production planning.
4. Forecasting and Prediction
Statistics enables forecasting future trends.
Example: Based on past sales trends, you can predict demand for cakes in upcoming
festivals or holidays.
5. Decision Making
The ultimate goal of statistics is informed decision-making. It helps managers reduce
uncertainty and make rational choices.
Example: Deciding how many employees to hire or how much flour to stock for the next
month.
6. Control and Quality Management
Statistics is widely used in quality control and operational efficiency.
Example: Checking if cakes are consistently baked to standard weight and taste, or
identifying errors in production.
7. Research and Development
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Statistics is essential for market research and innovation.
Example: Conducting surveys to understand customer preferences and designing new
flavors accordingly.
8. Public and Social Administration
Beyond business, statistics is used by governments and NGOs for population studies,
health surveys, and economic planning.
Functions of Statistics
Statistics is not just theoretical — it performs specific functions that make it
indispensable in business and administration.
Let’s explore these functions:
1. Data Collection
• Gathering relevant and accurate information from primary or secondary sources.
• Example: Surveying customers to know their favorite cake flavors.
2. Data Classification and Tabulation
• Arranging data into meaningful groups or categories for clarity.
• Example: Sorting daily sales data by cake type or day of the week.
3. Data Presentation
• Representing data through tables, charts, and graphs for easy understanding.
• Example: A pie chart showing the percentage of chocolate, vanilla, and fruit cakes
sold.
4. Analysis of Data
• Applying statistical tools like averages, percentages, ratios, or correlations to
understand trends.
• Example: Calculating the average number of cakes sold per week or correlation
between promotions and sales.
5. Interpretation of Results
• Explaining the meaning and implications of statistical findings.
• Example: Interpreting that higher sales in December are due to holiday demand.
6. Forecasting
• Predicting future outcomes based on historical data.
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• Example: Planning stock for Diwali festival based on last year’s sales pattern.
7. Decision Making
• Providing a rational basis for business or management decisions.
• Example: Deciding to hire extra staff on weekends when sales peak.
8. Control and Regulation
• Using statistical methods to maintain quality, efficiency, and standards.
• Example: Identifying defective batches in production and minimizing waste.
9. Research Facilitation
• Helping in designing experiments, surveys, and studies.
• Example: Testing a new recipe with a sample group and using results for
improvement.
Characteristics of Business Statistics
1. Numerical Nature: Deals mainly with numbers, data, and measurable facts.
2. Scientific Approach: Uses systematic methods for data collection, analysis, and
interpretation.
3. Decision-Oriented: The ultimate goal is to help managers and businesses make
better decisions.
4. Dynamic: Applicable in changing business conditions, markets, and consumer
behavior.
5. Interdisciplinary: Connects with economics, commerce, sociology, mathematics,
and management.
6. Predictive and Analytical: Helps in forecasting trends and analyzing patterns.
Diagram: Meaning, Scope, and Functions of Statistics
Here’s a simple, visual representation you can include in your notes:
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This diagram shows how the meaning, scope, and functions of statistics are connected
— it’s easy for examiners to understand at a glance.
Conclusion: The Lifeline of Business Decisions
Statistics is much more than numbers. It is the language of business intelligence,
decision-making, and strategy.
Whether it’s a bakery, a multinational company, or a government agency, statistics helps
in:
• Understanding markets and customers,
• Predicting trends and outcomes,
• Planning resources efficiently,
• Controlling quality and costs,
• Making informed decisions in uncertain situations.
Without statistics, businesses would operate on guesswork and chance. With it, they
operate on insight, analysis, and foresight.
So, remember: Statistics transforms numbers into knowledge, and knowledge into
action.
2. Mean, Median, Mode – Calculaon & Relaonship (4 mes)
2021 (Q2), 2022 (Q2), 2023 (Q2), 2024 (Q2)
Repeated numerical from frequency distribuons — guaranteed queson.
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Ans: Meaning of Central Tendency
Central tendency means finding a single value that represents the entire data set. It’s
like summarizing a crowd with one “typical” person.
• Mean → The average (fair share).
• Median → The middle value (the central position).
• Mode → The most frequent value (the popular choice).
1. Arithmetic Mean (The Equal Share Story)
Imagine 5 friends bring chocolates: 2, 4, 6, 8, and 10. They want to share equally.
Step 1: Add them up:
Step 2: Divide by number of friends (5):
So, the mean is 6.
Definition:
Mean
Sum of all observations
Number of observations
Story Analogy: Mean is like dividing a pizza equally among friends—everyone gets the
same share.
2. Median (The Middle Seat Story)
Now imagine the same 5 friends sitting in a row with chocolates: 2, 4, 6, 8, 10.
• The middle friend has 6 chocolates.
• That’s the median.
If there are even numbers, say 2, 4, 6, 8:
• Middle two are 4 and 6.
• Median =
.
Definition: Median is the value that divides the data into two equal halves when
arranged in order.
Story Analogy: Median is like the middle seat in a cinema hall—half the people are on
the left, half on the right.
3. Mode (The Popular Choice Story)
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Now imagine a classroom where students are asked their favorite fruit:
• Mango: 10 students
• Apple: 7 students
• Banana: 5 students
The most popular fruit is Mango. That’s the mode.
Definition: Mode is the value that occurs most frequently in a dataset.
Story Analogy: Mode is like the most popular song on the radio—it plays again and
again because everyone loves it.
Calculation Examples
Example 1: Ungrouped Data
Data: 3, 7, 7, 2, 9
• Mean:
• Median: Arrange → 2, 3, 7, 7, 9 → Middle = 7
• Mode: Most frequent = 7
Example 2: Grouped Data (Frequency Table)
Marks
Frequency
0–10
5
10–20
10
20–30
20
30–40
10
40–50
5
• Mean: Use formula
.
• Median: Find cumulative frequency, locate median class, apply formula.
• Mode: Identify modal class, apply formula.
(For exams, you’d show step-by-step calculations, but the key idea is: mean uses totals,
median uses position, mode uses frequency.)
Relationship Between Mean, Median, and Mode
In a symmetrical distribution (like a perfect bell curve):
Mean Median Mode
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In a moderately skewed distribution (not perfectly symmetrical):
Mean Mode Mean Median
Or rearranged:
Mode Median Mean
Story Analogy: Think of three friends walking in a line. In a perfect world, they walk side
by side (equal). But if one lags or runs ahead (skewness), the relationship formula keeps
track of their distance.
Real-Life Applications
1. Mean: Used in calculating average marks, batting averages in cricket, or per
capita income.
2. Median: Used in income distribution (to avoid distortion by billionaires).
3. Mode: Used in fashion (most popular shoe size), marketing (most sold product),
or transport (most common bus route).
Recap in a Narrative Table
Measure
How It’s Found
Story Analogy
Example
Mean
Sum ÷ Number
Equal pizza slices
Avg. marks in class
Median
Middle value
Middle seat in cinema
Middle income
Mode
Most frequent
Popular song
Most sold shoe size
Wrapping the Story
So, the story of Mean, Median, and Mode is really the story of how we humans try to
find the “typical” in a sea of numbers.
• Mean is fair sharing.
• Median is the middle ground.
• Mode is the popular choice.
Together, they give us a complete picture of data. And their relationship—especially the
formula connecting them—helps us understand whether data is balanced or skewed.
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