Q.Complete :
Classification of Data :

• Quantitative classification

Data Classification Methods – A First Look

Imagine you walk into a library with thousands of books. If they were all piled together, you'd never find anything. But if they're sorted — fiction here, non-fiction there; then by author's last name; then by shelf number — suddenly the chaos becomes manageable. That sorting is classification.

In Economics, data classification is exactly that: organising raw, messy information into meaningful groups so we can analyse it, spot patterns, and draw conclusions. Without classification, a pile of numbers about income, prices, or employment is just noise.

What Is Data Classification?

Data classification means arranging statistical data into groups or classes based on common characteristics. The goal is to reduce complexity without losing essential information.

For example, if you have the monthly incomes of 100 families, you don't list all 100 numbers separately. Instead, you group them: families earning ₹5,000–₹10,000, ₹10,001–₹15,000, and so on. Each group is a class, and the number of families in each class is its frequency.

Why Classify Data in Economics?

Economics deals with aggregates — total output, average income, price levels. You cannot study an entire economy one household at a time. Classification lets you:

• Summarise large datasets into a few meaningful numbers
• Compare different groups (e.g., rural vs urban incomes)
• Identify trends (e.g., most people earn between ₹10,000 and ₹20,000)
• Compute further statistics like mean, median, mode — which require grouped data

Without classification, even a simple average of 10,000 incomes would be tedious. With it, you can calculate the mean in minutes.

Two Main Methods of Classification

Economics textbooks (including NCERT) present two broad approaches:

1. Qualitative Classification

Data is grouped by attributes — qualities that cannot be measured numerically but can be categorised.

Examples:

• Gender (male / female)
• Occupation (farmer / teacher / trader)
• Region (urban / rural)
• Literacy (literate / illiterate)

This is also called classification according to attributes. The categories are mutually exclusive — a person cannot be both male and female, or both urban and rural.

2. Quantitative Classification

Data is grouped by numerical values — quantities that can be measured. This is what most people think of when they hear "data classification" in statistics.

Examples:

• Age (0–10, 11–20, 21–30 …)
• Income (₹0–₹5,000, ₹5,001–₹10,000 …)
• Marks scored (0–25, 26–50, 51–75 …)

This is called classification according to class intervals. Each class has a lower limit and an upper limit.

Key Terms in Quantitative Classification

When you create classes, you need to decide:

• Number of classes — too few and you lose detail; too many and you gain nothing. A rule of thumb: between 5 and 15 classes for most datasets.
• Class width — the difference between the upper and lower limit of a class. Ideally, all classes have the same width.
• Class limits — the smallest and largest values that can belong to a class. For example, in the class 10–20, 10 is the lower limit and 20 is the upper limit.
• Class boundaries — the real limits that avoid gaps between classes. If data is continuous (like height or time), a value of exactly 20 could belong to either 10–20 or 20–30. Boundaries fix this: 9.5–20.5, 20.5–30.5, etc.
• Frequency — the number of observations falling in each class.

A Simple Example

Suppose you have the following monthly incomes (in ₹) of 10 workers:

8,000 12,000 9,500 15,000 11,000

7,500 14,000 10,500 13,000 16,000 …