# Guesstimate — Estimate the number of schools in Delhi

## Welcome to Day 1/30 of Mastering Guesstimates

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This is one of the very first guesstimate that I solved with one of my Senior, Over the time I have evolved the approach of solving this particular guesstimate. Here I’ll be discussing two approaches to solve this particular guesstimates.

*Q. Guesstimate the number of schools in Delhi.*

As told in the last article, *Guesstimates — Why, What & How?** *The first step in solving the guesstimates involves asking logical questions to scope down the problem.

**Clarifying Questions**

- Are we talking about Delhi or Delhi NCR? (this will affect the overall number and our approach as whole, so it’s good to clarify this)
- Senior Secondary Schools i.e. from Kindergarten to 12th class or Play Schools, or Schools till some specific class or all? (here we are clarifying the type of school)
- Government Schools or Private Schools or both?

Answer. Consider Delhi for now, calculate for Senior Secondary Schools and take both, Government Schools and Private Schools into consideration

**Approach 1**

**Assumptions:**

- Population of Delhi is 3 Crores.

**Solution:**

Population = 3 Cr

Age-Wise Splitting of Population

Potential **school going population** comes out to be **75 Lakhs**

Taking into consideration the **below poverty households, households against female education**, we will be further **eliminating a 10% factor from this 75 lakhs**, i.e. **~69 lakhs**

**Dividing schools into 3 types:**

- Heavy Intake: (14 Classes, 7 Sections per class, 30 Students per section) ~2900 students
- Medium Intake: (14 Classes, 4 Sections per class, 30 Students per section) ~1600 students
- Low Intake: (14 Classes, 2 Sections per class, 30 Students per section) ~900 students

Taking Average: (2900+1600+900)/3 = **~1800 students per school**

**Number of Schools in Delhi = Total school going population / Number of students per school**

**Number of Schools in Delhi = 69 lakhs / 1800 = ~3900 Schools**

## Approach 2

**Assumptions:**

- Area of Delhi is 1500 sq Km.
- Delhi is divided into about 250 wards.

**Solution:**

Area of one ward = Area of Delhi / Number of wards

Area of one ward = 1500/250 = 6 sq km

Now, just imagine that in an area of 6 sq km around you, how many schools are there, considering my example there are about 16 schools around me.

**Number of Schools in Delhi = Number of schools in one ward x Number of wards**

**Number of Schools in Delhi = 16 x 250 = 4000 Schools**

Note: As per Google, currently there are about 5000 schools in Delhi.

Thank you for taking time to go through this guesstimate. I value your feedback and would greatly appreciate your thoughts. Please feel free to share your feedback in the comments below.

Stay tuned for **Day 2/30 of Mastering Guesstimates**, Until then, let curiosity be your guide and let the adventure begin!

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