What is a sample size calculator?

A sample size calculator determines the minimum number of survey respondents needed for statistically reliable results. It uses the Cochran formula, accounting for margin of error, confidence level, and population size.

How many respondents do I need for 95% confidence and 5% margin of error?

For an infinite population with 95% confidence and 5% margin of error, you need 384 respondents. For finite populations, the Cochran correction reduces this number.

TAM is the total revenue opportunity. SAM is the portion your product can realistically serve. SOM is your realistic near-term revenue target.

How do you calculate CAGR?

CAGR = (Ending Value / Starting Value) ^ (1 / Years) - 1. For example, a market growing from $500M to $950M over 5 years has a CAGR of 13.7%.

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Market research analytics dashboard with sample size calculations and data charts

Sample Size Calculator

Your parameters

Population size
10K

500100K1M+

Desired margin of error
5%

1% precise5% standard10% broad

Confidence level
95%

Expected response rate
30%

5% cold outreach30% panel100%

Your results

384

minimum respondents needed
for statistical validity

Invitations to send

1,280

Z-score

1.96

Std deviation

0.50

Risk profile

Medium

Precision index

Standard precision — suitable for most consumer surveys

Cochran formula (finite population correction)

n = (Z² × 0.5 × 0.5) / e²
adjusted for finite population N

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Sample size reference table

Common US research configurations — your current selection is highlighted in blue

Margin of error	Confidence	Min. sample	Invitations (30% RR)	Risk	Typical use case

Margin of error

The ± range around your results. At ±5%, if 60% say “yes,” the true answer is between 55–65%. Smaller margin = more invitations needed.

Confidence level

How certain you want to be. At 95%, your results reflect reality 95 times out of 100 if the study were repeated. Industry standard for consumer research.

Why it matters

Too small a sample produces unreliable insights. Too large wastes budget. This calculator finds the statistically optimal number for your research goals.

More Market Research Tools

Market Research Ratio Calculator

TAM/SAM/SOM · CAGR · Market Share · Competitive Analysis · Financial Ratios

Market Sizing — TAM / SAM / SOM

Estimate the total, serviceable, and obtainable market for your product or service.

Total Addressable Market (TAM)

TAM = Total Customers × Avg Revenue per Customer

Total potential customers

Avg annual revenue per customer ($)

TAM

—

TAM = theoretical max revenue if you captured 100% of the market.

Serviceable Addressable Market (SAM)

SAM = TAM × % You Can Realistically Serve

TAM ($)

% of TAM your product can serve

SAM

—

SAM = portion of TAM aligned with your model, geography, and profile.

Serviceable Obtainable Market (SOM)

SOM = SAM × Realistic Market Share %

SAM ($)

Realistic market share you can capture (%)

SOM

—

SOM = your realistic revenue target. Investors focus heavily on this.

Market Penetration Rate

Penetration = (Your Customers / Total Market) × 100

Your current customers

Total customers in the market

Penetration Rate

—

Below 5% = early stage · 5–20% = growth · Above 20% = mature.

Growth Rate Analysis

Calculate CAGR, YoY growth, and projected market size at a future date.

CAGR — Compound Annual Growth Rate

CAGR = (End / Start)^(1/Years) − 1

Starting value ($)

Ending value ($)

Number of years

CAGR

—

Above 20% = high-growth · Below 5% = mature/stable.

Year-over-Year (YoY) Growth

YoY = ((Current − Prior) / Prior) × 100

Prior year value ($)

Current year value ($)

YoY Growth

—

Use YoY for short-term tracking; CAGR for multi-year trends.

Market Size Projection

Future Value = Present × (1 + Growth Rate)^Years

Current market size ($)

Annual growth rate (%)

Years to project

Market Share Analysis

Measure competitive position, relative share, and share of voice.

% Market Share

Market Share = (Your Revenue / Total Market) × 100

Your revenue ($)

Total market revenue ($)

Market Share

—

Relative Market Share (BCG)

Relative Share = Your Share / Largest Competitor Share

Your market share (%)

Largest competitor share (%)

Relative Market Share

—

Share of Voice (SOV)

SOV = (Your Mentions / Total Market Mentions) × 100

Your brand mentions / ad spend

Total market mentions / spend

Share of Voice

—

Share of Wallet

SoW = (Spend with You / Total Category Spend) × 100

Customer spend with you ($)

Total customer category spend ($)

Share of Wallet

—

Competitive Analysis Ratios

Measure market concentration and competitive intensity.

Herfindahl-Hirschman Index (HHI)

HHI = Σ (Market Share of each firm)²

Enter market share (%) of up to 8 competitors.

Player 1 (%)

Player 2 (%)

Player 3 (%)

Player 4 (%)

Player 5 (%)

Player 6 (%)

Player 7 (%)

Player 8 (%)

HHI Score

—

Concentration Ratio (CR4/CR8)

CR4 = Sum of top 4 firms market shares

Enter market shares of the top 8 players.

Player 1 (%)

Player 2 (%)

Player 3 (%)

Player 4 (%)

Player 5 (%)

Player 6 (%)

Player 7 (%)

Player 8 (%)

CR4 / CR8

—

Price Elasticity of Demand

PED = % Change in Quantity / % Change in Price

Old price ($)

New price ($)

Old demand (units)

New demand (units)

Price Elasticity

—

Financial Market Ratios

Key ratios used by analysts to value and benchmark companies within a market.

P/E Ratio

P/E = Market Price per Share / EPS

Market price per share ($)

Earnings per share (EPS) ($)

P/E Ratio

—

P/S Ratio

P/S = Market Cap / Annual Revenue

Market capitalization ($)

Annual revenue ($)

P/S Ratio

—

LTV / CAC Ratio

LTV/CAC = Customer Lifetime Value / Acquisition Cost

Customer Lifetime Value (LTV) ($)

Customer Acquisition Cost (CAC) ($)

LTV/CAC

—

ROI

ROI = ((Net Profit − Cost) / Cost) × 100

Net profit / return ($)

Investment / cost ($)

ROI

—

Results Summary

All calculated values in one place. Fill in the calculators above to populate this table.

Metric	Category	Value	Signal
Complete the calculators above — results appear here automatically.

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