Calculating the Number of Respondents You Need
To calculate the number of respondents you need (known as your sample size), use our sample size calculator.
The number of respondents you need depends on your survey goals and how confident you want to be in your results. The more confident you want to be, the less of a margin of error you should accept.
Definitions
To calculate your sample size, you'll need to know the following information:
size of the entire population you wish to represent.
Your population is the group you're interested in making conclusions about. Your sample is the group you're surveying.
Think about the potential size of your target population. For example, if you're sending a survey to male iPhone users in California, you may need to do some research to determine how many total men fit that criteria.
A confidence level tells you how reliable a measure is. Common standards used by researchers are 90%, 95%, and 99%.
A 95% confidence level means if the same survey were to be repeated 100 times under the same conditions, 95 times out of 100 the measure would lie somewhere within the margin of error.
Margin of error tells you how much error surrounds a measure. It's a percentage that describes how much the opinions and behavior of the sample you survey is likely to deviate from the total population.
For example, let's say we asked 400 people if they have a favorable or unfavorable opinion of Barack Obama and 55% say favorable.
Using a 95% confidence level and ±5% margin of error, if we repeated this survey 100 times under the same conditions, 95 out of 100 times, the response would be somewhere between 50% and 60%.
The smaller the margin of error is, the closer you are to having the exact answer at a given confidence level.
In general, the larger your sample size, the lower the margin of error. The closer your sample is in size to your population, the more representative your results are likely to be. And that’s why you’ll notice that the recommended sample size in the table below gets smaller as your tolerance for error gets larger.
To calculate your margin of error, use our margin of error calculator.
Calculating Sample Size
Calculate the number of respondents you need in seconds using our sample size calculator.
If you’d like to do the sample size calculation by hand, use the following formula:
Statistic

Description


N  The population size 
e  Margin of error (as a decimal) 
z  A zscore measuring the number of standard deviations a given proportion is away from the mean. For a 95% confidence level, use 1.96 as your zscore. 
Suggested Sample Sizes
Below is a table with suggested population sizes* by margin of error at a 95% confidence level.
Population Size  Sample Size per Margin of Error  

±3%

±5%

±10%
 
500

345

220

80

1,000

525

285

90

3,000

810

350

100

5,000

910

370

100

10,000

1,000

385

100

100,000+

1,100

400

100

* We used the above formula to calculate the suggested sample sizes. In some cases, we rounded the sample sizes up to the nearest 5 or 10. For a more exact calculation, use our sample size calculator.
You're sending a survey with a Yes or No question asking if parents of children at your school are in favor of an extended school day.
The total number of parents (your population size) is 10,000 and you're comfortable with a ±10% margin of error. Using the table above, you can see you'll need at least 100 people to take your survey.
70% of the 100 parents surveyed answered that they are in favor of an extended school day. This means you can assume that if all 10,000 parents answered the survey, between 60% to 80% of people would be in favor of an extended school day.
How many people should I ask to take my survey?
Your response rate may affect the number of people you send your survey to. The higher the response rate, the fewer people you need to ask to take your survey.
For example, if you need 100 respondents and you expect 25% of the people invited to take your survey will actually respond, then you need to invite 400 people to take your survey.
To calculate the number of people you need to invite to take your survey based on your expected response rate, use the following equation:
# of respondents you need
x 100 expected % response rate 