Average Calculator
Type or paste a list of numbers, separated by commas, spaces or new lines, to see the mean, median, mode, range, total, count and standard deviation.
このコンテンツは英語です。
Numbers can be negative or have decimal places. Commas, spaces, semicolons and new lines all separate numbers.
計算例
Mean, median and mode
Values 4, 8, 8 and 10
Mean 7.5, median 8, mode 8.
The median is the average of the two middle values, here 8 and 8, and the mode is the value that appears most often.
Values with no repeat
Values 3, 6 and 9
Mean 6, median 6, and no mode is shown.
No mode is shown when every value appears the same number of times.
Average Calculator について
An average calculator gives you a typical value for a list of numbers, but there is more than one kind of average, and each answers a slightly different question. The mean is the familiar total divided by the count. The median is the middle number once the list is sorted, which is more useful when a few very large or very small numbers would pull the mean away from the middle. The mode is the value that appears most often. Enter your numbers to see all of these together with the sum, the count and the range.
Standard deviation measures how spread out the numbers are around the mean. A small figure means the numbers sit close together, and a large one means they are scattered. Choose the sample version when your numbers are a sample taken from a bigger group, which divides by one less than the count. Choose the population version when the list contains everything you are interested in. Numbers can be separated by commas, spaces or new lines, and can include negative values and decimals.
Average Calculator の使い方
- Type or paste your numbers into the box, separated by commas, spaces or new lines.
- If the calculator reports a value that is not a number, check the list for typing mistakes.
- Choose sample or population for the standard deviation.
- Read the mean, median, mode, range and standard deviation, then copy the result.
主な使いみち
- Finding the average score for a class test or a set of results
- Checking typical monthly spending across a year of bills
- Comparing the spread of measurements in a science experiment
- Summarising survey answers or sales figures for a short report
よくあるご質問
How do I work out the average of a list of numbers?
Add all the numbers together and divide the total by how many numbers there are. For example, the numbers 4, 8, 15, 16, 23 and 42 add up to 108, and there are six of them, so the mean is 18. The calculator does this automatically and also shows the median, mode and range, which describe the same list in other ways.
What is the difference between the mean and the median?
The mean adds everything up and divides, so every number affects the result. The median is the middle value after sorting, so extreme values have little effect. When a list has one very large value, such as one high income among many smaller ones, the median usually gives a better sense of a typical figure. With an even count of numbers, the median is the average of the two middle values.
What is the mode, and when is there no mode?
The mode is the value that occurs most often in the list. Some lists have two or more modes when several values are tied for the most occurrences. If every value appears only once, there is no mode, and the calculator says so. The mode is most useful for categories or repeated measurements, such as the most common shoe size in a group.
When should I use sample rather than population standard deviation?
Use the sample version when your numbers are a subset of a larger group and you want to estimate the spread of that wider group, such as surveying 50 people out of thousands. It divides by one less than the count to allow for the sample being smaller. Use the population version when the list includes every member of the group you care about, such as the test scores of all pupils in one class.
What does the standard deviation tell me?
The standard deviation is a typical distance between each number and the mean. If two lists have the same mean but one has a much larger standard deviation, its values are more spread out. In a set of values that follow a bell-shaped pattern, roughly two thirds sit within one standard deviation of the mean, which helps when you compare results, check quality or spot unusual readings.