Settings#
popular sets (click to use):decimal,octal,hexadecimal |
Show detailed settings:
Enter your numbers here#
Data summary#
How many numbers detected | 3 | |
Detected numbers | 2, 10, 3.3 | |
Numbers base | 10 (decimal) | |
Skipped characters | none |
Results - average and median of given numbers#
Average | 5.1 | |
Median | 3.3 | |
Numbers used to compute median | 2, 3.3, 10 |
What else can we calculate about your numbers#
The numbers sorted in ascending order | 2, 3.3, 10 | |
The numbers sorted in descending order | 10, 3.3, 2 | |
Minimal number | 2 | |
Maximal number | 10 | |
Sum | 15.3 | |
Variance | 12.28666666666666666667 | |
Standard deviation | 3.50523418143020319753 | |
Numbers in words (digit by digit) |
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Numbers in words (whole number at once) |
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Some facts#
- To calculate the arithmetic average (mean) we need to sum up all numbers and divide them by number of numbers.
- Example: average from numbers {1,2,3} is 2, because (1+2+3)/2 = 6/2 = 3.oconomy, sociology, geography, chemistry, medicine, psychology and the like.
- It is common to measure the same parameter (e.g. temperature) few times and then compute average from all results.
- The concept of mean can become useless when we have big difference in input values. For example average salary in given region usually doesn't fit to typical earnings of single, real person. However, average salary can still be useful in some cases eg. when we want to compare average earnings in different regions.
- Average can be used to detect measurement errors or some abnormal situations. For example, it is common to remove one of measuring points if it differs too much from average.
- Arithmetic average (mean) is part of statistic science.
- There are more kinds of average e.g. geometric, harmonic, logaritmic etc.
- To compute median we need to sort numbers in ascending order and then choose one (even number of numbers) or two (odd number of numbers) elements from list.
- ⓘ Example: (odd number of numbers): Median from numbers {3,1,2} is 2, because:
- Numbers in ascending order: {1,2,3},
- The middle number is 2.
- Numbers in ascending order: {1,2,3},
- ⓘ Example: (even number of numbers): Median from numbers {4,1,2,3} is 2.5, because:
- Numbers in ascending order: {1, 2, 3, 4},
- Two middle numbers are: 2 and 3,
- The average from middle numbers is:(2+3)/2 = 2.5
- Numbers in ascending order: {1, 2, 3, 4},
- ⓘ Hint: Are you looking for statistical calculators? See also:
- Numbers: min-max - the lowest and the greatest number in the set,
- Numbers: average & median - more about average (mean) and median,
- Numbers: variance and standard deviation - more about variance and standard deviation,
- Math tables: statistics - statistics related formulas.
- Numbers: min-max - the lowest and the greatest number in the set,
What is the meaning of each calculator field ?#
- Enter your numbers here - enter numbers, which you're going to use to calculate average and median.
- You can use almost any format you want, numbers can be separated by spaces, commas, semicolons, dashes, end of lines (enters) etc. - it's up to you and your needs.
More, you can even paste a long text - even lyrics - as long as it contains some numbers. The numbers will be automatically detected, "trapped" and added together. - cipher manipulation
- fill with zeros up to XX ciphers after comma - append zeros at the end of the number, if this number does not have enough digits after the decimal point. For example, if you set here 3, it will show number 15 as 15.000, and the number 15.55 as 15.550.
A good example of use case is counting the money (accounting), where we have dollars and cents or euros and eurocents. Just type 2 here, and the calculator will supply always two digits after the decimal pennies. - consider only XX ciphers after the comma - simply cut the number (of the least accurate part), if the number of digits after the decimal point is greater than desired. For example, to show only decimal, enter here 1. For hundredths enter 2.
- fill with zeros up to XX ciphers after comma - append zeros at the end of the number, if this number does not have enough digits after the decimal point. For example, if you set here 3, it will show number 15 as 15.000, and the number 15.55 as 15.550.
- input parser
- decimal separators - a list of characters that should be interpreted as decimal separators (colloquially "dot" or "comma" between integer and fraction parts). For example, if you want to treat 1.25 as "one and twenty-five hundredths," you should put comma character here (",").
- ignored characters - a list of characters that should be ignored while splitting input text into separated numbers. For example, if you want to treat "100 000" as "one hundred thousand", you should put space character here (" "). Similarly, if you have list of hexadecimal numbers in 0x1234 format, you can ignore "x" character, to process them correctly.
- decimal separators - a list of characters that should be interpreted as decimal separators (colloquially "dot" or "comma" between integer and fraction parts). For example, if you want to treat 1.25 as "one and twenty-five hundredths," you should put comma character here (",").
- computer related
- number base - This calculator works for the number systems based on any base from 2 to 36. It supports the typical systems as decimal, hexadecimal, octal and binary.
It also allows for calculation of exotic systems (eg. with base 17), up to the base of 36. The order of the characters is consistent with the English alphabet, so starts with 'a', ends with 'z'. 26 letters plus 10 digits gives max base of 36. Of course both upper case and lower case are allowed - input is case insensitive.
- number base - This calculator works for the number systems based on any base from 2 to 36. It supports the typical systems as decimal, hexadecimal, octal and binary.
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