Online Calculator Resource

# Statistics Calculator

Statistics Calculator

## Calculator Use

Calculate and present basic descriptive statistics for a sample data set including minimum, maximum, sum, count, mean, median, mode, standard deviation and variance. Enter 4 or more values and up to 5000 values separated by commas such as 1, 2, 4, 7, 7, 10, 2, 4, 5.

You can also copy and paste lines of data points from documents such as Excel spreadsheets or text documents in the following formats with or without commas:

Acceptable Delimited
Data Formats
Type
Unit
Options
Actual Input Processed
Column (New Lines)
42
54
65
47
59
40
53
42, 54, 65, 47, 59, 40, 53
Comma Separated (CSV)
42,
54,
65,
47,
59,
40,
53,

or

42, 54, 65, 47, 59, 40, 53
42, 54, 65, 47, 59, 40, 53
Spaces
42 54
65 47
59 40
53

or

42 54 65 47 59 40 53
42, 54, 65, 47, 59, 40, 53
Mixed Delimiters
42
54   65,,, 47,,59,
40 53
42, 54, 65, 47, 59, 40, 53

For additional descriptive values see Descriptive Statistics Calculator.

Below is a listing of the statistical values calculated and generally how they are determined with this calculator. Values in a set of data are represented by x1, x2, x3, ... xn.

## Basic Statistics Formulas and Calculations

Minimum
The smallest value in a sample data set.
Maximum
The largest value in a sample data set.
Sum
The total of all data values.
(x1 + x2 + x3 + ... + xn)
Count (n)
The total number of data values in a data set.
Mean
The sum of all of the data divided by the count;
mean = sum / n.
Median
The numeric value separating the higher half of the ordered sample data from the lower half. If n is odd the median is the center value.  If n is even the median is the average of the 2 center values.
Mode
The value or values that occur most frequently in the data set.
Standard Deviation (s)
The square root of the variance;
2√variance or variance = s2
Variance
The sum of the squared differences between data values and the mean, divided by the count - 1;
[ (x1 - mean)2 + (x2 - mean)2 + (x3 - mean)2 + ... + (xn - mean)2 ] / [n - 1]

Cite this content, page or calculator as:

Furey, Edward "Statistics Calculator"; from http://www.calculatorsoup.com - Online Calculator Resource.