Simple Stats

The Simple Statistics calculator computes the most common observational statistics for a set of comma separated numbers.. 

INSTRUCTIONS: Enter the following:

• (x) Numeric Observations.  Enter comma separated numeric values e.g. (4,-1.2,8,9).

STATISTICS: The calculator returns the descriptive statistics below for the identified column.  

• count - number (n) of values in the column.
• min - minimum value
• max - maximum value
• sum(Σx)  - sum of the values in a set.
• Σx² - sum of the squared values
• (Σx)² - square of the summed values.
• mean - mean (average) of values
• median - middle ordered value
• mid point - mid point of value range
• mode - most frequent observation
• range - difference between the max and the min.
• MAD -  Mean Absolute Deviation
• SDOM - Standard Deviation of Mean
• sort up - values in ascending order.
• sort down - values in descending order.
• var-pop - population variance of the values
• sd-pop - population standard deviation of the values
• var-sample - sample variance of the values
• sd-sample - sample standard deviation of the values

How to Enter Data

Enter the data in comma separated values

The Math

The formulas for the statistics are as follows:

sum

     `S = sum(x)`

sum of squares

      Σx²`= sum(x^2)`

square of the sum

     (Σx)² = `(sum(x))^2`

averages

• mean:     `mu = (sum(x))/n`  where n is the number of observations
• median:  middle value if in an odd number of observations.  If there is an even number of observations, it's the average of the two middle values.
• mid-point:  `mp = (min + max)/2`

variance

• Population Variance: `sigma^2 = (sum_1^n(x_n-mu)^2)/n`
• Sample Variance: `sigma^2 = (sum_1^n(x_n-mu)^2)/(n-1)`

standard deviation

• Population Standard Deviation:   `sigma = sqrt((sum_1^n(x_n-mu)^2)/n)`
• Sample Standard Deviation:   `sigma = sqrt((sum_1^n(x_n-mu)^2)/(n-1))`

Mean Absolute Deviation

• MAD = `1/n sum_(i=1)^n | x_i - barx |`

Statistics Calculators

• Stats Calc - Complete set of entry level college statistics functions
• Simple Stats - Complete set of Observational statistics for a set of data
• Linear Regression - Least-squares trend line for a set of data
• One Way ANOVA - One way Analysis of Variance for three sets of data

Growth Calculators

• Logistic Growth
• Malthusian Growth Model
• Organism Count (Logistic Growth)
• Max Potential Growth Rate (biotic potential)
• How Many Ancestors
• Simple Stats Calc - Simple observation statistics (see below)
• Math Statistics Calc - College level statistics and regression calculator.

Statistics in Culture

"There are three kinds of lies: lies, damn lies and statistics."   Mark Twain