Given a number set, and an optional probability set, this calculates the following statistical items:

Expected Value

Mean = μ

Variance = σ^{2}

Standard Deviation = σ

Standard Error of the Mean

Skewness

Mid-Range

Average Deviation (Mean Absolute Deviation)

Median

Mode

Range

Pearsons Skewness Coefficients

Entropy

Upper Quartile (hinge) (75th Percentile)

Lower Quartile (hinge) (25th Percentile)

InnerQuartile Range

Inner Fences (Lower Inner Fence and Upper Inner Fence)

Outer Fences (Lower Outer Fence and Upper Outer Fence)

Suspect Outliers

Highly Suspect Outliers

Stem and Leaf Plot

Ranked Data Set

Central Tendency Items such as Harmonic Mean and Geometric Mean and Mid-Range

Root Mean Square

Weighted Average (Weighted Mean)

Frequency Distribution

Successive Ratio

This calculator has 2 inputs.

Expected Value

Mean = μ

Variance = σ

Standard Deviation = σ

Standard Error of the Mean

Skewness

Mid-Range

Average Deviation (Mean Absolute Deviation)

Median

Mode

Range

Pearsons Skewness Coefficients

Entropy

Upper Quartile (hinge) (75th Percentile)

Lower Quartile (hinge) (25th Percentile)

InnerQuartile Range

Inner Fences (Lower Inner Fence and Upper Inner Fence)

Outer Fences (Lower Outer Fence and Upper Outer Fence)

Suspect Outliers

Highly Suspect Outliers

Stem and Leaf Plot

Ranked Data Set

Central Tendency Items such as Harmonic Mean and Geometric Mean and Mid-Range

Root Mean Square

Weighted Average (Weighted Mean)

Frequency Distribution

Successive Ratio

This calculator has 2 inputs.

- Root Mean Square = √A/√N
- Successive Ratio = n
_{1}/n_{0} - μ = ΣX
_{i}/n - Mode = Highest Frequency Number
- Mid-Range = (Maximum Value in Number Set + Minimum Value in Number Set)/2
- Quartile: V = y(n + 1)/100
- σ
^{2}= ΣE(X_{i}- μ)^{2}/n

For more math formulas, check out our Formula Dossier

- average deviation
- Mean of the absolute values of the distance from the mean for each number in a number set
- basic statistics
- central tendency
- a central or typical value for a probability distribution. Typical measures are the mode, median, mean
- entropy
- refers to disorder or uncertainty
- expected value
- predicted value of a variable or event

E(X) = Σx_{I}· P(x) - frequency distribution
- frequency measurement of various outcomes
- inner fence
- ut-off values for upper and lower outliers in a dataset
- mean
- A statistical measurement also known as the average
- median
- the value separating the higher half from the lower half of a data sample,
- mode
- the number that occurs the most in a number set
- outer fence
- start with the IQR and multiply this number by 3. We then subtract this number from the first quartile and add it to the third quartile. These two numbers are our outer fences.
- outlier
- an observation that lies an abnormal distance from other values in a random sample from a population
- quartile
- 1 of 4 equal groups in the distribution of a number set
- range
- Difference between the largest and smallest values in a number set
- rank
- the data transformation in which numerical or ordinal values are replaced by their rank when the data are sorted.
- sample space
- the set of all possible outcomes or results of that experiment.
- standard deviation
- a measure of the amount of variation or dispersion of a set of values. The square root of variance
- stem and leaf plot
- a technique used to classify either discrete or continuous variables. A stem and leaf plot is used to organize data as they are collected. A stem and leaf plot looks something like a bar graph. Each number in the data is broken down into a stem and a leaf, thus the name.
- variance
- How far a set of random numbers are spead out from the mean
- weighted average
- An average of numbers using probabilities for each event as a weighting