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`"Observational Stats" = f(x,y,z,...)`

Enter a value for all fields

The **Observational Statistics **calculator computes the most common observational statistics for columns in a table of data.

**INSTRUCTIONS:** Enter the following:

- (
**x**) Numeric Observations. Enter rows of comma separated numeric values e.g. 4,-1.2,8,9 . To do so, click on the field and- enter the data manual, or
- use cut / copy / paste, or
- upload a csv with a uniform table of real numbers.

- (
**c**) Column Number.

**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

Enter the data in comma separated values with a new line for each record. Note: it is important to be consistent with number of columns when manually entering the data.

One can also upload a CSV (comma separated values) file from your device into this calculator by clicking on the

. button.

Enter the following tabular data and choose a column between 1 and 4:

-56,347,356,147

326,-116,386,-276

23,309,-230,-109

390,49,385,405

-87,289,32,33

-210,382,244,5

-85,206,386,44

318,-294,-16,-294

357,-152,-154,147

482,-16,-241,-191

-85,281,267,280

254,364,352,72

-32,-322,-90,-385

460,434,-89,461

23,49,-243,-42

128,-228,-137,-61

370,-75,32,-287

306,-387,51,33

-23,-282,467,271

You will see the observational statistics for that column.

This calculator is a prominent feature with other statistical functions in the College Level Statistics Calculator (Stat Calc).

**Observational Stats**: This function accepts a table of numbers separated by commas and calculates observational statistics for any of the columns. This includes count, min, max, sum, sum of squares (Σx²), square of the sum (Σx)², mean, median, mode, range, mid point, rand, sort up, sort down, rand, population variance, population standard deviation, the sample/experimental variance, sample/experimental standard deviation.**Frequency Distribution**: This function lets you enter a string of numbers separated by commas, a low and high range and a number of bins. It then computes how many of the observations are in each of the bins between the high and low values designated.**Paired Sample t-test**: This computes the various parameters associated with the Paired Sample t-test.**ANOVA (one way)**: The is one way analysis of variance**(χ**This computes the Chi-Square value for an nxm array of data and provides the degrees of freedom.^{2}) Chi-Square Test:**Linear Regression**: This computes the regression line (least-squares) through a set of X and Y observations. It also computes the regression coefficient (r).**y = a + bx**: This is linear equation used with Linear Regression to predict values of Y.**Wilcoxon Signed Rank Test**: This provides the Wilcoxon statistics and critical value for two groups of numeric observations based on an alpha value and whether it's a one or two tailed test.- Slope-Intercept form of a Line based on two points.
- Slope between two points
- Range value based on the slope-intercept formula of a line and a value of the domain.
- Compute the Probability between z SCORES
- College Level Statistics Calculator (Stat Calc).
- Count of Observations in a Set - this is the number (n) of values in a set.
- Minimum Value in a Set - this is the minimum observed value
- Maximum Value in a Set- this is the maximum value in the set.
- Numeric Sort (up and down) - this returns a comma separated list of the observations in ascending or descending order.
- Create a random subset of the a list of numeric values
- Random number from a range you specify
- Frequency distribution of data.
- Σx - this is the sum of the values in a set.
- Σx² - this is the sum of the squared values
- (Σx)² - this is the square of the summed values.
- Mean
- Median - the middle ordered value
- Mode - the most recurring observation
- Mid Point in a Set - this is the mid point of the observation range.
- Range in a Set - this is the difference between the max and the min.
- Population Variance of the values
- Population standard deviation of the values
- Sample Variance of the values
- Sample Standard Deviation of the values
- Compute the z SCORE based on the mean and standard deviation
- Compute the z SCORE in a set of observations
- Compute the percentile of a single observation (y) in a set (X)
- SDOM - standard deviation of mean
- Percent Relative Standard Deviation

Thanks to Dr. Lee Hammerstrom, professor of math stats at Eastern Nazarene College, for his advice and testing.

The formulas for the statistics are as follows:

`S = sum(x)`

Σx²`= sum(x^2)`

(Σx)² = `(sum(x))^2`

- 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`

- 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)`

- 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))`

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

- 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

- 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.

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