The Simple 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 following tabular data and choose a column between 1 and 4:
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
- (χ2) Chi-Square Test: This computes the Chi-Square value for an nxm array of data and provides the degrees of freedom.
- 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 - the is the mean (average) of the observed values
- 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
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)`
sum of squares
square of the sum
(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 |`
Statistics in Culture
"There are three kinds of lies: lies, damn lies and statistics." Mark Twain