Calculate basic summary statistics for a sample or populace data set including minimum, maximum, sum, standard deviation, mean, median, mode, and variance.
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Ordering a data set from lowest to highest value, x1 ≤ x2 ≤ x3 ≤ ... ≤ xn, the minimum is the smallest value in the data set, x1. The formula for minimum is:
Min=x1=min(xi)ni=1
Ordering a data set from lowest to highest value, x1 ≤ x2 ≤ x3 ≤ ... ≤ xn, the maximum is the largest value in the data set, xn. The formula for maximum is:
Max=xn=max(xi)ni=1
Ordering a data set from lowest to highest value, x1 ≤ x2 ≤ x3 ≤ ... ≤ xn, the median is the value separating the upper half of the ordered 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.
The mode is the value or values that occur most frequently in the data set. Count the number of times each value in a data set occurs. The mode is the data value with the highest count.
Standard deviation is a measure of dispersion of data values about the mean. The formula for standard deviation is the square root of the sum of squared differences from the mean divided by the size of the data set.
Variance measures dispersion of data from the mean. The formula for variance is the sum of squared differences from the mean divided by the size of the data set.