Test statistic calculator is used to calculate a statistical hypothesis. It helps to understand surveys, observation in terms of possibilities and to analysis information.. The test used are mean, median, mode, range, minimum, maximum, harmonic mean, geometric mean, variance, corrected variance, standard deviation, relative standard deviation, coefficient of variation, mean and median deviation, also Skewness.
Example 1: Compute mean, median and range for these set of numbers, 1,2,3,4,5,6,7,8,9,10.
Mean : We need to add up all the numbers and divide the answer by number of values in the data. Therefore when we add we get = 55/10 = 5.5
Mean = 5.5
Range : We need find the lowest and the highest value of the data and then subtract them to get the range.
Range = 9
Median : We need to put the numbers in order and find the middle value. When we have even values we find the mean of the 2
Example 2: Compute mean, variance and standard deviation for these set of numbers 600, 170, 430, 300
Mean : add up all the numbers and divide the answer by number of values.
Mean = 1500/5 = 300
Variance : Take difference of each value with mean, square the answers and find the average.
Value – mean : 300, -130, 130, 0
Variances (xi-mean)2=90000+16900+16900+0 =123800/4 =30950
Standard deviation : We find the square root of the variance
√30950 = 175.9261208575918 = 175.9.