Given the following data set, compute the arithmetic mean, median, variance, standard deviation; find the greatest and the smaller value, the sum of all values, the square of the sum of all values, the sum of the square of all values; assigne the ranks and add them, assigning the ranks to the first 6 values and add those.
Extremely simple to perform in R, deliberately created to familiarize with some statistical functions that can serve us in the future. Not carry over mathematical formulas, which you can find in any book of mathematics, or Wikipedia.
a = c(10, 2, 19, 24, 6, 23, 47, 24, 54, 77)
mean(a) #calculate the arithmetic mean
median(a) #calculate the median
var(a) #calculate the variance
sd(a) #calculate the standard deviation
max(a) #shows the larger value of the sequence
min(a) #shows the smallest value of the sequence
sum(a) #sum all the values
sum(a)*sum(a) #calculates the square of the sum of all values
sum(a*a) #calculates the sum of the squares of all values
sum(rank(a)) #sum of ranks assigned to the variables contained in a
sum(rank(a)[1:6]) #sum of ranks assigned to the first 6 values of a