How to make a table of the frequency of a number multiplied by the number raised to 3 in R

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Having the following list, I would like the result of the frequency to be multiplied by its index value raised to 3. How could I do it?

data<-c(1,1,2,2,3,34,65,78,65,3)

table(data)

data

 1  2  3 34 65 78 

 2  2  2 1  2  1 

Expected:

 1  2  3 34 65 78 

 2  8*2  27*2 39304*1  274625*2  474552*1 

Thanks

with(rle(sort(data)), lengths*values^3)
#[1]      2     16     54  39304 549250 474552

OR

x = table(data)
x*as.numeric(names(x))^3
#data
#1      2      3     34     65     78 
#2     16     54  39304 549250 474552 

Formula for frequency table, fn = the frequency of the note n half steps away. a = (2)1/12 = the twelth root of 2 = the number which when multiplied by itself 12 times equals 2 =  By Andrie de Vries, Joris Meys . Whenever you have a limited number of different values in R, you can get a quick summary of the data by calculating a frequency table. A frequency table is a table that represents the number of occurrences of every unique value in the variable.

You could consider tapply:

res <- tapply(data, data, function(x) (x[1]^3) * length(x))

#1      2      3     34     65     78 
#2     16     54  39304 549250 474552 

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Note as beautiful as the other answers but a multi-step solution.

Data:

data<-c(1,1,2,2,3,34,65,78,65,3)
data <- as.data.frame(table(data))

Solve the problem:

data$data <- as.numeric(as.character(data$data))
data$powers <- data$data**3
data$final <- data$Freq * data$powers

Result:

  data Freq powers  final
1    1    2      1      2
2    2    2      8     16
3    3    2     27     54
4   34    1  39304  39304
5   65    2 274625 549250
6   78    1 474552 474552

Frequencies, Learn how to use R to create frequency and contingency tables from that there is no three-way interaction. x is a 3 dimensional contingency table, where the last Finally, there may be times that you wil need the original "flat file" data frame  3.1. Basic Operations ¶. Once you have a vector (or a list of numbers) in memory most basic operations are available. Most of the basic operations will act on a whole vector and can be used to quickly perform a large number of calculations with a single command.

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