## 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)
#      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^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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Loops and Functions in R, We'll start this lesson with this last idea: How can we have R make decisions for us? need to increase the weights of any measurements made in that year by 10%. We've set up an if/else statement to identify whether the first entry in our table is The : will create a numeric list starting at the number before the colon and  This statistics video tutorial explains how to make a simple frequency table and how to use it to calculate the mean, median, mode, and range.

[PDF] simpleR – Using R for Introductory Statistics, As an example, suppose we have the following count of the number of typos per page This tests all the values of typos.draft2 to see if they are equal to 3. 2.2 Suppose you track your commute times for two weeks (10 days) and you 3. The table command simply adds up the frequency of each unique value of the data. Raw data can be arranged in a frequency table. A frequency table shows the number of times each value occurs. The mode is the data with the highest frequency. Example. The following data shows the test marks obtained by a group of students. Draw a frequency table for the data and find the mode.