Here are some notes about how to create, change , and plot data stored by lists. Many examples come from the book An Elementary Introduction To The Wolfram Language.
Make a plot of the first 10 squares, starting at 1.
ListPlot[Range[10]^2]
Make a combined list of the first 5 squares and cubes (numbers raised to the power 3), sorted into order
Sort[Join[Range[5]^2, Range[5]^3]]{1, 1, 4, 8, 9, 16, 25, 27, 64, 125}
Find the number of digits in 2^128.
IntegerDigits[2^128]{3, 4, 0, 2, 8, 2, 3, 6, 6, 9, 2, 0, 9, 3, 8, 4, 6, 3, 4, 6, 3, 3, 7, 4, 6, 0, 7, 4, 3, 1, 7, 6, 8, 2, 1, 1, 4, 5, 6}
Length[IntegerDigits[2^128]]39
Find the first 10 digits in 2^100
Take[IntegerDigits[2^100], 10]{1, 2, 6, 7, 6, 5, 0, 6, 0, 0}
Find how many zeros appear in the digits of 2^1000
Count[ IntegerDigits[2^1000], 0]28
Make a line plot of the sequence of digits that appear in 2^128
IntegerDigits[2^128]{3, 4, 0, 2, 8, 2, 3, 6, 6, 9, 2, 0, 9, 3, 8, 4, 6, 3, 4, 6, 3, 3, 7, 4, 6, 0, 7, 4, 3, 1, 7, 6, 8, 2, 1, 1, 4, 5, 6}
ListLinePlot[IntegerDigits[2^128]]
Use Take and Drop to get the sequence 11 through 20 from Range[100]
Drop[Take[Range[100], 20], 10]{11, 12, 13, 14, 15, 16, 17, 18, 19, 20}
Make a list of the first 10 multiples of 3
Range[10]*3{3, 6, 9, 12, 15, 18, 21, 24, 27, 30}
Make a pie chart of the sequence of digits that appear in 2^32.
PieChart[IntegerDigits[2^32]]
Make a list of pie charts for the sequence of digits in 2^20, 2^40, 2^60
List[PieChart[IntegerDigits[2^20]], PieChart[IntegerDigits[2^40]], PieChart[IntegerDigits[2^60]]]
