What is the difference between frequency table and frequency distribution table?

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A frequency table is a table in which (usually) the rows represent categories or values of x and the columns represent the number of items or observations that fall into that x/category/range. It is merely a way of organizing your data, and this works for both qualitative and quantitative data. For example, if you had a class of 15 students and asked them their favorite color, you could get something like:blue 5red 4yellow 2green 2purple 1orange 1A frequency distribution is the graphical representation of a frequency table. This is where you can only use qualitative data because categories do not exist in a continuum and therefore cannot be accurately plotted along the x-axis. If you did want to graph people's favorite colors, you would have to convert your categories into something quantifiable, such as wavelength. The closest thing to a frequency distribution you can make with qualitative data is a bar graph.