Solved – How to draw a conditional distribution graph for B given A

Below is a frequency table which has data for testing a theory that students who speak a foreign language are also strong mathematics students.

The question says to draw a graph showing conditional distribution of Math grade with the ability to speak a foreign language and give my conclusions. I computed the conditional distributions of Math grade for students who speak a foreign language and drew the below graph but it was marked incorrect.

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I don not understand why this is incorrect. Do I need to draw a side-by side graph? Something like this?

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Yes, otherwise in the first graph you have conditioned only on one level of the variable "Ability to speak …". In your second graph both levels are shown and you can see the relationship between the grades and the ability to speak a foreign language.

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