Two data sets of 23 integers each are summarized in the histograms shown. For each of the histograms, the first interval represents the frequency of integers greater than or equal to 10, but less than 20. The second interval represents the frequency of integers greater than or equal to 20, but less than 30, and so on.

Data Set A contains values between 20 and 60.
Data Set B contains values between 10 and 50.

What is the largest possible difference between the mean of data set A and the mean of data set B?