Mathematics

100 surnames were randomly picked up from a local telephone directory and the frequency distribution of the number of letters in the English alphabets in the surnames was obtained as follows :

Number of lettersNumber of surnames
1 - 46
4 - 730
7 - 1040
10 - 1316
13 - 164
16 - 194

Determine the median number of letters in the surnames. Find the mean number of letters in the surnames? Also, find the modal size of the surnames.

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