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 surnames1−464−7307−104010−131613−16416−194Determine 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.

100 surnames were randomly picked up from a local telephone directory

1.	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 surnames1−464−7307−104010−131613−16416−194Determine 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.
Answer» 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: $\begin{matrix} N u m b e r o f l e t t e r s & N u m b e r o f s u r n a m e s 1 - 4 & 6 4 - 7 & 30 7 - 10 & 40 10 - 13 & 16 13 - 16 & 4 16 - 19 & 4 \end{matrix}$ 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.