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Question:

100 surnames were randomly picked up from a local telephone directory and a frequency distribution of the number of letters in the English alphabet in the surnames was found as given in the table. (i) Draw a histogram to depict the given information. (ii) Write the class interval in which the maximum number of surnames lie.

Solution:

To answer this question, we need the table mentioned in the question. The question states that a frequency distribution table is given, showing the number of surnames with a certain number of letters. Without that table, we cannot (i) draw a histogram or (ii) determine the class interval with the maximum number of surnames.

To complete the solution:

  1. Provide the frequency distribution table. The table should have two columns: one for the number of letters in the surname (class interval) and the other for the frequency (number of surnames with that number of letters).

  2. Drawing the Histogram: Once you provide the table, I can help you create the histogram. A histogram is a bar graph where the width of each bar represents the class interval (number of letters), and the height represents the frequency. The bars should be adjacent to each other.

  3. Finding the Class Interval with Maximum Surnames: After creating the histogram (or by simply examining the frequency table), we can easily identify the class interval (range of number of letters) that has the highest frequency (i.e., the most surnames). This will be the answer to part (ii).