Question

To draw a histogram to represent the following frequency distribution: | Class interval | 5–10 | 10–15 | 15–25 | 25–45 | 45–75 | |----------------|------|-------|-------|-------|-------| | Frequency | 6 | 12 | 10 | 8 | 15 | The adjusted frequency for the class 25–45 is

A random survey of the number of children of various age groups playing in a park was found as follows: | Age (in years) | Number of children | |----------------|--------------------| | 1 - 2 | 5 | | 2 - 3 | 3 | | 3 - 5 | 6 | | 5 - 7 | 12 | | 7 - 10 | 9 | | 10 - 15 | 10 | | 15 - 17 | 4 | Draw a histogram to represent the data above.

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 follows: | Number of letters | Number of surnames | |-------------------|--------------------| | 1 - 4 | 6 | | 4 - 6 | 30 | | 6 - 8 | 44 | | 8 - 12 | 16 | | 12 - 20 | 4 | (i) Draw a histogram to depict the given information. (ii) Write the class interval in which the maximum number of surnames lie.

The frequency distribution: Marks 0-20, 20-40, 40-60, 60-100; Number of Students 10, 15, 20, 25 has been represented graphically as follows: Do you think this representation is correct? Why?