To determine the modal class of the given data, we follow these steps:
1. Identify the Classes and Frequencies:
- The classes (wage ranges) given are:
- 500-600
- 600-700
- 700-800
- 800-900
- 900-1000
- 1000-1100
- The frequencies (number of workers corresponding to each class) are:
- 3 workers (500-600)
- 5 workers (600-700)
- 6 workers (700-800)
- 2 workers (800-900)
- 3 workers (900-1000)
- 1 worker (1000-1100)
2. Find the Class with the Maximum Frequency:
- We need to locate the class that has the highest number of workers.
- Looking at the frequencies, we see:
- 3, 5, 6, 2, 3, 1
- Among these, the maximum frequency is 6.
3. Determine the Modal Class:
- The modal class is the class interval corresponding to the highest frequency.
- The highest frequency 6 corresponds to the class 700-800.
Hence, the modal class of the given data is 700-800.