Distribution of work hours in a factory is shown in the below given table : Number of Number of workers hours worked 20 45—50 15 40—44 25 35—39 16 30—34 4 00—29 What is the percentage of workers worked for 40 or more hours ?

To find the percentage of workers who worked for 40 or more hours, we analyze the provided frequency distribution. The workers in the '40—44' and '45—50' hour categories meet the criteria. According to the table, there are 15 workers in the 40—44 range and 20 workers in the 45—50 range. Summing these gives 35 workers. Next, calculate the total number of workers by summing all frequencies: 20 + 15 + 25 + 16 + 4 = 80 workers. As defined in statistical principles, the total frequency represents the total observations [t1]. The percentage is calculated as (Number of workers ≥ 40 hours / Total workers)!!! 100, which is (35 / 80)!!! 100 = 43.75%. This method of organizing data into class intervals to find relative frequencies is a standard practice in grouped frequency tables [t6].

Sources

1. [1] https://gacbe.ac.in/pdf/ematerial/18BGE14A-U2.pdf