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Q104 (CAPF/2009) Economy › Growth, Development, Poverty & Employment › Employment trends India Answer Verified

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 ?

Result
Your answer: —  ·  Correct: D
Explanation

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
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SIMILAR QUESTIONS

IAS · 1999 · Q146 Relevance score: 2.92

In an office, the distribution of work hours is as shown in the following table.Consider the following inferences drawn from the table :
I. The average number of hours worked by a staff member is about 30.
II. The percentage of those who worked 35 or more hours is less than 25.
III. At least 5 staff members worked more than 44 hours.
Which of these inferences is/are valid ?

No. of Staff Members | No. of hours worked
5 | 0 - 19
1 | 20 - 24
25 | 25 - 29
40 | 30 - 34
15 | 35 - 39
8 | 40 - 45

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