Answer :
Final answer:
The P50 value for the given data is 60-80 ₹.
Explanation:
To find the P50 for the given data, we need to arrange the wages in ascending order and calculate the cumulative frequency.
Arrange the wages in ascending order: 0-20, 20-40, 40-60, 60-80, 80-100.
Calculate the cumulative frequency by adding up the number of workers:
For the first interval (0-20), the cumulative frequency is 4.
For the second interval (20-40), the cumulative frequency is 4 + 6 = 10.
For the third interval (40-60), the cumulative frequency is 10 + 10 = 20.
For the fourth interval (60-80), the cumulative frequency is 20 + 25 = 45.
For the fifth interval (80-100), the cumulative frequency is 45 + 15 = 60.
Calculate the P50 value:
The P50 value is the median, which is the middle value when the data is arranged in ascending order.
Since we have 60 data points (total cumulative frequency), the middle value is the 30th data point.
Looking at the cumulative frequency, we can see that the 30th data point falls within the fourth interval (60-80).
Therefore, the P50 value is 60-80 ₹.
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