Directions : The graph given below shows the daily income of 50 workers in a…

2025

Directions : The graph given below shows the daily income of 50 workers in a factory.

Study the graph and answer the questions.

The median wages in the factory is:

  1. A.

    Rs. 140

  2. B.

    Rs. 138

  3. C.

    Rs. 150

  4. D.

    Rs. 160

Attempted by 7 students.

Show answer & explanation

Correct answer: B

Step-by-Step Solution

To find the median wage, we identify the income value corresponding to the middle worker in the dataset.

  1. Understand the Graph:

    • The X-axis represents Daily Income (in Rs.).

    • The Y-axis represents the Cumulative Number of Workers.

    • The graph shows a total of 50 workers.

  2. Locate the Median Position:

    • For a set of 50 workers, the median position is the average of the 25th and 26th worker.

    • Mathematically, this is the position at (N / 2) = 50 / 2 = 25.

  3. Find the Corresponding Income:

    • Look for the value 25 on the Y-axis (Number of Workers).

    • Trace horizontally from 25 to the graph line.

    • Trace vertically down from that point to the X-axis (Daily Income).

    • The intersection point on the X-axis falls between 120 and 140, specifically closer to 140. Given the curve's trajectory, the median value is approximately Rs. 138.

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