GraphModerate1 mark
10(b)
The daily wages of 80 workers in a project are given below. Use a graph paper to draw an ogive for the above distribution. (Use a scale of 2 cm = Rs. 50 on x-axis and 2 cm = 10 workers on y-axis). Use your ogive to estimate:
the lower quartile wage of workers
Topic: Reflection and plotting
Previous-year question practice database
Answer
Solution diagram
Exam answer
Total workers: N = 80
Lower quartile position:
Q₁ corresponds to N/4
= 80/4
= 20th observation
On the ogive, locate cumulative frequency 20 and read the corresponding wage.
The graph gives approximately ₹550.
Answer:
Lower quartile wage ≈ ₹550.
Explanation
The lower quartile is the x-value corresponding to one-quarter of the total cumulative frequency. Here the 20th observation is read from the ogive.
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