GraphModerate1 mark
11(b)
Use Graph paper for this question. A survey regarding height (in cm) of 60 boys belonging to Class 10 of a school was conducted. The following data was recorded: Taking 2 cm = height of 10 cm along one axis and 2 cm = 10 boys along the other axis draw an ogive of the above distribution. Use the graph to estimate the following:
the median
Topic: Histogram / ogive / graphical representation
Previous-year question practice database
Answer
Solution diagram
Exam answer
Total number of boys: N = 60
Median position:
N/2 = 60/2 = 30th observation
From the ogive, the x-coordinate corresponding to cumulative frequency 30 is approximately 150 cm.
Answer:
Median height ≈ 150 cm.
Explanation
The median of 60 observations is read at cumulative frequency 30 on the less-than ogive. The horizontal from 30 meets the curve at a height of approximately 150 cm.