Chapter 13 · Question 6

What is an ogive? How can median be found graphically?

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Q6

What is an ogive? How can median be found graphically?

Answer Revealed
Direct Answer:
An ogive is a cumulative frequency curve. Median can be found by locating n2\frac n2 on the cumulative frequency axis, drawing a horizontal line to the ogive, and then dropping a perpendicular to the data axis.

Simple Explanation

An ogive graph turns cumulative frequencies into a curve. The middle value is read at n/2n/2.

Exam-Ready Structure

There are less-than and more-than ogives. To find median graphically from an ogive, mark n2\frac n2 on the cumulative frequency axis, draw a horizontal line to meet the curve, and draw a vertical line down to the class-value axis. The value obtained is the median.

Key Points

  • An ogive is a cumulative frequency curve.
  • Use the NCERT formula or theorem carefully.
  • Write units and final conclusion where applicable.