Median from ogive
The median from an ogive is found by using the total frequency, locating N/2 on the cumulative frequency axis, and reading the corresponding class boundary value.
Practice This ConceptMain explanation
Teacher explanation
To get the median from an ogive, we first find N/2 on the y-axis. From that point, we move horizontally to the curve and then vertically down to the x-axis. The value read on the x-axis is the median estimate.
Example
If total frequency is 40, we locate 20 on the cumulative frequency axis and read the matching x-value from the ogive.
Simple analogy
Half the total on y-axis, then read across and down.
Common confusion
Students sometimes read the median from the wrong axis or forget to use half of the total frequency.
Exam tip
Use a ruler and mark the horizontal and vertical steps carefully; one small reading error changes the answer.
Answer writing and exam use
1-mark use
Write the exact meaning of median from ogive in one clean line.
2-mark use
Define median from ogive and add one example or condition.
3-mark use
Explain median from ogive, show the method or example, and mention the common mistake.
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