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.
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Student-friendly 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.
How to write this in exams
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Start with the exact idea
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.
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Then show how to use it
1. Find total frequency N. 2. Compute N/2. 3. Mark N/2 on the cumulative frequency axis. 4. Move horizontally to the ogive. 5. Drop vertically to read the median on the x-axis.
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Add one concrete example
If total frequency is 40, we locate 20 on the cumulative frequency axis and read the matching x-value from the ogive.
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Avoid this incomplete answer
A common wrong answer is to read the median from the y-axis or to use the highest point of the curve.
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Why do we use N/2 while finding the median from an ogive?
We use N/2 because the median divides the data into two equal parts. On the ogive, this middle position helps us locate the value that separates the lower half from the upper half.
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