Study Guides/Maths/Median of Grouped Data
Study Guide ยท Maths

Median of Grouped Data Formula

Finding the median of grouped (continuous) data requires a special formula since exact values are unknown. This is a guaranteed question in Class 10 board exams.

Question (Click to Flip)

What is cumulative frequency?

Answer

Cumulative frequency is the running total of frequencies. For each class, add the frequency of that class to all previous frequencies.

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Key Facts

Median divides the distribution into two equal halves โ€” 50% values fall below and 50% above the median.

Formula

Median = L + [(N/2 - cf) / f] ร— h

Where:

  • L = Lower boundary of median class
  • N = Total frequency (sum of all frequencies)
  • cf = Cumulative frequency of class before median class
  • f = Frequency of median class
  • h = Class width (class size)

Steps to Find Median

  1. Find N (total of all frequencies).
  2. Find N/2.
  3. Find the cumulative frequencies.
  4. Identify the median class: the class where cumulative frequency first exceeds N/2.
  5. Apply the formula.

Questions and Answers

What is cumulative frequency?+

Cumulative frequency is the running total of frequencies. For each class, add the frequency of that class to all previous frequencies.

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