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Median Grouped

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Median Grouped


1. **Problem statement:** Find the median of grouped data from a frequency distribution table. 2. **Step 1: Organize data:** Create a cumulative frequency column from the given grouped frequency data. 3. **Step 2: Determine total frequency ($n$):** Sum all frequencies to find $n$. 4. **Step 3: Find median class:** Locate the class interval where cumulative frequency just exceeds $\frac{n}{2}$. 5. **Step 4: Use median formula:** $$\text{Median} = L + \left(\frac{\frac{n}{2} - F}{f}\right) \times h$$ where: - $L$ = lower boundary of median class - $F$ = cumulative frequency before median class - $f$ = frequency of median class - $h$ = class width 6. **Step 5: Calculate median using the formula by substituting values and simplifying.** This method provides the median value as an estimate suitable for grouped data.