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.