1. **Problem Statement:** Calculate the median of grouped data using the formula and understand its components.
2. **Formula for Median of Grouped Data:**
$$\text{Median} = L + \left(\frac{\frac{n}{2} - F}{f}\right) \times h$$
3. **Explanation of Components:**
- $L$: Lower boundary of the median class (the class interval containing the median).
- $n$: Total number of observations (sum of all frequencies).
- $F$: Cumulative frequency of the class before the median class.
- $f$: Frequency of the median class.
- $h$: Width of the median class interval.
4. **Steps to Calculate Median:**
- Find $n$, the total frequency.
- Calculate $\frac{n}{2}$.
- Identify the median class: the class where cumulative frequency just exceeds $\frac{n}{2}$.
- Note $L$, $F$, $f$, and $h$ for the median class.
- Substitute values into the formula and simplify.
5. **Interpretation:**
The formula adjusts the lower boundary $L$ by a fraction of the class width $h$ based on how far $\frac{n}{2}$ is into the median class, giving an estimate of the median value within grouped data.
Median Grouped 1Ec269
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