Mode Grouped
1. The mode of grouped data is the value that appears most frequently in the data set, estimated from a grouped frequency distribution.
2. The formula to find the mode for grouped data is:
$$\text{Mode} = L + \left(\frac{f_1 - f_0}{2f_1 - f_0 - f_2}\right) \times h$$
where:
- $L$ = lower boundary of the modal class
- $f_1$ = frequency of the modal class
- $f_0$ = frequency of the class before the modal class
- $f_2$ = frequency of the class after the modal class
- $h$ = class width
3. To use this formula, first identify the modal class, which is the class interval with the highest frequency.
4. Then, plug the values of $L$, $f_1$, $f_0$, $f_2$, and $h$ into the formula to calculate the mode.
5. This formula provides an estimate of the mode within the modal class interval based on the frequencies of the modal class and its neighboring classes.