Unlock insights from your grouped frequency data using our Grouped Mean Median Mode Calculator. Quickly find the central tendency measures for any frequency distribution, making statistical analysis straightforward and accurate. Just input your class intervals and frequencies!
Formula:
For a grouped frequency distribution:
- Grouped Mean (x̄): \( \bar{x} = \frac{\sum (f \cdot x_m)}{\sum f} \)
Where: \(f\) = frequency of the class, \(x_m\) = midpoint of the class. - Grouped Median (Me): \( M_e = L + \left( \frac{\frac{N}{2} - C}{f_m} \right) \cdot w \)
Where: \(L\) = lower boundary of the median class, \(N\) = total frequency (\( \sum f \)), \(C\) = cumulative frequency of the class preceding the median class, \(f_m\) = frequency of the median class, \(w\) = class width. - Grouped Mode (Mo): \( M_o = L + \left( \frac{f_m - f_1}{2f_m - f_1 - f_2} \right) \cdot w \)
Where: \(L\) = lower boundary of the modal class, \(f_m\) = frequency of the modal class, \(f_1\) = frequency of the class preceding the modal class, \(f_2\) = frequency of the class succeeding the modal class, \(w\) = class width.
Note: This calculator assumes you are entering continuous class intervals (e.g., 0-10, 10-20, 20-30), where the upper limit of one class is the lower limit of the next.