Utilize this Grouped Data Arithmetic Mean Calculator to quickly determine the mean for your frequency distribution. Simply enter your class intervals and corresponding frequencies to get an accurate average for grouped datasets, making statistical analysis faster and easier.
Formula:
The formula for the Arithmetic Mean of Grouped Data is:
&bar;x = Σfixi⁄Σfi
Where:
- &bar;x = Arithmetic Mean
- fi = Frequency of the i-th class interval
- xi = Midpoint of the i-th class interval (calculated as (Lower Bound + Upper Bound) / 2)
- Σfixi = Sum of the products of each frequency and its corresponding class midpoint
- Σfi = Sum of all frequencies (total number of observations)