Arithmetic Mean- Solved Examples of Continuous Series, Cumulative Series and Inclusive Class-Interval Series
Arithmetic Mean [Continuous Series] In continuous series, the value of each individual frequency distribution is unknown, therefore an assumption is made to make them precise and the assumption is that the frequency of the class intervals is concentrated at the center and on this basis, the midpoint of each class interval has to be found out. In continuous series, the mean can be calculated by any of the following methods: 1- Direct Method 2- Short cut Method 3- Step Deviation Method Direct Method: The following steps are given below for calculating arithmetic mean in continuous series- Steps: 1. Find out the mid value of each group or class. The mid value is obtained by adding the lower limit and upper limit of the class and dividing the total by 2. For example, in a class interval [10-20] the mid value is 2. Multiply the mid value of each class by the frequency of the class [f]. 3. Add up all...