In statistics, a class interval is an interval of numbers that includes the data points and is used to define the bins in a histogram. A class interval can be open or closed, depending on whether or not the endpoints are included in the interval.


An open end class interval is a class interval that has one or both endpoints left open, i.e., the data points are not included in the interval. This type of class interval is often used when the data is continuous or when there are no data points at the endpoints of the interval.


When the class interval is open-ended, it can be difficult to find the frequency and arithmetic mean (A.M.) of the data. This is because the exact number of data points in the open interval is not known, and therefore, the frequency cannot be calculated directly. Similarly, the A.M. cannot be calculated directly as the exact values of the data points are not known.


To find the frequency and A.M. in an open end class interval, alternative methods can be used. One method is to estimate the number of data points in the open interval based on the data distribution and the width of the interval. Another method is to use a different measure of central tendency, such as the median or mode, instead of the A.M.


In conclusion, an open end class interval can make it difficult to find the frequency and A.M. of the data directly. However, alternative methods can be used to estimate these values or to use other measures of central tendency.