The most appropriate measure for the open ended frequency distribution is-----

To determine the most appropriate measure for an open-ended frequency distribution, you need to consider the characteristics of the data set. One common measure is the median, which represents the middle value of the data when arranged in ascending or descending order.

To find the median for an open-ended frequency distribution, follow these steps:

1. Determine the cumulative frequency by adding up the frequencies of each class interval.
2. Identify the median class, which is the class interval that contains the median value.
3. Calculate the lower boundary (LB) and upper boundary (UB) of the median class.
4. Determine the lower cumulative frequency (LCF) and upper cumulative frequency (UCF) for the median class.
5. Use the formula: Median = LB + ((n/2 - LCF) / f) * c, where n is the total number of observations, f is the frequency of the median class, and c is the width of the class interval.

Alternatively, you can also consider other measures like the mode (most frequently occurring value) or the mean (average) if the data is normally distributed. These measures provide different insights into the data set, so the choice depends on the specific context and the underlying characteristics of the data.