Explanation:

In statistical analysis, class intervals are used to group data into categories. Class intervals are represented by a range of values, and they are used to determine the frequency distribution of data. The class limits are the boundaries of the class intervals, while the class mark is the midpoint of each interval.

When calculating statistical measures such as mean, standard deviation, mean deviation, etc., a representative value of the class interval is required. This value is the class mark. The reason the class mark is used is that it provides a more accurate representation of the data than the class limit.

For example, suppose we have the following class intervals:

10-20, 20-30, 30-40, 40-50, 50-60

The class limits for the first interval are 10 and 20. The class mark is the midpoint of this interval, which is 15. Similarly, the class marks for the other intervals are 25, 35, 45, and 55.

When calculating the mean of a set of data, we use the class marks as the representative values for each interval. This ensures that the mean is not skewed by outliers or the boundaries of the intervals.

Similarly, when calculating the standard deviation or mean deviation, we use the class marks to represent the data in each interval.

In conclusion, the representative value of the class interval for the calculation of statistical measures such as mean, standard deviation, mean deviation, etc., is the class mark. It provides a more accurate representation of the data than the class limit and ensures that the calculations are not skewed by outliers or the boundaries of the intervals.

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