(i) Tabulate the marks as a frequency distribution grouping in interval of 10 marks, namely 0–9, 10–19, 20–29 etc., determine whether the general performance of students is low or high using coefficient of skewness p=3(mean-median)/standard deviation (II) If scoring at least 75% is to get distinction, determine the standard score of students who got distinctive mark.  (iii) The headmaster wants you to compile students' scores within the interquartile range. For what range of marks would you report?

Definition Definition Middle value of a data set. The median divides a data set into two halves, and it also called the 50th percentile. The median is much less affected by outliers and skewed data than the mean. If the number of elements in a dataset is odd, then the middlemost element of the data arranged in ascending or descending order is the median. If the number of elements in the dataset is even, the average of the two central elements of the arranged data is the median of the set. For example, if a dataset has five items—12, 13, 21, 27, 31—the median is the third item in ascending order, or 21. If a dataset has six items—12, 13, 21, 27, 31, 33—the median is the average of the third (21) and fourth (27) items. It is calculated as follows: (21 + 27) / 2 = 24.