Consider the following for the four (04) items that follow: The frequency distribution of height of students of a class is given below: Height (in cm) Number of Students 160–162 12 162–164 15 164–166 24 166–168 13 What is the median height of the class?

Step-by-step solution

The cumulative frequencies for the given classes are: 160-162 : 12 162-164 : 12 + 15 = 27 164-166 : 27 + 24 = 51 166-168 : 51 + 13 = 64 Total number of students, N = 64 N 2 = 64 2 = 32 The cumulative frequency just greater than 32 is 51 , which corresponds to the class 164-166 . Thus, the median class is 164-166 . Lower limit of the median class, L = 164 Cumulative frequency of the class preceding the median class, cf = 27 Frequency of the median class, f = 24 Class width, h = 2 Using the formula for median: Median