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 The height which occurs most frequently in the class is

Step-by-step solution

The height which occurs most frequently corresponds to the mode of the given frequency distribution. The maximum frequency is 24 , which corresponds to the class interval 164-166 . Thus, the modal class is 164-166 . The lower limit of the modal class, l = 164 Frequency of the modal class, f₁ = 24 Frequency of the class preceding the modal class, f₀ = 15 Frequency of the class succeeding the modal class, f₂ = 13 Class size, h = 2 The mode is calculated using the formula: Mode = l + ( f₁ - f₀ 2f₁ - f₀ - f₂ ) h Substi