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NDA Mathematics Statistics 2025 NDA 2025 (Phase 1)

NDA Mathematics Question (2025) — Solution

Question

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 most appropriate graphical representation of the given frequency distribution is

Options

  1. A. bar chart
  2. B. percentage bar chart
  3. C. histogram
  4. D. pie chart

Answer

C. histogram

Step-by-step solution

The given frequency distribution consists of continuous class intervals (160-162, 162-164, 164-166, 166-168) representing a continuous variable (height). For continuous grouped frequency distributions, the most appropriate graphical representation is a histogram, as it displays the frequencies of continuous data using adjacent rectangular bars. Bar charts, percentage bar charts, and pie charts are generally used for categorical or discrete data. Answer: histogram

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