The height which occurs most frequently in the class is
Consider the following for the four (04) items that follow :<br>The frequency distribution of height of students of a class is given below :<br><table><thead><tr><th>Height (in cm)</th><th>Number of Students</th></tr></thead><tbody><tr><td>160-162</td><td>12</td></tr><tr><td>162-164</td><td>15</td></tr><tr><td>164-166</td><td>24</td></tr><tr><td>166-168</td><td>13</td></tr></tbody></table>
- A. 163.5 cm
- B. 163.9 cm
- C. 164.5 cm
- D. 164.9 cm ✓
Correct Answer: D. 164.9 cm
Explanation
The modal class is 164-166 with the highest frequency f_1 = 24. Using the mode formula: L + \frac{f_1 - f_0}{2f_1 - f_0 - f_2} \times h = 164 + \frac{24 - 15}{48 - 15 - 13} \times 2 = 164 + \frac{9}{20} \times 2 = 164 + 0.9 = 164.9\text{ cm}.
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