What is the median height of the class?
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. 162.41 cm
- B. 163.41 cm
- C. 164.41 cm ✓
- D. 165.41 cm
Correct Answer: C. 164.41 cm
Explanation
Total students N = 64. The median class is 164-166 (since N/2 = 32 falls in its cumulative frequency of 51). Using the median formula: L + \frac{N/2 - cf}{f} \times h = 164 + \frac{32 - 27}{24} \times 2 = 164 + \frac{5}{12} \approx 164.41\text{ cm}.
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