What is the median of the distribution?
Consider the following for the next three (03) items that follow : Consider the following grouped frequency distribution: <table> <thead><tr><th>Class</th><th>0-10</th><th>10-20</th><th>20-30</th><th>30-40</th><th>40-50</th><th>50-60</th></tr></thead> <tbody> <tr><td>Frequency</td><td>1</td><td>2</td><td>4</td><td>6</td><td>4</td><td>3</td></tr> </tbody> </table>
- A. 34
- B. 34.5
- C. 35 ✓
- D. 35.5
Correct Answer: C. 35
Explanation
The cumulative frequencies are 1, 3, 7, 13, 17, 20. The total frequency is N = 20, so N/2 = 10. The median class is 30-40. Using the median formula L + \frac{N/2 - cf}{f} \times h, we get 30 + \frac{10 - 7}{6} \times 10 = 30 + 5 = 35.
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