What is the mode of the distribution?
Consider the following data for the next two (02) items that follow :<br><table> <thead><tr><th>Class</th><th>0–30</th><th>30–60</th><th>60–90</th><th>90–120</th></tr></thead> <tbody> <tr><td>Frequency</td><td>4</td><td>5</td><td>7</td><td>4</td></tr> </tbody> </table>
- A. 60
- B. 72 ✓
- C. 75
- D. 80
Correct Answer: B. 72
Explanation
The modal class is 60–90 since it has the highest frequency (7). Using the mode formula: \text{Mode} = l + \frac{f_1-f_0}{2f_1-f_0-f_2} \times h, we substitute l=60, f_1=7, f_0=5, f_2=4, h=30. Thus, 60 + \frac{7-5}{14-5-4} \times 30 = 60 + \frac{2}{5} \times 30 = 72.
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