If M is the median, then what is the value of 3M?

Consider the following data for the next two (02) items that follow :<br><table> <thead><tr><th>Class</th><th>40–50</th><th>50–60</th><th>60–70</th><th>70–80</th></tr></thead> <tbody> <tr><td>Frequency</td><td>4</td><td>3</td><td>1</td><td>2</td></tr> </tbody> </table>

  1. A. 53\frac{1}{3}
  2. B. 60
  3. C. 160 ✓
  4. D. 180

Correct Answer: C. 160

Explanation

Total frequency N=10. Median class is 50–60 (cumulative frequency reaches 5). Median M = 50 + \frac{5-4}{3} \times 10 = 50 + \frac{10}{3} = \frac{160}{3}. Thus, 3M = 3 \times \frac{160}{3} = 160.

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