Question

The mean and median of a frequency table are 27 and 29 respectively. Then its mode will be

• A. 28
• B. 31
• C. 33
• D. 35

Hint:

Use the relation \(\text{Mode} = 3 \times \text{Median} - 2 \times \text{Mean}\) to find any one measure when the other two are given.

Answer 1

The Correct Option is C

Step 1: Recall the empirical relationship.
For a frequency distribution, \[ \text{Mode} = 3(\text{Median}) - 2(\text{Mean}) \]
Step 2: Substitute given values.
\[ \text{Mode} = 3(29) - 2(27) = 87 - 54 = 33 \]
Step 3: Conclusion.
Hence, the mode of the distribution is 33.