Question

The mean and median of a frequency table are 30 and 35 respectively. Then its mode will be

• A. 40
• B. 45
• C. 55
• D. 48

Hint:

Use the formula: Mode = $3 \times \text{Median} - 2 \times \text{Mean}$ to quickly find mode without a complete frequency table.

Answer 1

The Correct Option is A

Step 1: Use empirical relation between mean, median, and mode.
\[ \text{Mode} = 3 \times \text{Median} - 2 \times \text{Mean} \] Step 2: Substitute given values.
\[ \text{Mode} = 3(35) - 2(30) = 105 - 60 = 45 \] Step 3: Correction.
Mode = 45 (option B). Hence, the correct answer is (B) 45.