Question

The median of a frequency distribution is 40 and mean is 2. Then its mode is:

• A. \( 43 \)
• B. \( 6 \)
• C. \( 42 \)
• D. \(\text{None of these}\)

Hint:

The empirical formula for estimating mode from median and mean is: \[ \text{Mode} = 3(\text{Median}) - 2(\text{Mean}). \]

Answer 1

The Correct Option is B

Using the empirical relation:
\[ \text{Mode} = 3(\text{Median}) - 2(\text{Mean}) \] \[ = 3(40) - 2(2) \] \[ = 120 - 76.4 = 6. \]