Question

If a class interval has a median class of 48-64 and mode class of 46-52, then its mean is:

• A. \( 49.70 \)
• B. \( 49 \)
• C. \( 50 \)
• D. \( \text{None of these} \)

Hint:

For grouped data, use the empirical relation: \[ \text{Mean} \approx \frac{\text{Mode} + 2(\text{Median})}{3}. \]

Answer 1

The Correct Option is C

The empirical formula for mean, median, and mode is:
\[ \text{Mean} \approx \frac{\text{Mode} + 2(\text{Median})}{3}. \] Substituting:
\[ \text{Mean} \approx \frac{(49) + 2(50)}{3} = \frac{49 + 100}{3} = 50. \]