Question

Which of the following is not a formula for arithmetic mean?

• A. \(\frac{\sum f_i x_i}{\sum f_i}\)
• B. \(a + \frac{\sum f_i d_i}{\sum f_i}\)
• C. \(a + \left[ \frac{\sum f_i \mu_i}{\sum f_i} \right] \times h\)
• D. \(l + \frac{f_1 - f_0}{2f_1 - f_0 - f_2} \times h\)

Hint:

To calculate the arithmetic mean, use formulas like \(\frac{\sum f_i x_i}{\sum f_i}\) or the weighted average formula. The formula in option (4) is used for the mode calculation.

Answer 1

The Correct Option is D

The formula \[l + \frac{f_1 - f_0}{2f_1 - f_0 - f_2} \times h\] is used for calculating the mode, not the arithmetic mean. The arithmetic mean uses the formulas in options (1), (2), and (3).