Question: what is the standard deviation of a frequency distribution?
Answer: The mean is the sum of the product of the midpoints and frequencies divided by the total of frequencies. Simplify the right side of μ=50618 μ = 506 18 . The equation for the standard deviation is S2=∑f⋅M2−n(μ)2n−1 S 2 = ∑ ⁡ f ⋅ M 2 - n ( μ ) 2 n - 1 .