Arithmetic Mean True Value Estimation — the NEET Physics formula with its derivation, variables, validity constraints and worked solver.
Arithmetic Mean (True Value Estimation) Used to estimate the true value of a physical quantity from a set of measurements affected by random errors. Assume random errors are distributed symmetrically around the true value. Define the arithmetic mean as the sum of all observations divided by the number of observations. This value minimizes the sum of the squares of the deviations (residuals) from the measured values. n must be a positive integer. Measurements must be of the same physical quantity. Believing the arithmetic mean is the exact true value (it is only the best estimate). Ignoring that the precision of the mean increases with the square root of n, not linearly.