The standard deviation can be defined as
A) $\sqrt { \sum ( D - D ) ^ { 2 } P }$
B) $\sqrt { \sum ( D - D ) P }$
C) $\sqrt { ( D - D ) ^ { 2 } P }$
D) $\sqrt { ( D - D ) P }$

Question

Quizplus · Accepted Answer

The standard deviation is a measure of the amount of variation or dispersion of a set of values. A correct formula for standard deviation involves squaring the difference between each data point and the mean (D - D), then multiplying by the probability of each data point (P), summing these values ($\sum$), and finally taking the square root ($\sqrt{}$). However, none of the provided options accurately represent the standard formula for standard deviation. Option A is the closest, as it involves squaring the difference, summing, and taking the square root, but it incorrectly uses "D - D" which would always be zero. The correct formula should involve the difference between each data point and the mean, not "D - D". This seems to be a trick question or a mistake in the formulation of the options.

The Standard Deviation Can Be Defined as A) ∑(D−D)2P\sqrt { \sum ( D - D ) ^ { 2 } P }∑(D−D)2P​

The Standard Deviation Can Be Defined as
A) $\sqrt { \sum ( D - D ) ^ { 2 } P }$