Which of the following is true about variance?Group of answer choicesIt measures the uncertainty of a random variableHigher variance implies low uncertainty.It is the square root of a random variable's standard deviationIt is the weighted average of all possible outcomes.
Question
Which of the following is true about variance?Group of answer choicesIt measures the uncertainty of a random variableHigher variance implies low uncertainty.It is the square root of a random variable's standard deviationIt is the weighted average of all possible outcomes.
Solution 1
Variance is a statistical measure that quantifies the spread or dispersion of a random variable's values. It is not directly related to measuring uncertainty.
Higher variance actually implies higher uncertainty or variability in the data, not low uncertainty.
The square root of variance is the standard deviation, which is another measure of dispersion.
Variance is not the weighted average of all possible outcomes. It is calculated by taking the average of the squared differences between each data point and the mean.
Solution 2
Variance is a statistical measure that quantifies the spread or dispersion of a random variable's values. It is not directly related to measuring uncertainty.
Higher variance actually implies higher uncertainty or variability in the data, not low uncertainty.
The square root of variance is the standard deviation, which is another measure of dispersion.
Variance is not the weighted average of all possible outcomes. It is calculated by taking the average of the squared differences between each data point and the mean.
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