The Variance of a Distribution Increases More Than Proportionately with the Spread

question 26

Multiple Choice

The variance of a distribution increases more than proportionately with the spread of the distribution because:

• A)variance is a squared quantity.
• B)variance always lies at the center of the distribution.
• C)variance is half the value of mean.
• D)variance is closer to the maximum values.

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Definitions:

Mutually Exclusive

A condition in probability and statistics where two events cannot both occur at the same time.

Bayes' Rule

A theorem used in probability to update the probability of a hypothesis as more information becomes available.

Posterior Probability

The probability of a hypothesis being true after taking into account new evidence or information.

Well-Shuffled Cards

A state in which the order of cards in a deck is randomized, ensuring that no predictable patterns interfere with the randomness of card games.