The z-score of a random variable value of x = 2 is z = -2, while the standard deviation of the random variable x equals 2. What is the mean of x?

Name: The z-score of a random variable value of x = 2 is z = -2, while the standard deviation of the random variable x equals 2. What is the mean of x?
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Quizplus · Accepted Answer

The z-score is calculated as (x - mean) / standard deviation. Since the z-score is -2 and the standard deviation is 2, we can write: -2 = (2 - mean) / 2. Solving for the mean, we get: mean = 2 + (-2) * 2 = 6.

The Z-Score of a Random Variable Value of X =