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If a​ z-score is​ zero, which of the following must be​ true? Explain your reasoning.
A. The mean is zero.
B. The corresponding​ x-value is zero.
C. The corresponding​ x-value is equal to the mean.

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Answer:

The correct answer is (C)

Explanation:

To find the z-score the most important factors are the standard deviations, the mean and the variance. Likewise, if the corresponding x-value is equal to the mean and mean is zero, then the z-score will be zero because mean and z-score are always equal. Overall, z-score is used to measure the statistical relationship between groups based on the standard deviation from the mean.

The value of z-score has been zero with corresponding x-value been equal to the mean. Thus, option C is correct.

Z score has been the numerical measurement of statistics for the relationship with the mean of the group. The mean has been the average value of the group.

The z-score has been measured to the standard deviations of the values from the mean.

The zero value of the z-score has been the representation of the value of the score to be equal to the mean. Thus, option C is correct.

For more information about z-score, refer to the link:

https://brainly.com/question/13299273