If a z-score is zero, which of the following must be true? Explain your reasonin

Question

If a z-score is zero, which of the following must be true? Explain your reasoning. The mean is zero. The corresponding x-value is zero. The corresponding x value is equal to the mean. Choose the correct answer below. The mean is zero, because the mean is always equal to the z-score. The corresponding x-value is equal to the mean, because the z-score is equal to the difference between the x-value and the mean, divided by the standard deviation. The corresponding x-value is zero, because the z-score is equal to the x-value divided by the standard deviation.

Explanation / Answer

z= (x-mean)/standard deviation

for z to be zero numerator i.e x-mean=0

x = mean

so anser is B i.e the correspoding x-value is equal to mean beause the z-score is equal to the difference between the x-value and mean divided by standard deviation

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