In the z-score formula, which of the following is true if the value in the numerator is a negative value?Group of answer choicesthat the xi value lies to the left of the meanthat the mean is of lesser value than the xi valuethat the mean is of negative valuethat the numerator value cannot be divided by the standard deviation

The mean of a z-score is always zero. Does this mean that half of a set of z scores will be negative and half positive? Explain.

A standardized value, commonly called a z-score relies on the values of Group of answer choicessample standard deviation and the meanmedianmodeaverage distribution

Find the z-score for the value 52, when the mean is 58 and the standard deviation is 9.Group of answer choicesz=-0.78z=-0.74z=0.74z=-0.67

Let X be normally distributed with mean μ and standard deviation σ > 0. Which of the following is false about the z value corresponding to a given x value?Multiple ChoiceA positive z = (x − μ)/σ indicates how many standard deviations x is above μ.The z value corresponding to x = μ is zero.The z value corresponding to a given value of x assumes any value between 0 and 1.A negative z = (x − μ)/σ indicates how many standard deviations x is below μ.

What is the mean of the z-scores?Question 2Answera.0.5b.0c.1