Suppose that all the values in a data set are converted to z scores. Which of the statements below is true?The mean and standard deviation of the z scores will be the same as the mean and standard deviation of the original data values.The mean of the z scores will be zero, and the standard deviation of the z scores will be the same as the standard deviation of the original data values.The mean and the standard deviation of the z scores will both be 0.The mean of the z scores will be 0, and the standard deviation of the z scores will be 1.
Accepted Solution
A:
Answer:The mean of the z scores will be 0, and the standard deviation of the z scores will be 1.Step-by-step explanation:When the data is converted to z-scores the mean and standard deviation no longer stay the same. Both these quantities are transformed into news values.Values converted to z scores follow a standard Normal curve. This curve is symmetric about the mean. The mean of standard normal curve is 0 with a standard deviation of 1. Therefore, the correct answer is:The mean of the z scores will be 0, and the standard deviation of the z scores will be 1.