Which term describes the distance from the mean in the normal distribution measured by the number of standard deviations they represent?

Which term describes the distance from the mean in the normal distribution measured by the number of standard deviations they represent?

• A. Z-score
• B. Range
• C. Quartiles
• D. Discounting

Answer: (A)

The distance from the mean expressed in units of standard deviation is called the Z-score. It standardizes a value X by subtracting the mean μ and dividing by the standard deviation σ: Z = (X − μ) / σ. This shows how many standard deviations away from the mean the value lies, with Z = 0 at the mean, positive values above, and negative values below. Because the standard normal distribution has a mean of 0 and a standard deviation of 1, Z-scores let you compare values from different distributions and assess likelihoods. The other terms aren’t about distance in standard deviation: range is the gap between min and max, quartiles split data into four equal parts, and discounting is a finance term unrelated to this concept.

The distance from the mean expressed in units of standard deviation is called the Z-score. It standardizes a value X by subtracting the mean μ and dividing by the standard deviation σ: Z = (X − μ) / σ. This shows how many standard deviations away from the mean the value lies, with Z = 0 at the mean, positive values above, and negative values below. Because the standard normal distribution has a mean of 0 and a standard deviation of 1, Z-scores let you compare values from different distributions and assess likelihoods. The other terms aren’t about distance in standard deviation: range is the gap between min and max, quartiles split data into four equal parts, and discounting is a finance term unrelated to this concept.