Question

what measures the distance of the data value from the mean? standard deviation variance range z - score

Explanation:

• Standard deviation: Measures the dispersion of data from the mean but not the distance of a single data value.
• Variance: Is the square of the standard deviation, also a measure of dispersion, not a single - data - value - to - mean distance.
• Range: Is the difference between the maximum and minimum values in a data set, not related to the mean.
• Z - score: The formula for the z - score of a data value \(x\) is \(z=\frac{x - \mu}{\sigma}\), where \(\mu\) is the mean and \(\sigma\) is the standard deviation. It directly measures how many standard deviations a data value \(x\) is away from the mean \(\mu\), which is the distance of the data value from the mean in terms of standard deviation units.

Answer:

Z - score