Question

When a data value is converted to a standardized scale representing the number of standard deviations the data value lies from the​ mean, we call the new value a​ _______. a. z-score. b. range. c. variation. d. mean.

Answer 1

Answer:

a. z-score.

Correct as we can see on the the z score measure how many deviations a value x is from the mean.

Step-by-step explanation:

Previous concepts

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".  

And is defined as $z = \frac{x-\mu}{\sigma}$

a. z-score.

Correct as we can see on the the z score measure how many deviations a value x is from the mean.

b. range.

False the range is defined as R =Max-Min and can't measure the deviations that the data lies from the mean

c. variation.

False that's a measure to see the dispersion but not to see the deviations that the data lies from the mean

d. mean.

False the mean is a measure of central tendency to see a midpoint on the data