A ________ indicates how far an individual raw score falls from the mean of a distribution; the ________ indicates how the scores in general scatter around the mean.

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Answer:

A z-score indicates how far an individual raw score falls from the mean of a distribution; the standard deviation indicates how the scores in general scatter around the mean.

Step-by-step explanation:

We have been given an incomplete statement. We are supposed to complete the given statement.

We know that z-score of a data set indicates that a sample score or raw score is how many standard deviation away from the mean. Z-score indicates the distance of a raw score is above or below mean in units.

Therefore, the correct word for 1st blank would be "z-score".

We also know that standard deviation represents the variation of a data set. It tells that data points of a data set are how much close or away from mean of the data set.

Therefore, the correct word for 2nd blank would be "standard deviation".

Lanuel
  1. A z-score indicates how far an individual raw score falls from the mean of a given distribution.
  2. The standard deviation indicates how the scores in general scatter around the mean.

What is a z-core?

A z-core is also referred to as a standard score and it can be defined as a statistical measure of the distance between a raw score (data point) and the mean, especially when standard deviation units are used.

In Mathematics, z-scores can either be negative or positive and it is generally calculated by using this formula:

[tex]Z=\frac{x\;-\;u}{\delta}[/tex]

Where:

  • x is the sample mean.
  • u is the mean.
  • [tex]\delta[/tex] is the standard deviation.

In conclusion, a z-score can be used to indicate how far (distance) an individual raw score falls from the mean of a given distribution.

Read more on standard deviation here: https://brainly.com/question/4302527