Question

fill in the blank with an appropriate word or phrase.

the measure of dispersion that measures how much the data differ from the mean is called the ______.

the measure of dispersion that measures how much the data differ from the mean is called the

• standard dispersion.
• range.
• standard deviation.
• variability.

Explanation:

Identify the core definition

The question asks for a measure of dispersion that quantifies how much data values differ from the mean.

Evaluate the given options

• standard dispersion: This is not a standard statistical term.
• range: This measures the difference between the maximum and minimum values, not how data points differ from the mean.
• standard deviation: This is defined as the average amount by which individual data points differ from the mean.
• variability: This is a general concept rather than a specific measure.

Select the correct term

The specific measure of dispersion that calculates how much data values differ from the mean is the standard deviation.

Answer:

• standard dispersion.
• range.
• standard deviation. (Correct answer)
• variability.