# The Measure Of Vs A Measure Of?

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"The standard deviation is the measure of how spread out a normally distributed set of data is."
Normal Distribution of Data
What does "measure" exactly mean in the given context?
I thought it should be "a measure of..." not "the measure of..."
JigneshbharatiI thought it should be "a measure of..." not "the measure of..."

It could have been worded that way.

As they have it, they explain "standard deviation" as if it is the only measure of the spread of that kind of set of data. Maybe it is the only measure of that. I am not that familiar with the terminology of statistics.

With "a measure" it would be an explanation of "standard deviation" as only one or two or more measures of the same thing.

JigneshbharatiWhat does "measure" exactly mean in the given context?

"measure" means a number that represents the spread as explained in their definition.

A meter is a measure of length. A gram is a measure of weight. And so on.

All measures (or measurements) include a number and a unit:

30 meters; 15 grams; 2 standard deviations.

CJ