Back to Recognize that a measure of center summarizes all values with a single number — Problem 1 · Task Set 53

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Grade 6·6 problems·~9 min·Common Core Math - Grade 6·standard·6-sp-a-3

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Concepts

A distribution can be described with a full plot showing every
value. Why would anyone want to reduce it to a measure of center
and a measure of variation instead?

A measure of center gives a portable "typical value" and a measure of variation gives a portable "how spread out" — useful for comparing groups or reporting a result briefly, even though detail is lost.

Because a plot is always wrong and a single number is always more accurate.

Because measures of center and variation show every individual data value, just written differently.

There's no real benefit — a full plot is always better than any single number.