Back to Tutor Intake Assessment: Recognize that a measure of center summarizes all values with a single number

6.SP.A.3 Tutor Intake -- Mean, Median, and Range

This short check helps your tutor see where to start. Work on your own,
without a calculator. If you're unsure, give your best try — the goal is
to find what to work on together, not to grade you.

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.

Procedures

Find the MEAN of this data set: 1, 2, 3, 4, 100.
Enter your answer as a decimal or whole number.

Find the MEDIAN of this data set: 7, 3, 8, 5, 5.
Enter your answer as a whole number.

Find the MEDIAN of this data set: 3, 4, 5, 7, 8, 10.
Enter your answer as a decimal or whole number.

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