Math With AmarA C A D E M Y

Grade 6 · Compare data summaries · 264 of 750

Compare data summaries · practice 27

Find the mean, median, and range of the five values [5, 7, 8, 12, 14]. Follow the calculation, then test the quantities in the animated example.

Try the question, use a hint when you need one, and compare your reasoning with the worked solution. The animation starts with this chapter’s values; changing its controls explores a new case.

01 · Make a prediction

Your practice question

Find the mean, median, and range of the five values [5, 7, 8, 12, 14].

Use this scratch space or work on paper. Your notes stay on this page and clear when you leave. Answers are for self-checking; they are not automatically graded.

02 · Explore the model

See the mathematical relationship move.

Use Play, Pause, and the timeline to inspect the construction. Reset restores the question’s original settings. The displayed assumptions describe where this model applies.

Watch the relationship

Paused
Compare data summaries · practice 27. Readings shown: 1 of 5. Full-data mean: 9.2. Full-data median: 8. Full-data range: 9Five readings; three different summaries[5, 7, 8, 12, 14]06121824Full-data mean 9.2 · median 8Repeated readings count separately.
This is a constructed five-observation data set, not a random sample or a measured survey. Repeated values count separately. The axis uses a fixed 0-to-24 measurement scale; all chosen readings are within it.

Starts paused. Play once, pause anywhere, or use Step to inspect the mathematics. Playback stops when this panel leaves the screen.

Make it your experiment

Change one value. Notice what follows.

The controls adjust the model. Numbers below describe the current frame. Decimals are rounded.

Readings shown
1 of 5
Full-data mean
9.2
Full-data median
8
Full-data range
9

HD animation studio

From experiment to screen.

Present a crisp Canvas scene, save a full-HD image, or capture your model as a silent video.

The mathematical idea

A data set can have several different useful summaries. The mean balances all five values, the median is the middle after sorting, and the range is the largest minus the smallest. These numbers describe the particular data shown; they do not establish a population fact. Starting quantities: First pair anchor a = 5; Single reading b = 8; Second pair anchor c = 12.

mean = sum/5; median = sorted middle; range = max−min

03 · Reflect and transfer

Explain what changes and why.

Which summary would be most sensitive to replacing the largest observation with a much larger one?

This is a distinct guided scenario using a reusable mathematical model. Similar-looking diagrams can represent different given values and conclusions; they are not different mathematical theories.