Challenger · stretch problem Statistics 6th Grade Space scenario

Cargo Median Lab: 6th Grade Statistics Practice

Welcome to "Cargo Median Lab", a 6th Grade Statistics mission at the Challenger (stretch) level, staged in our space exploration scenario. The mission opens with a hands-on prompt: "Build a bar chart of the SORTED data 28, 42, 55, 75, 90. Each bar's height is the value at that position." You'll work with the numbers 28, 42, 55 and arrive at a final answer of 62 across 3 guided steps.

Behind the space exploration story, this lesson is really about statistics aligned to CCSS 6.SP.B.5. Summarize numerical data sets in relation to their context (median, mean, range, mean absolute deviation). The key strategy this mission asks you to internalise: Answer: 55.

A general pattern to watch for in 6th Grade statistics — illustrated with example numbers below, which may differ from this lesson's: Forgetting to sort before finding the median. Median is the middle of the SORTED list. Sort first, then count to the middle. If you get stuck on "Cargo Median Lab", the adaptive Socratic hints below escalate from a gentle nudge to a worked-out strategy — the same way a one-on-one tutor would coach you through it.

Grade 6 · Statistics

Cargo Median Lab

Mission Progress

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Thinking Summary · 1

Mastered

[object Object]

[Discovery] Build a bar chart of the SORTED data 28, 42, 55, 75, 90. Each bar's height is the value at that position.

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Active Step

[Discovery] Build a bar chart of the SORTED data 28, 42, 55, 75, 90. Each bar's height is the value at that position.

Bar Chart Builder

Set each bar to the value shown in the question.

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Mastery Expansion

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FAQ

Common Questions

Everything you need to know about the Socratic experience.

01 How do I solve the first step of "Cargo Median Lab"?

Build a bar chart of the SORTED data 28, 42, 55, 75, 90. Each bar's height is the value at that position. Hint: Order the values low → high, then make each bar that tall.

02 What does the final step of "Cargo Median Lab" check?

Find the range of the data. If you get stuck, the adaptive hint is: Answer: 62.

03 Why is this mission classified as challenger?

Challenger missions push beyond CCSS expectations with edge cases that surface deeper misconceptions. Within 6th Grade Statistics, expect numbers in the corresponding range.

04 What's a common mistake in 6th Grade Statistics that this mission targets?

Confusing mean with median. Mean is computed (sum ÷ count). Median is found by position. Different methods.

05 What should I learn after Cargo Median Lab?

Decimaldivision (Mean often produces decimal results.). Open /grade-6/decimaldivision to start that topic's missions.

06 Is Inquiry AI Common Core aligned?

Yes. Every mission, handbook page, and topic hub is mapped to a specific CCSS code (visible in the page header). The curriculum follows the CCSS coherence map: Grade 1 number sense → Grade 3 multiplicative thinking → Grade 6 ratio reasoning, with each grade building strictly on the prior year's foundations.

07 What is the Concrete-Pictorial-Abstract (C-P-A) approach?

C-P-A is the Singapore Math sequence proven to deepen number sense: first manipulate physical objects (Concrete), then draw pictures of them (Pictorial), and only then write equations (Abstract). Inquiry AI structures every mission as exactly these three steps — a manipulative, a picture/grid model, and finally the equation. Skipping straight to symbols is the #1 cause of math anxiety; the platform refuses to do it.