Challenger · stretch problem • Statistics • 6th Grade • Bakery scenario

Cake Range Lab: 6th Grade Statistics Practice

Welcome to "Cake Range Lab", a 6th Grade Statistics mission at the Challenger (stretch) level, staged in our bakery scenario. The mission opens with a hands-on prompt: "Build a bar chart of the SORTED data 40, 50, 65, 80, 100. Each bar's height is the value at that position." You'll work with the numbers 40, 50, 65 and arrive at a final answer of 60 across 3 guided steps.

Behind the bakery 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: 65.

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 "Cake Range 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

Cake Range Lab

Mission Progress

0/3

Thinking Summary · 1

Mastered

[object Object]

[Discovery] Build a bar chart of the SORTED data 40, 50, 65, 80, 100. Each bar's height is the value at that position.

Active Step

[Discovery] Build a bar chart of the SORTED data 40, 50, 65, 80, 100. Each bar's height is the value at that position.

Bar Chart Builder

Set each bar to the value shown in the question.

1st

2nd

3rd

4th

5th

FAQ

Common Questions

Everything you need to know about the Socratic experience.

Tap to expand

01 How do I solve the first step of "Cake Range Lab"?

Build a bar chart of the SORTED data 40, 50, 65, 80, 100. 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 "Cake Range Lab" check?

Find the range of the data. If you get stuck, the adaptive hint is: Answer: 60.

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 Cake Range Lab?

Line Plots (Line plots visualise data sets that statistics summarise.). Open /grade-6/lineplot to start that topic's missions.

06 What does it mean for a math platform to be "Socratic"?

Socratic teaching answers a question with a better question. Instead of "the answer is 12", the system asks "if you had 3 groups of 4, how could you skip-count?" The goal is to externalize the learner's reasoning so they hear themselves think. Every Inquiry AI hint follows this pattern: nudge → reframe → analogy → only then a worked example, in that order.

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.