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

Donut Mode Finder: 6th Grade Statistics Practice

Welcome to "Donut Mode Finder", 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 35, 55, 65, 80, 95. Each bar's height is the value at that position." You'll work with the numbers 35, 55, 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: Confusing mean with median. Mean is computed (sum ÷ count). Median is found by position. Different methods. If you get stuck on "Donut Mode Finder", 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

Donut Mode Finder

Mission Progress

0/3

Thinking Summary · 1

Mastered

[object Object]

[Discovery] Build a bar chart of the SORTED data 35, 55, 65, 80, 95. Each bar's height is the value at that position.

Active Step

[Discovery] Build a bar chart of the SORTED data 35, 55, 65, 80, 95. 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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FAQ

Common Questions

Everything you need to know about the Socratic experience.

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01 How do I solve the first step of "Donut Mode Finder"?

Build a bar chart of the SORTED data 35, 55, 65, 80, 95. 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 "Donut Mode Finder" 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?

Reporting only the mean for skewed data. Outliers pull the mean. The median may be more representative when extremes are present.

05 What should I learn after Donut Mode Finder?

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 inquiry-based learning, and how does Inquiry AI apply it?

Inquiry-based learning starts with a question, not a formula — students explore, hypothesize, and verify before being told the rule. In Inquiry AI, every mission opens with a "Discovery" step (manipulate the model), then "Abstraction" (write the equation), then "Reflect" (apply to a new case). The procedure is never given upfront; learners derive it from their own observations.