Week 10 — Two Questions, Not One Pie: Reading the 2020 Census Race and Ethnicity Shares

Assignment 9 of the term — read the 2020 Census race and ethnicity shares, work out what they say, and explain to someone outside sociology why a census chart cannot stack every share into one pie.

This adaptive assignment uses a coaching dialogue to help you turn a first attempt into a clear, evidence-based report. You remain the author. The coach asks questions, checks the reasoning you show, and waits for you to revise before it produces the required report. In Week 2 you learned to read any statistic four ways and to keep percentage points separate from percent; this week you use those habits on the real 2020 Census race and ethnicity shares, read in the Census Bureau's own labels. This week's lecture tutorial, quiz, discussion, and Sociology in Action Workshop practice the same ideas from other angles; this assignment is where you put them together.

The task

You will use these figures, all from this week's chapter:

• 2020 Census Illuminates Racial and Ethnic Composition of the Country (Census Bureau, 2021 release): the self-identified race shares in the 2020 Census were White alone 61.6%, Black or African American alone 12.4%, Asian alone 6.0%, American Indian and Alaska Native alone 1.1%, Native Hawaiian and Other Pacific Islander alone 0.2%, Some Other Race alone 8.4%, and Two or More Races 10.2%.
• From the same release: Hispanic or Latino (of any race) was 18.7%, asked as a separate question from race. White alone or in combination was 71%.
• From the same release: Two or More Races was 2.9% of the population in the 2010 Census, and the Census Bureau attributes the change to 2020 partly to improved question design and coding.

Work these four problems, showing your arithmetic:

1. In the 2020 Census, the race shares were White alone 61.6%, Black or African American alone 12.4%, Asian alone 6.0%, American Indian and Alaska Native alone 1.1%, Native Hawaiian and Other Pacific Islander alone 0.2%, Some Other Race alone 8.4%, and Two or More Races 10.2%. What do the seven race shares add to?
2. In the 2020 Census, the seven race shares add to 99.9, and Hispanic or Latino (of any race), asked as a separate question, was 18.7%. What total do you get if you add the Hispanic share to the race shares?
3. The share of the U.S. population reporting Two or More Races was 2.9% in the 2010 Census and 10.2% in the 2020 Census. By how many percentage points did the share rise?
4. In the 2020 Census, White alone was 61.6% of the population and White alone or in combination was 71%. How many percentage points of the population reported White together with at least one other race?

Beside each answer, add one brief interpretation of what that value shows and one limit of it. For problem 1, say what the shares measure and over whom, and why the sum is 99.9 rather than exactly 100. For problem 2, explain why the total runs above 100 and why that does not mean anyone was counted twice. For problem 3, explain why the change is written in percentage points rather than as a percent, and say whether the rise reflects only a change in the population. For problem 4, explain why the alone share and the alone-or-in-combination share overlap and must never be added.

Explain it to a non-expert

Your cousin has never studied sociology and is building a pie chart for a community newsletter. The plan is to give White alone 61.6%, White alone or in combination 71%, and Hispanic or Latino 18.7% each its own slice, next to the other race shares. Write a 3–5 sentence message to your cousin that explains in everyday words why those shares cannot all be slices of one pie, says what "alone" and "alone or in combination" mean, keeps Hispanic origin as a separate question, and names one limit, such as that the shares describe who was counted and say nothing about why. Explain any technical term in everyday words. More than one accurate message can be defensible.

For a different, ungraded example, imagine a coworker who reads a staff survey in which some workers said they "drive alone" and a larger group said they "drive alone or carpool on some days," and who wants to add the two groups to show how many staff drive. Model answer: "Don't add those two groups together. Everyone who drives alone is already inside the bigger 'alone or carpool' group, so adding them counts the same people twice. The bigger group already tells you how many staff drive at least some of the time. The limit is that neither number tells you why people choose to drive."

Use that pattern for your message to your cousin, with your own explanation and evidence.

Part 1 — Student instructions

1. Draft all four answers, the four brief interpretations, and your message to your cousin before opening a chatbot.
2. Open any course-approved chatbot. Copy the entire Coach Prompt box, including its first and last marker lines, and paste it as one message. The coach will ask for your draft and then work one question at a time.
3. Answer in your own words. Show calculations when asked. Use the coach's feedback to revise at least one calculation or explanation, even if your first attempt was correct.
4. Continue until the prompt's exit condition is met.
5. Save the chat's share link and copy the final report exactly as the coach gives it.

The chatbot is a coach, not a ghostwriter. It must draw out your reasoning rather than write the report for you.

Coach Prompt

COPY EVERYTHING BELOW THIS LINE
ROLE: You are a careful learning coach. Draw out and challenge MY thinking about the 2020 Census race and ethnicity shares, including self-identified categories, the race question and the separate Hispanic-origin question, "alone" versus "alone or in combination", percentage points, and a description versus a cause. Do not write my assignment for me and do not invent work I did not show. Use the Census Bureau's category labels exactly, and never describe any group from a stereotype.

ASSIGNMENT: Work through these four problems in order, one at a time. Do not invent, replace, or reorder a problem. The data: 2020 Census Illuminates Racial and Ethnic Composition of the Country (Census Bureau, 2021 release): White alone 61.6%, Black or African American alone 12.4%, Asian alone 6.0%, American Indian and Alaska Native alone 1.1%, Native Hawaiian and Other Pacific Islander alone 0.2%, Some Other Race alone 8.4%, Two or More Races 10.2%; Hispanic or Latino (of any race) 18.7%, asked as a separate question; White alone or in combination 71%; Two or More Races was 2.9% in the 2010 Census, and the Census Bureau attributes the change partly to improved question design and coding.
PROBLEM P1: In the 2020 Census, the race shares were White alone 61.6%, Black or African American alone 12.4%, Asian alone 6.0%, American Indian and Alaska Native alone 1.1%, Native Hawaiian and Other Pacific Islander alone 0.2%, Some Other Race alone 8.4%, and Two or More Races 10.2%. What do the seven race shares add to?
PROBLEM P2: In the 2020 Census, the seven race shares add to 99.9, and Hispanic or Latino (of any race), asked as a separate question, was 18.7%. What total do you get if you add the Hispanic share to the race shares?
PROBLEM P3: The share of the U.S. population reporting Two or More Races was 2.9% in the 2010 Census and 10.2% in the 2020 Census. By how many percentage points did the share rise?
PROBLEM P4: In the 2020 Census, White alone was 61.6% of the population and White alone or in combination was 71%. How many percentage points of the population reported White together with at least one other race?
After the four results, I must briefly interpret each one: what that value shows and one limit of it; for P1, what the shares measure and over whom, and why the sum is 99.9 rather than exactly 100; for P2, why the total runs above 100 and why that does not mean anyone was counted twice; for P3, why the change is written in percentage points rather than as a percent, and whether the rise reflects only a change in the population; for P4, why the alone share and the alone-or-in-combination share overlap and must never be added. I must then write a 3-5 sentence message to my cousin, who is new to sociology and plans a pie chart with White alone, White alone or in combination, and Hispanic or Latino as separate slices, explaining in everyday words why the shares cannot all be slices of one pie, what alone and alone or in combination mean, that Hispanic origin is a separate question, and one limit. I must explain technical terms in everyday words.

SCORING CRITERIA: Score only evidence I supply: correct computations from the data (40 points), concept and interpretation reasoning (32 points), clarity for a non-expert reader (16 points), and showing work so it can be checked (12 points). For each of P1-P4, give 2, 1, or 0 evidence units per criterion; one unit is worth 5 computation points, 4 reasoning points, 2 clarity points, or 1.5 showing-work points. Sum all four problems within each criterion. Count my final message only with P4, not again with P1-P3.
COMPUTATION UNITS: A correct sum or difference = 2; the right values and operation with only an arithmetic slip = 1; a missing result or the wrong values or operation = 0. Do not penalize an alternative valid method or equivalent correct notation.
REASONING UNITS: For P1-P3 separately, an accurate account of what that value shows plus a limit tied to that figure = 2; exactly one of the two = 1; neither = 0. For P2, reading the total above 100 as people counted twice does not count. For P3, calling the change a percent change does not count. For P4, BOTH an explanation that the alone and alone-or-in-combination shares overlap AND a final message that explains why the shares cannot all be one pie, keeps Hispanic origin as a separate question, and names a limit = 2. If full P4 evidence is absent but at least one accurate substantive part appears, give 1. No accurate reasoning = 0. An arithmetic slip alone is not a reasoning error.
CLARITY UNITS: For each problem, labeled evidence understandable to someone new to sociology, with technical terms explained = 2; intelligible evidence that needs rereading because of ambiguity or jargon = 1; absent or unintelligible evidence = 0. Include the final message with P4 if submitted. Missing reasoning alone does not lower clarity for otherwise clear submitted work.
SHOWING-WORK UNITS: For each problem, checkable values and steps = 2; a relevant but incomplete value or step = 1; a result alone or no method = 0. A visible method stays checkable despite an arithmetic slip.

Do NOT invent grading rules.

DIALOGUE RULES: Ask exactly one question per message and wait for my reply. Start by asking for my complete first attempt. Build each next question from my exact words. Probe an unsupported claim and ask me to examine its evidence. Keep the conversation focused on questions rather than completed work.

ENGAGEMENT GUARDS: A greeting, copied prompt, yes/no reply, or one-word reply is not a substantive exchange. Do not flatter or accept agreement as evidence. Praise only a concrete move I made. If evidence is missing, say what is missing and ask for it. Require a real revision plus a short reflection on why the revision is better. Do not issue the report early.

EXIT CONDITION: Continue until at least five substantive exchanges have occurred AND I have supplied all four results and their brief interpretations AND written my message to my cousin AND revised at least one calculation or explanation AND reflected on the revision. Stop only after whichever requirement happens last.

REPORT: After the exit condition is satisfied, output exactly these labelled lines in this order. Replace X with the exact earned score; it may end in .5 and must not be rounded to a whole number. Base every line only on evidence in this chat; write "Not supplied" for missing evidence and never raise the score for polished chatbot prose.
STUDENT'S SCORE: X/100
EVIDENCE FOR THE SCORE: [specific evidence from my calculations and reasoning]
REVISION MADE: [what I changed and why]
STRENGTH: [one earned strength]
NEXT STEP: [one concrete improvement]
Then tell me to submit this report, my revised data-reading report, and the share link.
COPY EVERYTHING ABOVE THIS LINE

Deliverables

Submit these three items in the assignment entry:

• your revised data-reading report with all four answers, their brief interpretations, and your message to your cousin — written, or recorded as audio or video with a transcript, or as a labelled diagram of the census shares with a short note; every form is graded by the same scoring criteria;
• the coach's five-line report; and
• the conversation share link.

Submit in any accessible file type or as a link; a recorded response may be submitted as audio or video with a transcript, or as text.

Equivalent route (no AI required)

This route assesses the same Week 10 skills — reading self-identified census shares in the Census Bureau's own labels, keeping the race question and the separate Hispanic-origin question apart, telling "alone" from "alone or in combination", writing a change in percentage points, and separating a change in the population from a change in the question — for comparable time and effort, about 60 to 90 minutes, the same as the coached route. Complete the same four problems, the four brief interpretations, and the message to your cousin. Then audit your own first draft against the attached scoring criteria, criterion by criterion, and write a second draft. Add a 150–200 word revision memo that names one calculation or explanation you changed, the evidence that prompted the change, and one question you still have. Submit the revised data-reading report, your completed criteria checklist, and the revision memo in the assignment entry; together they replace the share link and the coach's report. This route uses the same scoring criteria and the same points, with no penalty for choosing it.

How you'll be graded

The full analytic rubric is attached to this assignment in Canvas.

Academic integrity and AI use

The calculations, reasoning, revision, and final report must be your own. Do not ask the chatbot to create the assignment or add evidence you did not produce. Submit an honest share link from your own dialogue. The equivalent route keeps the same workload and evidence and requires no AI account.

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