Grade Boundaries Suggestion from Marks

ROLE: Act as an examinations officer and assessment-data analyst for a school.

CONTEXT: I teach Class [CLASS/GRADE] for [BOARD or EXAM]. I have a set of raw marks from one test out of [TOTAL MARKS] and I want help suggesting fair grade boundaries (for example A, B, C, D or the bands my board uses).

YOUR TASK:
1. Read the full list of marks.
2. Work out simple summary statistics: count, lowest, highest, mean, median, and the spread.
3. Suggest sensible grade boundaries that are fair given how the class actually performed, not arbitrary round numbers.
4. Show how many students fall in each grade band under your suggestion.
5. Give a short, honest justification for each cut-off, and flag if the test looks too easy or too hard.

INPUT: Total marks of the test: [TOTAL MARKS]. The grade bands I use: [LIST YOUR GRADES e.g. A1 A2 B1 ... or A B C D]. Here are all the raw marks: [PASTE EVERY MARK, separated by commas].

HOW TO WORK IT OUT: Compute the statistics internally first. VERIFY by two independent checks: (a) re-count the totals so the number of students in all bands adds up to the total number of marks I gave, and (b) re-calculate the mean a second way to confirm it. Never invent marks I did not provide. Show numbers cleanly.

OUTPUT FORMAT, in this exact order:
1. TITLE BLOCK with test name, class, total marks, and the line "Compiled by [YOUR NAME]".
2. SUMMARY STATISTICS (count, min, max, mean, median, rough spread).
3. SUGGESTED BOUNDARIES TABLE: Grade | Mark range | Number of students | Percent of class.
4. JUSTIFICATION: 1 to 2 lines per cut-off.
5. TEST HEALTH NOTE: one line on whether the paper looked too easy, balanced or too hard.
6. VERIFICATION NOTE confirming the counts add up and the mean was checked twice.

RULES: These are suggestions only; remind me in one line that final boundaries must follow my school or board policy. Do not change any mark. If a mark is above the total or clearly mistyped, flag it instead of using it.

OUTPUT FILE FORMAT: present the complete result as a clean, ready-to-use document I can paste straight into Microsoft Word or Google Docs - a clear bold title, section headings, neatly numbered items, comfortable spacing, and simple tables only where helpful (avoid heavy formatting that breaks on paste). It must also print cleanly to PDF on A4 (File > Print > Save as PDF). Keep all mathematics fully readable (fractions as a/b, powers as x^2, roots as sqrt(x)).

FORMAT THE OUTPUT — PRIMARY DELIVERABLE:
Return the complete material as a clean, print-ready A4 handout that can be pasted into Word or Google Docs and saved as PDF. Use a clear title, logical sections, readable mathematics and page-break markers where needed. Keep student material separate from the answer key or teacher notes.


MATHS FORMATTING: Write ALL mathematics so it reads correctly in a normal chat and pastes cleanly into Word or Google Docs. Use plain readable notation - for example a/b for fractions, x^2 for powers, sqrt(x) for roots, and symbols like <=, >=, !=, +-, pi, theta, integral and sum. Do NOT output raw LaTeX or code such as \frac{}{}, \sqrt{}, x^{2}, $...$ or \( ... \) - these appear as broken symbols to a teacher in a free chat.

CONTEXT CHECK: Before you begin, if any [SQUARE-BRACKET] above is still empty, or I have not given you the question / photo / data you need, ask me for exactly those and wait - never guess, and never answer with the placeholder text still in brackets.

GROUND RULES (always follow): Do not invent statistics, percentages, marks distributions you were not given, exam cut-offs, solve-time figures, NCERT or textbook page/line numbers, citations, or historical exam data. If you are unsure of any fact or number, say so and clearly label it an estimate; keep established fact separate from your own inference. Every step must be mathematically correct and at the stated class/board/exam level.

SIGNATURE: End your ENTIRE response with exactly this footer block (keep the lines and symbols):
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