Round #1013

19 May 2026, 10:23· math· Meta-Llama-3.3-70B-Instruct· r13-clean-hints
Complexity
band 0
ZP / UO / OBS
3 / 0 / 0
Journey weight
255
Lightshift ΔL

Prompt

Given the data set {4, 8, 6, 5, 3, 7, 8}, compute the mean, median, and mode.

Zero-point index (what the engine surfaced)

ZPI-ZPI-0010 | 2026-05-19T10:23:22Z Given the data set {4, 8, 6, 5, 3, 7, 8}, compute the mean, median, and mode. ZERO POINT — 3 entries (structural invariants) ● hsl(191.58, 100%, 15%) arithmetic mean Σx_i / n [contract] ● hsl(175.07, 100%, 15%) median: middle value of ordered sample [contract] ● hsl(27.26, 100%, 15%) mode: most frequent value [contract] UNOBSERVED — 0 entries (implied truths) OBSERVED — 0 entries (explicit in request) COMPLEXITY │ 3 entries │ spread: 0° │ band: LOW

Baseline response (no ZPI)

```csharp using System; using System.Linq; class Program { static void Main() { // Define the dataset int[] data = { 4, 8, 6, 5, 3, 7, 8 }; // Compute the mean double mean = data.Average(); Console.WriteLine("Mean: " + mean); // Compute the median Array.Sort(data); double median; if (data.Length % 2 == 0) median = (data[data.Length / 2 - 1] + data[data.Length / 2]) / 2.0; else median = data[data.Length / 2]; Console.WriteLine("Median: " + median); // Compute the mode var groups = data.GroupBy(x => x).OrderByDescending(x => x.Count()); int mode = groups.First().Key; Console.WriteLine("Mode: " + mode); } } ```

Enhanced response (with ZPI)

```csharp using System; using System.Linq; public class StatisticsCalculator { public static void CalculateStatistics(int[] data) { // Calculate mean double mean = data.Average(); Console.WriteLine($"Mean: {mean}"); // Calculate median Array.Sort(data); double median; int n = data.Length; if (n % 2 == 0) { median = (data[n / 2 - 1] + data[n / 2]) / 2.0; } else { median = data[n / 2]; } Console.WriteLine($"Median: {median}"); // Calculate mode var groups = data.GroupBy(x => x).OrderByDescending(x => x.Count()); int mode = groups.First().Key; Console.WriteLine($"Mode: {mode}"); } public static void Main(string[] args) { int[] data = { 4, 8, 6, 5, 3, 7, 8 }; CalculateStatistics(data); } } ``` This C# code calculates the mean, median, and mode of a given data set. The `CalculateStatistics` method takes an array of integers as input, calculates the mean using the `Average` method, the median by sorting the array and finding the middle value, and the mode by grouping the data by value and finding the most frequent value. The results are then printed to the console. The `Main` method demonstrates how to use this method with a sample data set.

Grader chain

Each grader reads the same baseline + enhanced pair and casts an independent verdict. Disagreement is the framework's own signal — not noise to be averaged away.

V1samba/Meta-Llama-3.3-70B-Instruct
Better
V4qwen2.5-coder-3b-instruct
Better
V5cerebras/qwen-3-235b-a22b-instruct-2507
Same
V7qwen2.5-coder-7b-instruct
Same
V8openai/gpt-4.1
Better
V9anthropic/claude-opus-4-7
Same
V12openai/gpt-4o
Better

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