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median

Calculate the median of a list of numbers for accurate statistical analysis. Input an array of numerical values to derive the central value in the dataset.

Instructions

Calculates the median of a list of numbers

Input Schema

TableJSON Schema
NameRequiredDescriptionDefault
numbersYesArray of numbers to find the median of

Implementation Reference

  • Handler function that executes the median tool logic by calling Statistics.median(numbers) and returning the result as text content.
    }, async ({ numbers }) => {
        const value = Statistics.median(numbers)
    
        return {
            content: [{
                type: "text",
                text: `${value}`
            }]
        }
    })
  • Input schema using Zod: requires an array of at least one number.
    numbers: z.array(z.number()).min(1).describe("Array of numbers to find the median of")
  • src/index.ts:148-148 (registration)
    Registration of the 'median' tool on the mathServer with description, schema, and handler.
    mathServer.tool("median", "Calculates the median of a list of numbers", {
  • Core implementation of median calculation: sorts the array, handles odd/even length to find middle value(s).
    static median(numbers: number[]) {
        //Sort numbers
        numbers.sort()
    
        //Find the median index
        const medianIndex = numbers.length / 2
    
        let medianValue: number;
        if (numbers.length % 2 !== 0) {
            //If number is odd
            medianValue = numbers[Math.floor(medianIndex)]
        } else {
            //If number is even
            medianValue = (numbers[medianIndex] + numbers[medianIndex - 1]) / 2
        }
    
        return medianValue
    }
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