Get `n` random values between 2 numbers having average `x`

Question

I want to get n random numbers(e.g n=16)(whole numbers) between 1 to 5(including both) so that average is x.

x can be any value between (1, 1.5, 2, 2.5, 3,

Answer 1

I have written the JS implementation for this:

function getRandom(min, max) {
  return Math.random() * (max - min) + min;
}
function getArr(size, avg, min, max) {
  let arr = [];
  let tmax = max;
  let tmin = min;
  while (arr.length < size) {
    const variable1 = +getRandom(min, tmax).toFixed(1);
    let variable2 = +(avg * 2 - variable1).toFixed(1);
    if (variable2 < min) {
      tmax = max - (min - variable2);
      variable2 = min;
    } else if (variable2 > max) {
      tmin = min + (variable2 - max);
      variable2 = max;
    } else {
      tmax = max;
      tmin = min;
    }
    arr = arr.concat([variable1, variable2]);
  }
  let sumErr = arr.reduce((a, b) => a + b, 0) - avg * size;
  if (sumErr > 0) {
    arr = arr.map((x) => {
      if (x > min && sumErr > 0.001) {
        let maxReduce = x - min;
        if (maxReduce > sumErr) {
          const toReturn = +(x - sumErr).toFixed(1);
          sumErr = 0;
          return toReturn;
        } else {
          sumErr -= maxReduce;
          return min;
        }
      }
      return x;
    });
  } else {
    arr = arr.map((x) => {
      if (x < max && sumErr < -0.001) {
        let maxAdd = max - x;
        if (maxAdd > Math.abs(sumErr)) {
          const toReturn = +(x + Math.abs(sumErr)).toFixed(1);
          sumErr = 0;
          return toReturn;
        } else {
          sumErr += maxAdd;
          return max;
        }
      }
      return x;
    });
  }

  return arr.sort(() => Math.random() - 0.5);
}

const output = getArr(40, 2.01, 0.5, 2.5)
const outputAvg = output.reduce((a, b) => a + b, 0) / 40
console.log(`givenAvg: ${2.01} outputAvg: ${outputAvg}`)
console.log(output)