find the standard deviation of all nodes in a linked list in javascript

To find the standard deviation of all nodes in a linked list, we can follow these steps:

  1. Traverse the linked list and calculate the mean of all the node values.
  2. Traverse the linked list again and calculate the sum of the squared differences between each node value and the mean.
  3. Divide the sum of the squared differences by the number of nodes to get the variance.
  4. Take the square root of the variance to get the standard deviation.

Here's the implementation of the algorithm in JavaScript:

index.tsx
function calcStdDeviation(head) {
  // Step 1: calculate the mean
  let sum = 0;
  let count = 0;
  let curr = head;
  while (curr) {
    sum += curr.value;
    count++;
    curr = curr.next;
  }
  const mean = sum / count;

  // Step 2: calculate the sum of squared differences
  let squaredDiffSum = 0;
  curr = head;
  while (curr) {
    squaredDiffSum += (curr.value - mean) ** 2;
    curr = curr.next;
  }

  // Step 3: calculate the variance
  const variance = squaredDiffSum / count;

  // Step 4: calculate the standard deviation
  const stdDev = Math.sqrt(variance);

  return stdDev;
}
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This function takes the head node of a linked list as input and returns the standard deviation of all the node values.

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