The sum of deviations taken from the mean is always equal to zero.

Here's why:

1. The mean is calculated by adding all the numbers in a data set and then dividing by the count of those numbers.

2. A deviation is calculated by subtracting the mean from each number in the data set.

3. If you add up all these deviations, the sum will be zero. This is because the positive and negative deviations will cancel each other out.

4. This is a fundamental property of the mean and is always true, regardless of the specific numbers in the data set.

Question

The sum of deviations taken from the mean is always equal to zero.

Here's why:

1. The mean is calculated by adding all the numbers in a data set and then dividing by the count of those numbers.

2. A deviation is calculated by subtracting the mean from each number in the data set.

3. If you add up all these deviations, the sum will be zero. This is because the positive and negative deviations will cancel each other out.

4. This is a fundamental property of the mean and is always true, regardless of the specific numbers in the data set.

Knowee AI · Accepted Answer

The sum of deviations taken from the mean is always equal to zero.

Here's why:

1. The mean is calculated by adding all the numbers in a data set and then dividing by the count of those numbers.

2. A deviation is calculated by subtracting the mean from each number in the data set.

3. If you add up all these deviations, the sum will be zero. This is because the positive and negative deviations will cancel each other out.

4. This is a fundamental property of the mean and is always true, regardless of the specific numbers in the data set.

The sum of deviations taken from mean is(1 Point)Always equal to zero Sometimes equal to zeroNever equal to zeroLess than zero