Final answer:
The statement is true because for any distribution, the sum of differences from the mean will always add up to zero, with positive and negative differences canceling each other out.
Step-by-step explanation:
The final answer: True. The sum of the differences must be zero for any distribution consisting of n observations. Explanation: True. The sum of the differences must be zero for any distribution consisting of n observations. This is because when you calculate the sum of differences from the mean for each data point in a distribution, positive differences from some data points will offset the negative differences from others, resulting in a combined sum of zero. This property is a fundamental aspect of the mean and holds true for any distribution, be it normal or otherwise.
The sum of the differences must be zero for any distribution consisting of n observations. This is because the sum of all differences from the mean is always zero. When calculating the mean, positive differences cancel out negative differences, resulting in a sum of zero. This property holds true for any distribution, whether it is normal or not.