What tells us the center of the distribution?

What tells us the center of the distribution?

• A. Expected value
• B. Variance
• C. Standard deviation
• D. Range

Answer: (A)

The center of a distribution is captured by the expected value, which is the mean. It represents the average outcome you’d expect if you could repeat the experiment many times and average the results; it’s the balance point of the distribution. Variance and standard deviation describe how spread out the data are around that center, not the center itself. Range only tells how far the smallest and largest values are apart, again not the central tendency. For a simple intuition, if outcomes are 0 and 1 with equal probability, the mean (the center) is 0.5, the point around which the distribution centers.

The center of a distribution is captured by the expected value, which is the mean. It represents the average outcome you’d expect if you could repeat the experiment many times and average the results; it’s the balance point of the distribution.

Variance and standard deviation describe how spread out the data are around that center, not the center itself. Range only tells how far the smallest and largest values are apart, again not the central tendency.

For a simple intuition, if outcomes are 0 and 1 with equal probability, the mean (the center) is 0.5, the point around which the distribution centers.