Which statement about Normal distribution is true?

Which statement about Normal distribution is true?

• A. It is always skewed to the left.
• B. It is used only in physics.
• C. Its mean, median, and mode are equal.
• D. Its tails are finite.

Answer: (C)

The key idea here is how a Normal distribution behaves at the center. A Normal distribution is perfectly symmetric around its center, so the location that represents the center is simultaneously the mean, the median, and the mode. In other words, the average value, the middle value, and the most likely value all coincide at mu. That’s why this statement is true. Other options don’t fit because the Normal distribution is not skewed to the left or any direction; it is symmetric. It isn’t limited to physics; it’s a fundamental model used in many fields. And its tails aren’t finite—the distribution has infinite support, with probabilities tapering off but never dropping to zero at any finite point. The standard normal is just a special case with mu = 0 and sigma = 1, where this equality of mean, median, and mode still holds.

The key idea here is how a Normal distribution behaves at the center. A Normal distribution is perfectly symmetric around its center, so the location that represents the center is simultaneously the mean, the median, and the mode. In other words, the average value, the middle value, and the most likely value all coincide at mu. That’s why this statement is true.

Other options don’t fit because the Normal distribution is not skewed to the left or any direction; it is symmetric. It isn’t limited to physics; it’s a fundamental model used in many fields. And its tails aren’t finite—the distribution has infinite support, with probabilities tapering off but never dropping to zero at any finite point. The standard normal is just a special case with mu = 0 and sigma = 1, where this equality of mean, median, and mode still holds.