At which point does the mean fall in a normal probability curve?

At which point does the mean fall in a normal probability curve?

• A. At the highest point
• B. At the lowest point
• C. At the center
• D. At one standard deviation distance

Answer: (C)

The mean in a normal probability curve represents the average value of the data set and is positioned at the center of the distribution. In a perfectly symmetrical normal distribution, the mean, median, and mode all coincide at this central point. This central location of the mean is crucial because it divides the curve into two equal halves, where approximately 50% of the values lie below the mean and 50% lie above it. This characteristic illustrates one of the foundational aspects of the normal distribution, which is used extensively in statistical analysis and inference. The highest point of the curve corresponds to the mean due to the distribution's bell shape, indicating that it is the most frequent value in the data set.

The mean in a normal probability curve represents the average value of the data set and is positioned at the center of the distribution. In a perfectly symmetrical normal distribution, the mean, median, and mode all coincide at this central point. This central location of the mean is crucial because it divides the curve into two equal halves, where approximately 50% of the values lie below the mean and 50% lie above it. This characteristic illustrates one of the foundational aspects of the normal distribution, which is used extensively in statistical analysis and inference. The highest point of the curve corresponds to the mean due to the distribution's bell shape, indicating that it is the most frequent value in the data set.