In a normal distribution, most samples are close to which value?

In a normal distribution, most samples are close to which value?

• A. The median.
• B. The mean.
• C. The mode.
• D. The minimum.

Answer: (B)

In a normal distribution, data cluster around the center of the curve. The mean sits exactly at that center, and because the distribution is symmetric, the mean, median, and mode coincide at that same central value. This central point is where the peak occurs and where most observations lie, with about 68% within one standard deviation of the mean, and more beyond that. The minimum is located in the far tail and contains relatively few observations, so it’s not where most samples are found. Therefore, the value around which most samples gather is the mean.

In a normal distribution, data cluster around the center of the curve. The mean sits exactly at that center, and because the distribution is symmetric, the mean, median, and mode coincide at that same central value. This central point is where the peak occurs and where most observations lie, with about 68% within one standard deviation of the mean, and more beyond that. The minimum is located in the far tail and contains relatively few observations, so it’s not where most samples are found. Therefore, the value around which most samples gather is the mean.