In a weight-loss program study with a mean BMI of 30 and a median BMI of 25, which statement accurately describes the sample?

The correct answer highlights the definition of the median. The median is the middle value of a dataset when it is arranged in ascending order. When the median BMI is stated to be 25, it means that half of the participants have a BMI below 25 and half have a BMI above 25. This measurement specifically indicates that the distribution of BMI data is centered around this median value, which serves as a point of balance.

In a study where the mean BMI is 30 and the median is 25, the present data suggest a right-skewed distribution. This indicates that there are likely a significant number of participants with higher BMI values that are pulling the mean upwards while the median remains lower, reflecting that half of the participants must still be at or below 25. Thus, this confirms that while there are participants above and below the median, exactly half sit on either side of this value, making the statement accurate.

Other provided options do not correctly interpret the implications of median and mean values in the dataset.