Final answer:
The statement that the mean and the median of the chi-square distribution are the same when df = 24 is false; the mean is equal to the degrees of freedom, while the median is slightly less.
Step-by-step explanation:
The mean and the median of the chi-square distribution are same if df (degrees of freedom) is equal to 24 is False. While it's true that as the number of degrees of freedom increases, the chi-square distribution becomes more symmetrical, the mean and the median are not the same. In a chi-square distribution, the mean is equal to the df, while the median is slightly less than the df. Specifically, for a chi-square distribution with df = 24, the mean would be 24, but the median would be slightly lower. Therefore, the correct answer is False.