1. If the mean is 40 in a normal distribution, what is the median?
In a normal distribution, mean = median = mode.
To determine the median of a normal distribution, we need more information than just the mean. The mean only represents the central tendency of the distribution, whereas the median represents the midpoint of the data. In a normal distribution, the mean and median are typically the same, but it is not always the case.
However, if we assume that the normal distribution is symmetric and bell-shaped, we can estimate the median to be equal to the mean. So in this case, if the mean is 40 in a normal distribution, we can estimate the median to be 40 as well.
It's important to note that this estimate is based on the assumptions of symmetry and normality, and the actual median could be slightly different in real-world situations. To calculate the exact median, we would need additional information such as the standard deviation or specific data points from the distribution.