Your samle is normally distributed with a mean age of 57. The standard deviation iin this sample is 5 years.The 2000 census shows your sample is older than a randomly selected national sample. The median agein your sample is?
In a normal distribution, mean = median = mode.
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To determine the median age in your sample, we need to consider the distribution of ages and the fact that it is normally distributed with a mean age of 57 and a standard deviation of 5 years.
In a normal distribution, the median is equal to the mean. This means that the median age in your sample would also be 57.
However, the information about the 2000 census stating that your sample is older than a randomly selected national sample suggests that there might be a bias or difference in the distribution of ages between the two samples.
To obtain more accurate information on the median age in your sample, you would need additional data, such as the individual ages of the people in your sample, to calculate the precise median age.