Data is collected on retirement age, from a sample of the US population. Most US workers are eligble to retire when they are 60 65 years old, but a few have the opportunity to retire early.
(a) Describe the distribution of the data.
Symmetric
Left skewed
Right skewed
None of the above
(b) Which measure of center would be most appropriate for analyzing the data?
Median
Mean
Mode
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Step 1 ：The question is asking for a description of the distribution of retirement age data and the most appropriate measure of center for analyzing the data.

Step 2 ：For part (a), we don't have the actual data, but we know that most US workers retire between 60 and 65, and only a few retire early. This suggests that the distribution might be right skewed, with a longer tail on the left side (early retirement ages).

Step 3 ：For part (b), when a distribution is skewed, the median is often a better measure of center than the mean, because it is not affected by extreme values. The mode might also be useful, but it only tells us the most common retirement age, not the central tendency of the data.

Step 4 ：However, without the actual data, these are just educated guesses. We would need to look at the data to confirm our thoughts.

Step 5 ：Final Answer: (a) The distribution of the data is likely to be \(\boxed{\text{Right skewed}}\). (b) The most appropriate measure of center for analyzing the data is likely to be the \(\boxed{\text{Median}}\).