Question

The age at retirement of 30 randomly selected men from two different towns was collected. Fifteen of the men were from Newtonia and 15 of the men were from Euclidia. The following statistical information was calculated from the data. Newtonia Euclidia Mean 65 73 Median 60 72 Mode 62 62 Range 50 33 Based on these samples, what generalization can be made? A. The most common age for retirement in Newtonia is the same as the most common age for retirement in Euclidia. B. More men retire in Euclidia than in Newtonia. C. At least half of the men in both towns will retire before they reach 60 years of age. D. The range of retirement ages is greater in Euclidia than in Newtonia.

Answer 1

Based on the provided data, the correct generalization is that the most common age for retirement in both Newtonia and Euclidia is 62. This is supported by the fact that both towns have a mode of 62 for retirement age.

Step-by-step explanation:

Looking at the statistical data provided for the two towns, Newtonia and Euclidia, we can analyze and make generalizations about the retirement age of men in these towns.

For Newtonia, the mean retirement age is 65, the median is 60, and the mode is 62, with a range of retirement ages spanning 50 years. Meanwhile, in Euclidia, the mean retirement age is higher at 73, with a median of 72 and the same mode as Newtonia at 62, but with a smaller range of 33 years.

Option A is correct because it states that the most common age for retirement in Newtonia is the same as the most common age for retirement in Euclidia, which is 62. Option B cannot be inferred from the given data as it only shows the ages of retirement, not the total number of men retiring. Option C is incorrect because the median retirement ages for both towns are above 60 years old. Lastly, option D is incorrect as the range of retirement ages is actually greater in Newtonia than in Euclidia.