Question

The median number of parks cleaned by 10 service workers in a certain year is 4. The range of the number of parks cleaned by those service workers that year is 7.

Determine if the following statement is true, false, or does not contain enough information: At least one service worker cleaned 4 parks.
A) True
B) False

Answer 1

The median number of parks cleaned being 4 does not guarantee that any worker cleaned 4 parks, hence the statement 'At least one service worker cleaned 4 parks' is false.

Step-by-step explanation:

The question asks about the statistical concept of median and range. It is stated that the median number of parks cleaned by 10 service workers is 4, and the range of the number of parks cleaned is 7. The median is the middle value of an ordered dataset, which means that half of the workers cleaned fewer than 4 parks, and half cleaned more. However, this information alone does not guarantee that any of the workers cleaned exactly 4 parks. Therefore, the statement "At least one service worker cleaned 4 parks" cannot be confirmed as true solely based on the provided median and range values, so the correct answer to the question is B) False.