Question

a manager reviews monthly sales from five workers. each worker made a different number of sales. the manager says: “the average number of sales was 30. but the numbers were very spread out.” what does the manager’s observation mean with respect to the data?
○ the data were exact.
○ all workers made 30 sales.
○ nobody made more than 30 sales.
○ some workers made more sales, some made less.

Explanation:

1. Analyze the first option: "The data were exact" - The manager's comment about numbers being spread out has nothing to do with the data being exact. Exactness refers to precision, not spread, so this is incorrect.
2. Analyze the second option: "All workers made 30 sales" - The problem states each worker made a different number of sales, so they can't all be 30. Also, "spread out" contradicts all being the same, so this is wrong.
3. Analyze the third option: "Nobody made more than 30 sales" - If numbers are spread out with an average of 30, it's possible some made more (to balance those who made less) to get the average. So this is incorrect.
4. Analyze the fourth option: "Some workers made more sales, some made less" - The average is 30, and "very spread out" means the data points (sales numbers) are far from each other. For the average to be 30 with spread out values, some must be above 30 and some below to balance out to the average, which matches this option.

Answer:

D. Some workers made more sales, some made less.