A nonprofit wants a region that offers a higher typical stipend with a tighter spread for budgeting. Annual stipend summaries:- Region M: median $520, range $180- Region N: median $480, range $220Which conclusion is best supported?

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BlackTom AI · Accepted Answer

We’re given annual stipend summaries for two regions and asked to determine which conclusion is best supported for a higher typical stipend with a tighter spread.
Option a: 'Choose Region M; higher median but wider range.' Region M has a higher median ($520) than Region N ($480), which supports higher typical stipend. However, M’s range is $180 (from $? to $?) and is described as a tighter spread in the question, while N has a wider or comparable spread. Since a wider range contradicts the requirement of a tighter spread, this option is inconsistent with the stated goal.
Option b: 'Choose Region N; higher median and narrower range.' Region N actually has a lower median ($480) than Region M ($520), so this option is factually incorrect about the higher median. It also mentions a narrower range, which would be good, but the median claim is false.
Option c: 'Choose Region M; higher median and narrower range.' This matches both criteria: Region M has the higher median ($520 vs $480) and the information implies Region M has a narrower spread/or at least not wider than N, aligning with a tighter budgetary range. This option is consistent with the goal of higher typical stipend and tighter spread.
Option d: 'Choose Region N; higher median but wider range.' This flips the median and range compared to the data: N does not have the higher median, and it also states a wider range, which would not satisfy the preference for a tighter spread.
In summary, Option c correctly reflects that Region M offers the higher median stipend and a narrower spread, aligning with the nonprofit’s budgeting preference. The other options misstate either the median, the spread, or both, leading to incorrect conclusions about which region best fits the criteria.

MDM4U - Mathematics of Data Management 12 (2025-26) - A

A nonprofit wants a region that offers a higher typical stipend with a tighter spread for budgeting. Annual stipend summaries:- Region M: median $520, range $180- Region N: median $480, range $220Which conclusion is best supported?

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