Data Insights: Two-Part Analysis Flashcards

A budget allows two purchases that together cost exactly $100, where item prices available are $20, $35, $45, $55, $65, and $80. Which value works as the cheaper item paired with another to total $100?

Answer: $35

$35 + $65 = $100, both valid options in the list.

From the same list ($20, $35, $45, $55, $65, $80), which value pairs with $35 to total $100?

Answer: $65

$35 + $65 = $100.

A Two-Part question gives a function f(n) = 2n + 3. You must identify an input giving output 11 and an input giving output 17. The input for output 11 is:

Answer: 4

2n + 3 = 11 gives 2n = 8, so n = 4.

With f(n) = 2n + 3, the input giving output 17 is:

Answer: 7

2n + 3 = 17 gives 2n = 14, so n = 7.

In a trade-off scenario, you must choose a strategy that maximizes reach and one that minimizes cost. Why might these require different selections?

Answer: Optimizing one objective often conflicts with the other

Competing objectives typically have different optimal choices, which Two-Part Analysis tests.

A ratio of boys to girls is 3:2 in one class and 4:3 in another. If you pick the class with more girls per boy, which ratio indicates that?

Answer: 3:2

3:2 means 0.667 girls per boy versus 0.75 for 4:3; wait—4:3 gives 0.75 girls per boy, which is more.

Reconsidering, which ratio actually has MORE girls per boy, 3:2 or 4:3?

Answer: 4:3

4:3 = 0.75 girls per boy exceeds 3:2 = 0.667 girls per boy.