Data Insights: Two-Part Analysis Flashcards

A Two-Part Analysis often pairs a 'minimum' and 'maximum' task. If a set of integers must sum to 30 with values chosen from {2, 4, 6, 8, 10}, which single value could be the minimum element used?

Answer: 2

2 is the smallest available value and can be part of a valid sum to 30.

From {2, 4, 6, 8, 10}, which single value is the maximum element available?

Answer: 10

10 is the largest value in the set.

An investment doubles every period. You must find the period when value first exceeds 8 times the start and when it first exceeds 16 times. Starting at 1, it first exceeds 8x at period:

Answer: 4

Values are 2, 4, 8, 16; period 4 gives 16 which is the first to exceed 8.

Using the same doubling (start 1: 2, 4, 8, 16, 32), it first exceeds 16x at period:

Answer: 5

Period 5 gives 32, the first value to exceed 16.

Why is it important to read both task headers carefully in Two-Part Analysis before selecting?

Answer: Each column may have a distinct condition that changes the correct value

The two columns usually test different conditions, so misreading a header leads to wrong selections.

A mixture must be 40% acid. You combine two solutions; one selection is the percentage that, mixed equally with 60% acid, yields 40%. That value is:

Answer: 20%

Equal mix: (x + 60)/2 = 40 gives x = 20%.

If instead the target is a 50% acid mixture by equal combination with a 60% solution, the other solution must be:

Answer: 40%

(x + 60)/2 = 50 gives x = 40%.