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#1. Picasso, a museum owner, is concerned about patrons touching his artwork. To assess this, he installs a camera to observe spectator behavior around a particular painting. Over a specific observation period, he recorded the actions of 20 patrons who walked by the painting. His data indicated that 8 patrons touched the painting, 5 patrons stood and observed the painting without touching, and 7 patrons walked directly past the painting without stopping or touching. Based on this observational data, what percentage of the observed occurrences involved patrons not touching the painting?
This question tests the ability to extract relevant information from a scenario and perform a basic percentage calculation which is a fundamental skill in ABA for data interpretation The key is to correctly identify the total number of occurrences and the specific number of occurrences for the behavior of interest in this case not touching the painting Heres the breakdown of the data Total number of patrons observed 20 Number of patrons who touched the painting 8 Number of patrons who stood and observed without touching 5 Number of patrons who walked past without touching 7 The question specifically asks for the percentage of occurrences where patrons did not touch the painting To find this we first need to identify the number of patrons who did not touch the painting There are two ways to calculate the number of patrons who did not touch 1 Add the patrons who stood and observed 5 and those who walked past 7 5 7 12 patrons 2 Subtract the number of patrons who did touch from the total number of patrons 20 total 8 touched 12 patrons Both methods yield 12 patrons who did not touch the painting Now to calculate the percentage we use the formula Number of occurrences of interest Total number of occurrences 100 12 20 100 060 100 60 Therefore 60 of the observed occurrences involved patrons not touching the painting This question also serves to highlight how extraneous information the breakdown of how patrons not touching acted can be provided to test careful reading and data selection
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