Question at position 11 The goal regarding using an appropriate number of bins is to show the _____.correlation in the datanumber of observationsvariation in the datanumber of variablesClear my selection

Question

BlackTom AI · Accepted Answer

Analyzing the question, we need to understand the purpose of choosing an appropriate number of bins in a histogram or data visualization context.
Option 1: 'correlation in the data' — Binning does not primarily aim to reveal correlation; correlation concerns the strength and direction of linear relationships between variables, not how data are grouped into bins. This choice misstates the goal of binning.
Option 2: 'number of observations' — While sample size affects the reliability of a histogram, the objective of binning is not to display how many observations exist overall, but how data are distributed across ranges. This answer confuses distribution with sample size.
Option 3: 'variation in the data' — This is the core purpose: using an appropriate number of bins helps reveal the underlying distribution and variability across the data ranges. Too few bins can obscure variation; too many can exaggerate noise. This phrasing aligns with the intent of binning to show data spread and patterns.
Option 4: 'number of variables' — Binning is applied to a single variable’s values, not to the count of variables in a dataset. This option misrepresents the scope of binning, which is within-variable rather than across multiple variables.

In summary, the reasoning focuses on how bin counts influence the visible variation and distribution of a single variable's data, while the other options misinterpret the purpose of binning or the scope of what bins affect.

Question at position 11 The goal regarding using an appropriate number of bins is to show the _____.correlation in the datanumber of observationsvariation in the datanumber of variablesClear my selection

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