Case Study

Based on the observed distribution of Beck Depression Inventory scores, explain what the pattern of two distinct peaks indicates about the overall shape of the distribution and what it suggests about the homogeneity of the sample.

Case context: A clinical psychology researcher collects scores on the Beck Depression Inventory (BDI) from a large sample. Upon plotting the frequency distribution of these scores, they observe a pattern that does not follow a normal distribution. Instead, the graph reveals two distinct peaks.

Question: Based on the observed distribution of Beck Depression Inventory scores, explain what the pattern of two distinct peaks indicates about the overall shape of the distribution and what it suggests about the homogeneity of the sample.

Sample answer: The pattern of two distinct peaks indicates that this is a bimodal distribution. It suggests that the sample is not homogeneous and instead consists of divergent subpopulations within the dataset, represented by the two peaks.

Key points:

  • Identify the pattern as a bimodal distribution.
  • Explain that the shape is characterized by two distinct peaks.
  • Understand that this implies the presence of divergent subpopulations rather than a homogeneous dataset.

Rubric: The answer must identify the distribution pattern as bimodal and explain that the two distinct peaks show the sample is not homogeneous but contains divergent subpopulations.

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Updated 2026-05-27

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Research Methods in Psychology - 4th American Edition @ KPU

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