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GRE
GRE Quantitative Reasoning Section

Mean and Standard Deviation Comparison

Very Hard Data Analysis Descriptive Statistics

Consider the following data representing the scores of two groups of students on a standardized test:

Group A: 70, 75, 80, 85, 90
Group B: 65, 70, 75, 85, 95

Calculate the following:

  1. Mean of Group A
  2. Mean of Group B
  3. Standard Deviation of Group A
  4. Standard Deviation of Group B

Using these calculations, determine the relationship between the means and standard deviations of the two groups. Let Quantity A be the difference between the means of two groups, and Quantity B be the difference between their standard deviations.

Hint

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