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Scenario: A school psychologist at Henry D. Thoreau High School wants to know how many times students drink caffeinated beverages during the school year. The

Scenario: A school psychologist at Henry D. Thoreau High School wants to know how many times students drink caffeinated beverages during the school year. The information will help her determine a school-wide information session about the effects of caffeine use on physical and mental health. She collects data from a sample of 100 students. You will find the data in the spreadsheet attached here. Copy and paste it into SPSS for analysis.

Computation and Interpretation. Use SPSS to compute the following measures of central tendency, then interpret what those results tell you about the sample:

  1. Mean
  2. Median
  3. Mode
  4. Range
  5. Standard deviation

In your written answer document, include the following for each statistic:

  • The answer you obtained from SPSS
  • An interpretation of what each statistic tells you about the variable

For example, each of your answers might look something like this: "The mean of this sample is ______. The mean I computed tells me that ____________." Be sure to also include supporting evidence from the text and/or class resources to support each answer.

Part 2: Conceptual Understanding. Answer the following questions about the data set and resulting distribution, again, making sure to support each answer with evidence from the text and/or class resources and explaining each answer thoroughly.

6. Without redoing any calculations, think critically about how each measure would be affected if the highest score was eliminated from the data set. Explain if each measure (mean, median, mode, range, and standard deviation) would increase, decrease, or stay the same.

7. Use the relative positions of the mean, median, and mode to identify the shape of the distribution (positive skew, negative skew, or normal distribution). Explain what the shape of this distribution tells you about the sample.

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