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Understanding Standard Deviation and Z-Scores in Teen School Absenteeism Comparison

In analyzing school absenteeism, data from Mrs. Lea's and Mrs. Moore's samples reveal insights into teenage school attendance. Mrs. Lea found that, on average, 45 students missed 12 days, with a standard deviation of 7, while Mrs. Moore's sample of 60 students reported an average of 15 missed days, with a standard deviation of 5. To compare these findings accurately, we standardize the scores using Z-scores, allowing us to apply the normal model (68-95-99.7 rule) to understand the distribution of absenteeism across both groups.

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Understanding Standard Deviation and Z-Scores in Teen School Absenteeism Comparison

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Presentation Transcript

  1. Chapter 6:The Standard Deviation as a Ruler and the Normal Model

  2. Shifts

  3. Shifted to the leftWhat changed??

  4. Standardizing Scores • In 2010, USA Today said teenagers miss 10 days of school per year. Mrs. Lea found by sampling 45 students the average number of days was 12 and the standard deviation was 7. Mrs. Moore found by sampling 60 students the average number of days was 15 with a standard deviation of 5. How do I compare the two data that were collected?

  5. Standard Values = Z Scores

  6. Normal Model

  7. 68 – 95 – 99.7 Rule

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