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Algebra 2 · Chapter 13 · Lesson 13.3 · Printable PDF

Z-scores and the Empirical Rule Worksheet with Answer Key

6 problems on z-scores and the empirical rule: finding z or x, comparing chemistry and history tests, unusual library days, lamb birth masses by the 68-95-99.7 rule, pizza delivery times, and paper airplane distances. 2 pages, with a worked answer key.

6 problems2 pagesanswer key
Printable z-scores and the empirical rule worksheet with answer key - Algebra 2 (Page 1 PDF preview)
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What's on the worksheet

  1. Find the z-score z or the value x, as each part asks.
    z when x = 74,\ \mu = 60,\ \sigma = 8x when z = -1.4,\ \mu = 80,\ \sigma = 5z when x = 6.7,\ \bar{x} = 4.7,\ s = 0.8x when z = 2.6,\ \mu = 6.2,\ \sigma = 0.5z when x = 0.88,\ \mu = 1,\ \sigma = 0.06
  2. Word problem: compare Priya's and Diego's chemistry and history test scores.
  3. Word problem: which daily library visitor counts are unusual.
  4. Word problem: lamb birth masses and the empirical rule.
  5. Word problem: pizza delivery times and standard deviations from the mean.
  6. Word problem: how far the longest paper airplane flew compared with the class.

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The free lesson teaches it with worked examples and practice problems.

z-scores and the empirical rule: the lesson ›

More Chapter 13 worksheets: The normal distribution and introductory inference