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Algebra 1 · Chapter 12 · Lesson 12.7 · Printable PDF

Shifting and Rescaling a Data Set Worksheet with Answer Key

8 problems on shifting and rescaling data: how the mean, median and standard deviation change when a constant is added or every value is multiplied, signposts on a trail, melons in pounds and kilograms, a printer, tutoring bills, quiz scores, and flour bags. 2 pages, with a worked answer key.

8 problems2 pagesanswer key
Printable Shifting and rescaling a data set worksheet with answer key - Algebra 1 (Page 1 PDF preview)
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What's on the worksheet

  1. Find the summary after the stated rule for each data set.
    \bar{x} = 14, y = x + 9; find \bar{y}\sigma_x = 3.5, y = x - 20; find \sigma_ymedian 8, y = 5x; find the new median\sigma_x^2 = 4, y = 3x; find \sigma_y^2IQR 10, y = 2x + 7; find the new IQR
  2. Hiking trail signposts: find the mean, median and spread after changing the reference point.
  3. Compare two farms' watermelon weights given in pounds and kilograms.
  4. Printer jobs: find the mean time per job from a fixed warm-up and a rate per page.
  5. Tutoring center bills: add a fee to some bills and compare the summaries.
  6. Samir's quiz scores: convert scores out of 20 to out of 100 and add bonus points.
  7. Check Malik's claim about a rule applied to all test scores.
  8. Weigh five flour bags: subtract 1000 grams from each weight to find the mean and spread.

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Shifting and rescaling a data set: the lesson ›

More Chapter 12 worksheets: One-variable statistics