Missing Numbers in the Data

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Missing Numbers in the Data

  1. 1. Finding a Unknown Value inMeasures of Central Tendency •How to find the missing number in a series of numbers to get a predetermined average. •How to find the missing number to get a specific median and mode
  2. 2. Substitution MethodExample:• If you have 6 + 7 + ? = an average of 7, what is the missing number? A. 2 B. 5 C. 8 D. 14If you have multiple choice answers, you can substitute in numbers until you find the one that works.
  3. 3. Substitution MethodExample:• If you have 6 + 7 + ____ = an average of 7, what is the missing number? A. 2 B. 5 C. 8 D. 14(6 + 7 + 2) 3 = 5(6 + 7 + 5) 3 = 6(6 + 7 + 8) 3 = 7(6 + 7 + 14) 3 = 9
  4. 4. Cover up MethodExample(6 + 7 + n) 3 = An average of 7
  5. 5. Cover up MethodExample(6 + 7 + n) 3 = An average of 7Cover up what is in parenthesis and ask yourself what number divided by 3 = 7?(3 x 7 = 21)
  6. 6. Cover up MethodExample: Now we know that…(6 + 7 + n) 3 = 21Now simplify what you can.6+7
  7. 7. Cover up MethodExample: Now we know that…(13 + n) 3 = 21Now cover up the n and ask yourself what number plus 13 equals 21? (21 -13)
  8. 8. Cover up MethodSince 13 + 8 = 21, then(6 + 7 + 8) 3 = An average of 7
  9. 9. You try it!• Find the missing number using the substitution method.• (4 + 7 + 2 + __ ) 4 = An average of 5 A. 3 B. 7 C. 11 D. 20
  10. 10. You try it! ANSWER• Find the missing number using the substitution method.• (4 + 7 + 2 + __ ) 4 = An average of 5 A. 3 B. 7 C. 11 D. 20
  11. 11. You try it!• Find the missing number by using the cover up method.• (6 + 3 + 1 + 5 + ____) 5= 6
  12. 12. You try it! ANSWER• Find the missing number by using the cover up method.• (6 + 3 + 1 + 5 + 15) 5= 6
  13. 13. A little bit more challenging…• If Lauren made test grades of 84, 96, and 92, what would she have to make on her 4th test to make sure that she would have an overall average of 90?
  14. 14. A little bit more challenging…• If Lauren made test grades of 84, 96, and 92, what would she have to make on her 4th test to make sure that she would have an overall average of 90.How would you set up this problem?
  15. 15. A little bit more challenging…• If Lauren made test grades of 84, 96, and 92, what would she have to make on her 4th test to make sure that she would have an overall average of 90.How would you set up this problem?(84 + 96 + 92 + ____ ) 4 = 90
  16. 16. Use the cover-up method• (84 + 96 + 92 + ____ ) 4 = 90• (84 + 96 + 92 + ____ ) 4 = 90• (84 + 96 + 92 + ____ ) = 360• (272 + ____ ) = 360• The answer is 88
  17. 17. Median• If the Median is 5, then what number is missing in this set of data? 4, ____, 6• If the Median is 10, then what number is missing in this set of data?• 5, 8, ____, 15
  18. 18. Mode• If the Mode is 4, then what number is missing in this set of data? 3, 4, 4, 5, 5, 6, 8
  19. 19. Range• If the range is 18, then what number is missing from this set of data? 3, 7, 12, 18, ____

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