How to Troubleshoot Apps for the Modern Connected Worker
Finding the Missing Value in Measures of Central Tendency
1. Finding a Unknown Value in
Measures 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. Substitution Method
Example:
• If you have 6 + 7 + ? = an average of 7,
what is the missing number?
A. 2 B. 5 C. 8 D. 14
If you have multiple choice answers, you can
substitute in numbers until you find the one
that works.
3. Substitution Method
Example:
• 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
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. 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. You try it!
• Find the missing number by using the cover
up method.
• (6 + 3 + 1 + 5 + ____) 5= 6
12. You try it! ANSWER
• Find the missing number by using the cover
up method.
• (6 + 3 + 1 + 5 + 15) 5= 6
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. 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. 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
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. Mode
• If the Mode is 4, then what number is
missing in this set of data?
3, 4, 4, 5, 5, 6, 8
19. Range
• If the range is 18, then what number is
missing from this set of data?
3, 7, 12, 18, ____