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Mean, Median, ModeMean, Median, Mode
& Range& Range
By Mr. Clutter
VMS Library
2007-2008
Copyright © 2000 by
Monica Yuskaitis
Vocabulary Review
• Sum – the answer to an
addition problem.
• Addend – the numbers you
added together to get the
sum.
6 + 9 = 15
Copyright © 2000 by
Monica Yuskaitis
Definition
MeanMean
MeansMeans
AverageAverage
Copyright © 2000 by
Monica Yuskaitis
Definition
• MeanMean – the average of a
group of numbers.
2, 5, 2, 1, 5
Mean = 3Mean = 3
Copyright © 2000 by
Monica Yuskaitis
Mean is found by evening out
the numbers
2, 5, 2, 1, 5
Copyright © 2000 by
Monica Yuskaitis
Mean is found by evening out
the numbers
2, 5, 2, 1, 5
Copyright © 2000 by
Monica Yuskaitis
Mean is found by evening out
the numbers
2, 5, 2, 1, 5
mean = 3
Copyright © 2000 by
Monica Yuskaitis
How to Find the Mean of a
Group of Numbers
• Step 1 – Add all the numbers.
8, 10, 12, 18, 22, 26
8+10+12+18+22+26 = 96
Copyright © 2000 by
Monica Yuskaitis
How to Find the Mean of a
Group of Numbers
• Step 2 – Divide the sum by
the number of addends.
8, 10, 12, 18, 22, 26
8+10+12+18+22+26 = 96
How many addends are there?
Copyright © 2000 by
Monica Yuskaitis
How to Find the Mean of a
Group of Numbers
• Step 2 – Divide the sum by
the number of addends.
6)96 sum# of addends
1
6
36
6
63
Copyright © 2000 by
Monica Yuskaitis
How to Find the Mean of a
Group of Numbers
The mean or average of these
numbers is 16.
8, 10, 12, 18, 22, 26
Copyright © 2000 by
Monica Yuskaitis
What is the mean of these
numbers?
7, 10, 16
11
Copyright © 2000 by
Monica Yuskaitis
What is the mean of these
numbers?
2, 9, 14, 27
13
Copyright © 2000 by
Monica Yuskaitis
What is the mean of these
numbers?
1, 2, 7, 11, 19
8
Copyright © 2000 by
Monica Yuskaitis
What is the mean of these
numbers?
26, 33, 41, 52
38
Copyright © 2000 by
Monica Yuskaitis
Definition
MeMeddianian
is in theis in the
MiMiddddlele
Copyright © 2000 by
Monica Yuskaitis
Definition
• MedianMedian – the middle number
in a set of ordered numbers.
1, 3, 7, 10, 13
Median = 7Median = 7
Copyright © 2000 by
Monica Yuskaitis
How to Find the Median in a
Group of Numbers
• Step 1 – Arrange the numbers
in order from least to greatest.
21, 18, 24, 19, 27
18, 19, 21, 24, 27
Copyright © 2000 by
Monica Yuskaitis
How to Find the Median in a
Group of Numbers
• Step 2 – Find the middle
number.
21, 18, 24, 19, 27
18, 19, 21, 24, 27
Copyright © 2000 by
Monica Yuskaitis
How to Find the Median in a
Group of Numbers
• Step 2 – Find the middle
number.
18, 19, 21, 24, 27
This is your median number.
Copyright © 2000 by
Monica Yuskaitis
How to Find the Median in a
Group of Numbers
• Step 3 – If there are two middle
numbers, find the mean of these
two numbers.
18, 19, 21, 25, 27, 28
Copyright © 2000 by
Monica Yuskaitis
How to Find the Median in a
Group of Numbers
• Step 3 – If there are two middle
numbers, find the mean of these
two numbers.
21+ 25 = 46
2)46
23 median
Copyright © 2000 by
Monica Yuskaitis
What is the median of these
numbers?
16, 10, 7
10
7, 10, 16
Copyright © 2000 by
Monica Yuskaitis
What is the median of these
numbers?
29, 8, 4, 11, 19
11
4, 8, 11, 19, 29
Copyright © 2000 by
Monica Yuskaitis
What is the median of these
numbers?
31, 7, 2, 12, 14, 19
13
2, 7, 12, 14, 19, 31
12 + 14 = 26 2) 26
Copyright © 2000 by
Monica Yuskaitis
What is the median of these
numbers?
53, 5, 81, 67, 25, 78
60
53 + 67 = 120 2) 120
5, 25, 53, 67, 78, 81
Copyright © 2000 by
Monica Yuskaitis
Definition
ModeMode
is the mostis the most
PopularPopular
Copyright © 2000 by
Monica Yuskaitis
Definition
• A la modeA la mode – the most
popular or that which is in
fashion.
Baseball caps are a la mode today.
Copyright © 2000 by
Monica Yuskaitis
Definition
• ModeMode – the number that
appears most frequently in a
set of numbers.
1, 1, 3, 7, 10, 13
Mode = 1Mode = 1
Copyright © 2000 by
Monica Yuskaitis
How to Find the Mode in a
Group of Numbers
• Step 1 – Arrange the numbers
in order from least to greatest.
21, 18, 24, 19, 18
18, 18, 19, 21, 24
Copyright © 2000 by
Monica Yuskaitis
How to Find the Mode in a
Group of Numbers
• Step 2 – Find the number that
is repeated the most.
21, 18, 24, 19, 18
18, 18, 19, 21, 24
Copyright © 2000 by
Monica Yuskaitis
Which number is the mode?
29, 8, 4, 8, 19
8
4, 8, 8, 19, 29
Copyright © 2000 by
Monica Yuskaitis
Which number is the mode?
1, 2, 2, 9, 9, 4, 9, 10
9
1, 2, 2, 4, 9, 9, 9, 10
Copyright © 2000 by
Monica Yuskaitis
Which number is the mode?
22, 21, 27, 31, 21, 32
21
21, 21, 22, 27, 31, 32
Copyright © 2000 by
Monica Yuskaitis
Definition
RangeRange
is the distanceis the distance
BetweenBetween
Copyright © 2000 by
Monica Yuskaitis
Definition
• RangeRange – the difference between
the greatest and the least value
in a set of numbers.
1, 1, 3, 7, 10, 13
Range = 12Range = 12
Copyright © 2000 by
Monica Yuskaitis
How to Find the Range in a
Group of Numbers
• Step 1 – Arrange the numbers
in order from least to greatest.
21, 18, 24, 19, 27
18, 19, 21, 24, 27
Copyright © 2000 by
Monica Yuskaitis
How to Find the Range in a
Group of Numbers
• Step 2 – Find the lowest and
highest numbers.
21, 18, 24, 19, 27
18, 19, 21, 24, 27
Copyright © 2000 by
Monica Yuskaitis
How to Find the Range in a
Group of Numbers
• Step 3 – Find the difference
between these 2 numbers.
18, 19, 21, 24, 27
27 – 18 = 9
The range is 9
Copyright © 2000 by
Monica Yuskaitis
What is the range?
29, 8, 4, 8, 19
29 – 4 = 25
4, 8, 8, 19, 29
Copyright © 2000 by
Monica Yuskaitis
What is the range?
22, 21, 27, 31, 21, 32
32 – 21 = 11
21, 21, 22, 27, 31, 32
Copyright © 2000 by
Monica Yuskaitis
What is the range?
31, 8, 3, 11, 19
31 – 3 = 28
3, 8, 11, 19, 31
Copyright © 2000 by
Monica Yuskaitis
What is the range?
23, 7, 9, 41, 19
41 – 7 = 34
7, 9, 23, 19, 41
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Mean, mode, median

  • 1. Mean, Median, ModeMean, Median, Mode & Range& Range By Mr. Clutter VMS Library 2007-2008
  • 2. Copyright © 2000 by Monica Yuskaitis Vocabulary Review • Sum – the answer to an addition problem. • Addend – the numbers you added together to get the sum. 6 + 9 = 15
  • 3. Copyright © 2000 by Monica Yuskaitis Definition MeanMean MeansMeans AverageAverage
  • 4. Copyright © 2000 by Monica Yuskaitis Definition • MeanMean – the average of a group of numbers. 2, 5, 2, 1, 5 Mean = 3Mean = 3
  • 5. Copyright © 2000 by Monica Yuskaitis Mean is found by evening out the numbers 2, 5, 2, 1, 5
  • 6. Copyright © 2000 by Monica Yuskaitis Mean is found by evening out the numbers 2, 5, 2, 1, 5
  • 7. Copyright © 2000 by Monica Yuskaitis Mean is found by evening out the numbers 2, 5, 2, 1, 5 mean = 3
  • 8. Copyright © 2000 by Monica Yuskaitis How to Find the Mean of a Group of Numbers • Step 1 – Add all the numbers. 8, 10, 12, 18, 22, 26 8+10+12+18+22+26 = 96
  • 9. Copyright © 2000 by Monica Yuskaitis How to Find the Mean of a Group of Numbers • Step 2 – Divide the sum by the number of addends. 8, 10, 12, 18, 22, 26 8+10+12+18+22+26 = 96 How many addends are there?
  • 10. Copyright © 2000 by Monica Yuskaitis How to Find the Mean of a Group of Numbers • Step 2 – Divide the sum by the number of addends. 6)96 sum# of addends 1 6 36 6 63
  • 11. Copyright © 2000 by Monica Yuskaitis How to Find the Mean of a Group of Numbers The mean or average of these numbers is 16. 8, 10, 12, 18, 22, 26
  • 12. Copyright © 2000 by Monica Yuskaitis What is the mean of these numbers? 7, 10, 16 11
  • 13. Copyright © 2000 by Monica Yuskaitis What is the mean of these numbers? 2, 9, 14, 27 13
  • 14. Copyright © 2000 by Monica Yuskaitis What is the mean of these numbers? 1, 2, 7, 11, 19 8
  • 15. Copyright © 2000 by Monica Yuskaitis What is the mean of these numbers? 26, 33, 41, 52 38
  • 16. Copyright © 2000 by Monica Yuskaitis Definition MeMeddianian is in theis in the MiMiddddlele
  • 17. Copyright © 2000 by Monica Yuskaitis Definition • MedianMedian – the middle number in a set of ordered numbers. 1, 3, 7, 10, 13 Median = 7Median = 7
  • 18. Copyright © 2000 by Monica Yuskaitis How to Find the Median in a Group of Numbers • Step 1 – Arrange the numbers in order from least to greatest. 21, 18, 24, 19, 27 18, 19, 21, 24, 27
  • 19. Copyright © 2000 by Monica Yuskaitis How to Find the Median in a Group of Numbers • Step 2 – Find the middle number. 21, 18, 24, 19, 27 18, 19, 21, 24, 27
  • 20. Copyright © 2000 by Monica Yuskaitis How to Find the Median in a Group of Numbers • Step 2 – Find the middle number. 18, 19, 21, 24, 27 This is your median number.
  • 21. Copyright © 2000 by Monica Yuskaitis How to Find the Median in a Group of Numbers • Step 3 – If there are two middle numbers, find the mean of these two numbers. 18, 19, 21, 25, 27, 28
  • 22. Copyright © 2000 by Monica Yuskaitis How to Find the Median in a Group of Numbers • Step 3 – If there are two middle numbers, find the mean of these two numbers. 21+ 25 = 46 2)46 23 median
  • 23. Copyright © 2000 by Monica Yuskaitis What is the median of these numbers? 16, 10, 7 10 7, 10, 16
  • 24. Copyright © 2000 by Monica Yuskaitis What is the median of these numbers? 29, 8, 4, 11, 19 11 4, 8, 11, 19, 29
  • 25. Copyright © 2000 by Monica Yuskaitis What is the median of these numbers? 31, 7, 2, 12, 14, 19 13 2, 7, 12, 14, 19, 31 12 + 14 = 26 2) 26
  • 26. Copyright © 2000 by Monica Yuskaitis What is the median of these numbers? 53, 5, 81, 67, 25, 78 60 53 + 67 = 120 2) 120 5, 25, 53, 67, 78, 81
  • 27. Copyright © 2000 by Monica Yuskaitis Definition ModeMode is the mostis the most PopularPopular
  • 28. Copyright © 2000 by Monica Yuskaitis Definition • A la modeA la mode – the most popular or that which is in fashion. Baseball caps are a la mode today.
  • 29. Copyright © 2000 by Monica Yuskaitis Definition • ModeMode – the number that appears most frequently in a set of numbers. 1, 1, 3, 7, 10, 13 Mode = 1Mode = 1
  • 30. Copyright © 2000 by Monica Yuskaitis How to Find the Mode in a Group of Numbers • Step 1 – Arrange the numbers in order from least to greatest. 21, 18, 24, 19, 18 18, 18, 19, 21, 24
  • 31. Copyright © 2000 by Monica Yuskaitis How to Find the Mode in a Group of Numbers • Step 2 – Find the number that is repeated the most. 21, 18, 24, 19, 18 18, 18, 19, 21, 24
  • 32. Copyright © 2000 by Monica Yuskaitis Which number is the mode? 29, 8, 4, 8, 19 8 4, 8, 8, 19, 29
  • 33. Copyright © 2000 by Monica Yuskaitis Which number is the mode? 1, 2, 2, 9, 9, 4, 9, 10 9 1, 2, 2, 4, 9, 9, 9, 10
  • 34. Copyright © 2000 by Monica Yuskaitis Which number is the mode? 22, 21, 27, 31, 21, 32 21 21, 21, 22, 27, 31, 32
  • 35. Copyright © 2000 by Monica Yuskaitis Definition RangeRange is the distanceis the distance BetweenBetween
  • 36. Copyright © 2000 by Monica Yuskaitis Definition • RangeRange – the difference between the greatest and the least value in a set of numbers. 1, 1, 3, 7, 10, 13 Range = 12Range = 12
  • 37. Copyright © 2000 by Monica Yuskaitis How to Find the Range in a Group of Numbers • Step 1 – Arrange the numbers in order from least to greatest. 21, 18, 24, 19, 27 18, 19, 21, 24, 27
  • 38. Copyright © 2000 by Monica Yuskaitis How to Find the Range in a Group of Numbers • Step 2 – Find the lowest and highest numbers. 21, 18, 24, 19, 27 18, 19, 21, 24, 27
  • 39. Copyright © 2000 by Monica Yuskaitis How to Find the Range in a Group of Numbers • Step 3 – Find the difference between these 2 numbers. 18, 19, 21, 24, 27 27 – 18 = 9 The range is 9
  • 40. Copyright © 2000 by Monica Yuskaitis What is the range? 29, 8, 4, 8, 19 29 – 4 = 25 4, 8, 8, 19, 29
  • 41. Copyright © 2000 by Monica Yuskaitis What is the range? 22, 21, 27, 31, 21, 32 32 – 21 = 11 21, 21, 22, 27, 31, 32
  • 42. Copyright © 2000 by Monica Yuskaitis What is the range? 31, 8, 3, 11, 19 31 – 3 = 28 3, 8, 11, 19, 31
  • 43. Copyright © 2000 by Monica Yuskaitis What is the range? 23, 7, 9, 41, 19 41 – 7 = 34 7, 9, 23, 19, 41
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