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Median, Range, Mode and
Mean
• MEDIAN is the middle
• RANGE is the difference from end
to end
• MODE is the most… often that is
AND
• MEAN is the adding and dividing
machine
Definition
• Median – the middle number
in a set of ordered numbers.

1, 3, 7, 10, 13
Median = 7
Copyright © 2000 by Monica Yuskaitis
To find the Median in a group of
numbers.
• Step 1: Arrange the numbers in order
from least to greatest.
• Step 2: Find the middle number.
• Step 3: If there are two middle numbers,
then find the mean (average) of the two
numbers.
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 – no step 3 because there
is only one middle number.

Copyright © 2000 by Monica Yuskaitis
What is the median of these
numbers?

16, 10, 7
7, 10, 16

10
Copyright © 2000 by Monica Yuskaitis
What is the median of these
numbers?

29, 8, 4, 11, 19
4, 8, 11, 19, 29

11
Copyright © 2000 by Monica Yuskaitis
What is the median of these
numbers?

31, 7, 2, 12, 14, 19
2, 7, 12, 14, 19, 31

13

12 + 14 = 26 2) 26
Copyright © 2000 by Monica Yuskaitis
What is the median of these
numbers?

53, 5, 81, 67, 25, 78
5, 25, 53, 67, 78, 81
60
53 + 67 = 120 2) 120
Copyright © 2000 by Monica Yuskaitis
Definition
• Range – the difference between
the smallest and the largest
numbers in a set of numbers.

1, 1, 3, 7, 10, 13
Range = 12
Copyright © 2000 by Monica Yuskaitis
To find the Range in a group of
numbers
• Step 1: arrange the numbers in order
from least to greatest.
• Step 2: find the lowest and highest
numbers.
• Step 3: Find the difference between the
two numbers.
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
4, 8, 8, 19, 29
29 – 4 = 25
Copyright © 2000 by Monica Yuskaitis
What is the range?

22, 21, 27, 31, 21, 32
21, 21, 22, 27, 31, 32
32 – 21 = 11
Copyright © 2000 by Monica Yuskaitis
What is the range?

31, 8, 3, 11, 19
3, 8, 11, 19, 31
31 – 3 = 28
Copyright © 2000 by Monica Yuskaitis
What is the range?

23, 7, 9, 41, 19
7, 9, 23, 19, 41
41 – 7 = 34
Copyright © 2000 by Monica Yuskaitis
Definition
• Mode – the number that
appears the most in a set of
numbers.

1, 1, 3, 7, 10, 13
Mode = 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.
• Step 2: Find the number that is
repeated the most. If there isn’t one
then there is no mode.
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
4, 8, 8, 19, 29

8
Copyright © 2000 by Monica Yuskaitis
Which number is the mode?

1, 2, 2, 9, 9, 4, 9, 10
1, 2, 2, 4, 9, 9, 9, 10

9
Copyright © 2000 by Monica Yuskaitis
Which number is the mode?

22, 21, 27, 31, 21, 32
21, 21, 22, 27, 31, 32

21
Copyright © 2000 by Monica Yuskaitis
Definition
• Mean – the average of a
group of numbers.

2, 5, 2, 1, 5
Mean = 3
Copyright © 2000 by Monica Yuskaitis
To find the Mean (average) of a
group of numbers.
• Step 1: Add all of the numbers together.
• Step 2: Divide the sum of the numbers
by how many numbers there are.
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.
# of addends

16
6) 96
6
36
36

Copyright © 2000 by Monica Yuskaitis

sum
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

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Mean, median, mode and range power point

  • 2. • MEDIAN is the middle • RANGE is the difference from end to end • MODE is the most… often that is AND • MEAN is the adding and dividing machine
  • 3. Definition • Median – the middle number in a set of ordered numbers. 1, 3, 7, 10, 13 Median = 7 Copyright © 2000 by Monica Yuskaitis
  • 4. To find the Median in a group of numbers. • Step 1: Arrange the numbers in order from least to greatest. • Step 2: Find the middle number. • Step 3: If there are two middle numbers, then find the mean (average) of the two numbers.
  • 5. 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
  • 6. 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
  • 7. 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
  • 8. How to Find the Median in a Group of Numbers • Step 3 – no step 3 because there is only one middle number. Copyright © 2000 by Monica Yuskaitis
  • 9. What is the median of these numbers? 16, 10, 7 7, 10, 16 10 Copyright © 2000 by Monica Yuskaitis
  • 10. What is the median of these numbers? 29, 8, 4, 11, 19 4, 8, 11, 19, 29 11 Copyright © 2000 by Monica Yuskaitis
  • 11. What is the median of these numbers? 31, 7, 2, 12, 14, 19 2, 7, 12, 14, 19, 31 13 12 + 14 = 26 2) 26 Copyright © 2000 by Monica Yuskaitis
  • 12. What is the median of these numbers? 53, 5, 81, 67, 25, 78 5, 25, 53, 67, 78, 81 60 53 + 67 = 120 2) 120 Copyright © 2000 by Monica Yuskaitis
  • 13. Definition • Range – the difference between the smallest and the largest numbers in a set of numbers. 1, 1, 3, 7, 10, 13 Range = 12 Copyright © 2000 by Monica Yuskaitis
  • 14. To find the Range in a group of numbers • Step 1: arrange the numbers in order from least to greatest. • Step 2: find the lowest and highest numbers. • Step 3: Find the difference between the two numbers.
  • 15. 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
  • 16. 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
  • 17. 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
  • 18. What is the range? 29, 8, 4, 8, 19 4, 8, 8, 19, 29 29 – 4 = 25 Copyright © 2000 by Monica Yuskaitis
  • 19. What is the range? 22, 21, 27, 31, 21, 32 21, 21, 22, 27, 31, 32 32 – 21 = 11 Copyright © 2000 by Monica Yuskaitis
  • 20. What is the range? 31, 8, 3, 11, 19 3, 8, 11, 19, 31 31 – 3 = 28 Copyright © 2000 by Monica Yuskaitis
  • 21. What is the range? 23, 7, 9, 41, 19 7, 9, 23, 19, 41 41 – 7 = 34 Copyright © 2000 by Monica Yuskaitis
  • 22. Definition • Mode – the number that appears the most in a set of numbers. 1, 1, 3, 7, 10, 13 Mode = 1 Copyright © 2000 by Monica Yuskaitis
  • 23. How to find the Mode in a group of numbers. • Step 1: Arrange the numbers in order from least to greatest. • Step 2: Find the number that is repeated the most. If there isn’t one then there is no mode.
  • 24. 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
  • 25. 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
  • 26. Which number is the mode? 29, 8, 4, 8, 19 4, 8, 8, 19, 29 8 Copyright © 2000 by Monica Yuskaitis
  • 27. Which number is the mode? 1, 2, 2, 9, 9, 4, 9, 10 1, 2, 2, 4, 9, 9, 9, 10 9 Copyright © 2000 by Monica Yuskaitis
  • 28. Which number is the mode? 22, 21, 27, 31, 21, 32 21, 21, 22, 27, 31, 32 21 Copyright © 2000 by Monica Yuskaitis
  • 29. Definition • Mean – the average of a group of numbers. 2, 5, 2, 1, 5 Mean = 3 Copyright © 2000 by Monica Yuskaitis
  • 30. To find the Mean (average) of a group of numbers. • Step 1: Add all of the numbers together. • Step 2: Divide the sum of the numbers by how many numbers there are.
  • 31. 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
  • 32. 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
  • 33. How to Find the Mean of a Group of Numbers • Step 2 – Divide the sum by the number of addends. # of addends 16 6) 96 6 36 36 Copyright © 2000 by Monica Yuskaitis sum
  • 34. 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
  • 35. What is the mean of these numbers? 7, 10, 16 11 Copyright © 2000 by Monica Yuskaitis
  • 36. What is the mean of these numbers? 2, 9, 14, 27 13 Copyright © 2000 by Monica Yuskaitis
  • 37. What is the mean of these numbers? 1, 2, 7, 11, 19 8 Copyright © 2000 by Monica Yuskaitis
  • 38. What is the mean of these numbers? 26, 33, 41, 52 38 Copyright © 2000 by Monica Yuskaitis