MeanMedianMode.ppt

Measures of Central
Tendency
Statistics for
Senior High School
MeanMedianMode.ppt
These are Abby’s science test scores.
97 84
73 88
100
63
97 95
86
What can you tell us about these
numbers?
97 84
73 88
100
63
97
95
86
MeanMedianMode.ppt
What is the MEAN?
How do we find it?
The mean is the numerical average
of the data set.
The mean is found by adding all the
values in the set, then dividing the
sum by the number of values.
Lets find Abby’s
MEAN science test
score?
97
84
73
88
100
63
97
95
86
+
783
783 ÷ 9
The mean is 87
What is the MEDIAN?
How do we find it?
The MEDIAN is the number that is in the
middle of a set of data
1. Arrange the numbers in the set in
order from least to greatest.
2. Then find the number that is in the
middle.
97
84
73 88 100
63 97
95
86
The median is 88.
Half the numbers are
less than the median.
Half the numbers are
greater than the median.
Median
Sounds like
MEDIUM
Think middle when you hear median.
How do we find
the MEDIAN
when two numbers are in the middle?
1. Add the two numbers.
2. Then divide by 2.
97
84
73 88 100
63 97
95
88 + 95 = 183
183 ÷ 2 The median is
91.5
What is the MODE?
How do we find it?
The MODE is the piece of data that
occurs most frequently in the data set.
A set of data can have:
 One mode
 More than one mode
 No mode
97
84
73 88 100
63 97
95
86
The value 97 appears twice.
All other numbers appear just once.
97 is the MODE
A Hint for remembering the MODE…
The first two letters give you a hint… MOde
Most Often
Which set of data has ONE MODE?
9, 11, 16, 8, 16
9, 11, 16, 6, 7, 17, 18
18, 7, 10, 7, 18
A
C
B
Which set of data has NO MODE?
13, 12, 12, 11, 12
9, 11, 16, 6, 7, 17, 18
18, 7, 10, 7, 18
A
C
B
Which set of data has
MORE THAN ONE MODE?
9, 11, 16, 8, 16
9, 11, 16, 6, 7, 17, 18
18, 7, 10, 7, 18
A
C
B
What is the RANGE?
How do we find it?
The RANGE is the difference between the
lowest and highest values.
97
84
73 88
63 97
95
86
97
-63
34
34 is the RANGE
or spread
of this set of data
What is the RANGE of this set of data?
84
71 88
99 48
97
86
What is the RANGE of this set of data?
84
71 88 99
48 97
86
99
-48
51
What is the RANGE of this set of data?
33
67 85
17 48
15
46
What is the RANGE of this set of data?
85
-15
70
33 67 85
17 48
15 46
What is the RANGE of this set of data?
267
119
357
401
329
483
227
What is the RANGE of this set of data?
267
119 357 401
329 483
227
483
-119
364
This one is the requires more
work than the others.
Right in the
MIDDLE.
This one is the easiest to
find— Just LOOK.
Find the….
MeanMedianMode.ppt
Find the….
MeanMedianMode.ppt
Find the….
MeanMedianMode.ppt
Find the….
MeanMedianMode.ppt
Find the….
MeanMedianMode.ppt
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MeanMedianMode.ppt

  • 3. These are Abby’s science test scores. 97 84 73 88 100 63 97 95 86
  • 4. What can you tell us about these numbers? 97 84 73 88 100 63 97 95 86
  • 6. What is the MEAN? How do we find it? The mean is the numerical average of the data set. The mean is found by adding all the values in the set, then dividing the sum by the number of values.
  • 7. Lets find Abby’s MEAN science test score? 97 84 73 88 100 63 97 95 86 + 783 783 ÷ 9 The mean is 87
  • 8. What is the MEDIAN? How do we find it? The MEDIAN is the number that is in the middle of a set of data 1. Arrange the numbers in the set in order from least to greatest. 2. Then find the number that is in the middle.
  • 9. 97 84 73 88 100 63 97 95 86 The median is 88. Half the numbers are less than the median. Half the numbers are greater than the median.
  • 10. Median Sounds like MEDIUM Think middle when you hear median.
  • 11. How do we find the MEDIAN when two numbers are in the middle? 1. Add the two numbers. 2. Then divide by 2.
  • 12. 97 84 73 88 100 63 97 95 88 + 95 = 183 183 ÷ 2 The median is 91.5
  • 13. What is the MODE? How do we find it? The MODE is the piece of data that occurs most frequently in the data set. A set of data can have:  One mode  More than one mode  No mode
  • 14. 97 84 73 88 100 63 97 95 86 The value 97 appears twice. All other numbers appear just once. 97 is the MODE
  • 15. A Hint for remembering the MODE… The first two letters give you a hint… MOde Most Often
  • 16. Which set of data has ONE MODE? 9, 11, 16, 8, 16 9, 11, 16, 6, 7, 17, 18 18, 7, 10, 7, 18 A C B
  • 17. Which set of data has NO MODE? 13, 12, 12, 11, 12 9, 11, 16, 6, 7, 17, 18 18, 7, 10, 7, 18 A C B
  • 18. Which set of data has MORE THAN ONE MODE? 9, 11, 16, 8, 16 9, 11, 16, 6, 7, 17, 18 18, 7, 10, 7, 18 A C B
  • 19. What is the RANGE? How do we find it? The RANGE is the difference between the lowest and highest values.
  • 20. 97 84 73 88 63 97 95 86 97 -63 34 34 is the RANGE or spread of this set of data
  • 21. What is the RANGE of this set of data? 84 71 88 99 48 97 86
  • 22. What is the RANGE of this set of data? 84 71 88 99 48 97 86 99 -48 51
  • 23. What is the RANGE of this set of data? 33 67 85 17 48 15 46
  • 24. What is the RANGE of this set of data? 85 -15 70 33 67 85 17 48 15 46
  • 25. What is the RANGE of this set of data? 267 119 357 401 329 483 227
  • 26. What is the RANGE of this set of data? 267 119 357 401 329 483 227 483 -119 364
  • 27. This one is the requires more work than the others. Right in the MIDDLE. This one is the easiest to find— Just LOOK.