03­31­16 Best Measure of Center.notebook
March 31, 2016
3-31-16
Aim: SWBAT determine the best measure of center and begin
to understand Mean Absolute Deviation.
Do Now: Statistics Packet
HW: None
03­31­16 Best Measure of Center.notebook
March 31, 2016
Pg. 274
Find the mean, median, mode(s), and range of the data with and
without the numbers in red. Describe the effect of the red data
value(s) on the averages and on the range.
19. 19, 16, 23, 35, 28, 20, 16, 36, 98, 13, 26, 29, 31
Order the data without the outlier from least to greatest.
Mean without outlier:
Median without outlier:
Mode without outlier:
Range without outlier (Biggest - smallest):
03­31­16 Best Measure of Center.notebook
March 31, 2016
Pg. 274
Find the mean, median, mode(s), and range of the data with and
without the numbers in red. Describe the effect of the red data
value(s) on the averages and on the range.
19. 19, 16, 23, 35, 28, 20, 16, 36, 98, 13, 26, 29, 31
Order the data with the outlier from least to greatest.
Mean with outlier:
Median with outlier:
Mode with outlier:
Range with outlier (Biggest - smallest):
03­31­16 Best Measure of Center.notebook
March 31, 2016
Pg. 274
Find the mean, median, mode(s), and range of the data with and
without the numbers in red. Describe the effect of the red data
value(s) on the averages and on the range.
20. 58, 67, 94, 85, 78, 76, 6, 99, 100, 88, 76, 2, 82, 81, 94, 98
Order the data without the outliers from least to greatest.
Mean without outliers:
Median without outliers:
Mode without outliers:
Range without outliers (Biggest - smallest):
03­31­16 Best Measure of Center.notebook
March 31, 2016
Pg. 274
Find the mean, median, mode(s), and range of the data with and
without the numbers in red. Describe the effect of the red data
value(s) on the averages and on the range.
20. 58, 67, 94, 85, 78, 76, 6, 99, 100, 88, 76, 2, 82, 81, 94, 98
Order the data with the outliers from least to greatest.
Mean with outliers:
Median with outliers:
Mode with outliers:
Range with outliers (Biggest - smallest):
03­31­16 Best Measure of Center.notebook
March 31, 2016
Determine which measure of central tendency (mean, median,
or mode) would best describe the data set.
1, 2, 3, 4, 5, 6, 7, 50
78, 85, 80, 83, 79
12, 12, 12, 12, 12, 12, 12, 12, 12, 10, 11, 10
5, 6, 7, 8, 9, 25, 26, 27, 28, 29
03­31­16 Best Measure of Center.notebook
March 31, 2016
Determine which measure of central tendency (mean, median,
or mode) would best describe the data set.
1, 2, 3, 4, 5, 6, 7, 50
78, 85, 80, 83, 79
12, 12, 12, 12, 12, 12, 12, 12, 12, 10, 11, 10
5, 6, 7, 8, 9, 25, 26, 27, 28, 29
03­31­16 Best Measure of Center.notebook
March 31, 2016
This display shows how many students in the class received certain test scores.
= student
70
72
74
76
78
80
82
84
Test Score
86
88
90
92
94
96
98
100
Test Score (%)
03­31­16 Best Measure of Center.notebook
March 31, 2016
This display shows the score each student actually received.
100
96
92
88
84
80
76
72
68
64
60
56
52
48
44
40
36
32
28
24
20
16
12
8
4
0
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16 17
18
19 20 21 22
Student
The difference between each students' actual score and the mean(the red line) is another measure of
variation or spread that we can investigate to tell us something about the data.
The Mean Absolute Deviation (MAD) is a measure of variation. Instead of measuring the full spread of the
data like a range, it measures the spread between a single piece of data and the mean amount of variation.
If the MAD is a small number, in context of the data, there is low variation amongst all the data.
That shows more consistency amongst the data.
If the MAD is a large number, in context of the data, there is a high variation amongst all the data.
That shows more inconsistencies amongst the data.
03­31­16 Best Measure of Center.notebook
This display shows the mean score after data was redistributed.
100
96
92
88
84
80
76
Test Score (%)
March 31, 2016
72
68
64
60
56
52
48
44
40
36
32
28
24
20
16
12
8
4
0
1
2
3
4
5
6
7
8
9
10
11
12
13
Student
14
15
16
17
18
19 20 21 22
03­31­16 Best Measure of Center.notebook
March 31, 2016