This Warm-up reminds students of the meanings of mean and MAD by comparing two sets of data with similar values and asking whether they will have the same means or MADs or both.
Explain to students that the pairs of data sets are the following: A and B, X and Y, and P and Q.
Without calculating, tell whether each pair of data sets have the same mean and whether they have the same mean absolute deviation.
Set A
1
3
3
5
6
8
10
14
Set B
21
23
23
25
26
28
30
34
Set X
1
2
3
4
5
Set Y
1
2
3
4
5
6
Set P
47
53
58
62
Set Q
37
43
68
72
The purpose of the discussion is to bring out methods students used to notice whether the pairs of data sets have the same mean or the same MAD or both.
Poll the class for each pair of data sets as to whether they had the same mean, the same MAD, both, or neither.
After students have had a chance to register their vote, ask some students to explain their reasoning for their answer.
For students who have a difficult time starting without calculating, help them to compare the values in the ones place for the first and third pairs of data.
All skills for this lesson
No KCs tagged for this lesson
This Warm-up reminds students of the meanings of mean and MAD by comparing two sets of data with similar values and asking whether they will have the same means or MADs or both.
Explain to students that the pairs of data sets are the following: A and B, X and Y, and P and Q.
Without calculating, tell whether each pair of data sets have the same mean and whether they have the same mean absolute deviation.
Set A
1
3
3
5
6
8
10
14
Set B
21
23
23
25
26
28
30
34
Set X
1
2
3
4
5
Set Y
1
2
3
4
5
6
Set P
47
53
58
62
Set Q
37
43
68
72
The purpose of the discussion is to bring out methods students used to notice whether the pairs of data sets have the same mean or the same MAD or both.
Poll the class for each pair of data sets as to whether they had the same mean, the same MAD, both, or neither.
After students have had a chance to register their vote, ask some students to explain their reasoning for their answer.
For students who have a difficult time starting without calculating, help them to compare the values in the ones place for the first and third pairs of data.