Examining Data Sets Worksheet Page 9

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Name:
Examining Data Sets
Find the Mean, Median, Interquartile Range and Mean Absolute Deviation of the set of
A n s w e r s
numbers. If possible round to the nearest tenth.
Ex) 6, 9, 6, 8, 7
7.2
7
2.5
1
Mean = 7.2
Number
6
6
7
8
9
Ex.
6, 6, 7, 8, 9
Median = 7
Distance 1.2 1.2 0.2 0.8 1.8
Q1 = 6
I.Q.R. = 2.5
2
2
2
0.8
1.
Q3 = 8.5
M.A.D. = 1
4.3 3.5
5
2.7
2.
1) 1, 2, 1, 4, 2
Mean = 2
Number
1
1
2
2
4
1, 1, 2, 2, 4
Median = 2
Distance 1
1
0
0
2
4.3 3.5
3
2.1
3.
Q1 = 1
I.Q.R. = 2
Q3 = 3
M.A.D. = 0.8
5.4
7
5
2.4
4.
2) 9, 5, 1, 2, 2, 7
Mean = 4.3
Number
1
2
2
5
7
9
5.4
7
5
2.3
5.
1, 2, 2, 5, 7, 9
Distance 3.3 2.3 2.3 0.7 2.7 4.7
Median = 3.5
Q1 = 2
I.Q.R. = 5
5.4 5.5
2
1.4
Q3 = 7
6.
M.A.D. = 2.7
5.6
7
6.5
3
7.
3) 3, 4, 1, 9, 3, 6
Mean = 4.3
Number
1
3
3
4
6
9
1, 3, 3, 4, 6, 9
Median = 3.5
Distance 3.3 1.3 1.3 0.3 1.7 4.7
Q1 = 3
I.Q.R. = 3
Q3 = 6
M.A.D. = 2.1
4) 8, 7, 8, 3, 7, 2, 3
Mean = 5.4
Number
2
3
3
7
7
8
8
2, 3, 3, 7, 7, 8, 8
Distance 3.4 2.4 2.4 1.6 1.6 2.6 2.6
Median = 7
Q1 = 3
I.Q.R. = 5
Q3 = 8
M.A.D. = 2.4
5) 2, 8, 7, 1, 7, 6, 7
Mean = 5.4
Number
1
2
6
7
7
7
8
1, 2, 6, 7, 7, 7, 8
Distance 4.4 3.4 0.6 1.6 1.6 1.6 2.6
Median = 7
Q1 = 2
I.Q.R. = 5
Q3 = 7
M.A.D. = 2.3
6) 6, 6, 9, 5, 6, 3, 4, 4
Mean = 5.4
Number
3
4
4
5
6
6
6
9
3, 4, 4, 5, 6, 6, 6, 9
Median = 5.5
Distance 2.4 1.4 1.4 0.4 0.6 0.6 0.6 3.6
Q1 = 4
I.Q.R. = 2
Q3 = 6
M.A.D. = 1.4
7) 2, 6, 9, 8, 2, 8, 1, 9
Mean = 5.6
Number
1
2
2
6
8
8
9
9
1, 2, 2, 6, 8, 8, 9, 9
Distance 4.6 3.6 3.6 0.4 2.4 2.4 3.4 3.4
Median = 7
Q1 = 2
I.Q.R. = 6.5
Q3 = 8.5
M.A.D. = 3
1-7
86 71 57 43 29 14 0
5
Math

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