Examining Data Sets Worksheet Page 7

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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) 7, 6, 4, 9, 9
7
7
4
1.6
Mean = 7
Number
4
6
7
9
9
Ex.
4, 6, 7, 9, 9
Median = 7
Distance 3
1
0
2
2
Q1 = 5
I.Q.R. = 4
7.8
8
2.5
1
1.
Q3 = 9
M.A.D. = 1.6
5.3 5.5
4
2
2.
1) 7, 9, 8, 9, 6
Mean = 7.8
Number
6
7
8
9
9
6, 7, 8, 9, 9
Median = 8
Distance 1.8 0.8 0.2 1.2 1.2
5.5 6.5
4
2
3.
Q1 = 6.5
I.Q.R. = 2.5
Q3 = 9
M.A.D. = 1
4.6
4
2
1.5
4.
2) 9, 7, 6, 5, 2, 3
Mean = 5.3
Number
2
3
5
6
7
9
3.9
4
4
1.9
5.
2, 3, 5, 6, 7, 9
Distance 3.3 2.3 0.3 0.7 1.7 3.7
Median = 5.5
Q1 = 3
I.Q.R. = 4
2.8
2
1.5 1.5
Q3 = 7
6.
M.A.D. = 2
5.9
6
5
2.2
7.
3) 3, 6, 7, 7, 8, 2
Mean = 5.5
Number
2
3
6
7
7
8
2, 3, 6, 7, 7, 8
Median = 6.5
Distance 3.5 2.5 0.5 1.5 1.5 2.5
Q1 = 3
I.Q.R. = 4
Q3 = 7
M.A.D. = 2
4) 1, 7, 6, 4, 4, 6, 4
Mean = 4.6
Number
1
4
4
4
6
6
7
1, 4, 4, 4, 6, 6, 7
Distance 3.6 0.6 0.6 0.6 1.4 1.4 2.4
Median = 4
Q1 = 4
I.Q.R. = 2
Q3 = 6
M.A.D. = 1.5
5) 4, 2, 1, 6, 6, 6, 2
Mean = 3.9
Number
1
2
2
4
6
6
6
1, 2, 2, 4, 6, 6, 6
Distance 2.9 1.9 1.9 0.1 2.1 2.1 2.1
Median = 4
Q1 = 2
I.Q.R. = 4
Q3 = 6
M.A.D. = 1.9
6) 2, 1, 3, 8, 2, 1, 3, 2
Mean = 2.8
Number
1
1
2
2
2
3
3
8
1, 1, 2, 2, 2, 3, 3, 8
Median = 2
Distance 1.8 1.8 0.8 0.8 0.8 0.2 0.2 5.2
Q1 = 1.5
I.Q.R. = 1.5
Q3 = 3
M.A.D. = 1.5
7) 6, 8, 3, 9, 9, 6, 2, 4
Mean = 5.9
Number
2
3
4
6
6
8
9
9
2, 3, 4, 6, 6, 8, 9, 9
Distance 3.9 2.9 1.9 0.1 0.1 2.1 3.1 3.1
Median = 6
Q1 = 3.5
I.Q.R. = 5
Q3 = 8.5
M.A.D. = 2.2
1-7
86 71 57 43 29 14 0
4
Math

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