Examining Data Sets Worksheet Page 6

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Answer Key
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, 8, 6, 8
7.4
8
2.5 1.1
Mean = 7.4
Number
6
6
8
8
9
Ex.
6, 6, 8, 8, 9
Median = 8
Distance 1.4 1.4 0.6 0.6 1.6
Q1 = 6
I.Q.R. = 2.5
6.2
8
5.5 2.6
1.
Q3 = 8.5
M.A.D. = 1.1
5.5 5.5
4
1.8
2.
1) 8, 1, 5, 9, 8
Mean = 6.2
Number
1
5
8
8
9
1, 5, 8, 8, 9
Median = 8
Distance 5.2 1.2 1.8 1.8 2.8
5.5
6
3
1.7
3.
Q1 = 3
I.Q.R. = 5.5
Q3 = 8.5
M.A.D. = 2.6
7.3
8
2
1.1
4.
2) 8, 8, 5, 6, 4, 2
Mean = 5.5
Number
2
4
5
6
8
8
4.6
4
4
1.5
5.
2, 4, 5, 6, 8, 8
Distance 3.5 1.5 0.5 0.5 2.5 2.5
Median = 5.5
Q1 = 4
I.Q.R. = 4
4.8 5.5 2.5 1.6
Q3 = 8
6.
M.A.D. = 1.8
2.5
2
1.5 0.9
7.
3) 6, 3, 6, 3, 9, 6
Mean = 5.5
Number
3
3
6
6
6
9
3, 3, 6, 6, 6, 9
Median = 6
Distance 2.5 2.5 0.5 0.5 0.5 3.5
Q1 = 3
I.Q.R. = 3
Q3 = 6
M.A.D. = 1.7
4) 8, 7, 5, 8, 9, 6, 8
Mean = 7.3
Number
5
6
7
8
8
8
9
5, 6, 7, 8, 8, 8, 9
Distance 2.3 1.3 0.3 0.7 0.7 0.7 1.7
Median = 8
Q1 = 6
I.Q.R. = 2
Q3 = 8
M.A.D. = 1.1
5) 7, 4, 2, 3, 4, 7, 5
Mean = 4.6
Number
2
3
4
4
5
7
7
2, 3, 4, 4, 5, 7, 7
Distance 2.6 1.6 0.6 0.6 0.4 2.4 2.4
Median = 4
Q1 = 3
I.Q.R. = 4
Q3 = 7
M.A.D. = 1.5
6) 2, 6, 5, 1, 6, 6, 5, 7
Mean = 4.8
Number
1
2
5
5
6
6
6
7
1, 2, 5, 5, 6, 6, 6, 7
Median = 5.5
Distance 3.8 2.8 0.2 0.2 1.2 1.2 1.2 2.2
Q1 = 3.5
I.Q.R. = 2.5
Q3 = 6
M.A.D. = 1.6
7) 4, 1, 2, 2, 4, 3, 2, 2
Mean = 2.5
Number
1
2
2
2
2
3
4
4
1, 2, 2, 2, 2, 3, 4, 4
Distance 1.5 0.5 0.5 0.5 0.5 0.5 1.5 1.5
Median = 2
Q1 = 2
I.Q.R. = 1.5
Q3 = 3.5
M.A.D. = 0.9
1-7
86 71 57 43 29 14 0
3
Math

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