Examining Data Sets Worksheet Page 11
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20Name:
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) 9, 1, 1, 6, 6
4.6
6
6.5 2.9
Mean = 4.6
Number
1
1
6
6
9
Ex.
1, 1, 6, 6, 9
Median = 6
Distance 3.6 3.6 1.4 1.4 4.4
Q1 = 1
I.Q.R. = 6.5
4.8
6
6
2.6
1.
Q3 = 7.5
M.A.D. = 2.9
5.3
5
5
2
2.
1) 7, 1, 8, 2, 6
Mean = 4.8
Number
1
2
6
7
8
1, 2, 6, 7, 8
Median = 6
Distance 3.8 2.8 1.2 2.2 3.2
4.5 4.5
2
1.2
3.
Q1 = 1.5
I.Q.R. = 6
Q3 = 7.5
M.A.D. = 2.6
3.7
3
5
2.2
4.
2) 3, 8, 8, 4, 6, 3
Mean = 5.3
Number
3
3
4
6
8
8
3.4
4
3
1.5
5.
3, 3, 4, 6, 8, 8
Distance 2.3 2.3 1.3 0.7 2.7 2.7
Median = 5
Q1 = 3
I.Q.R. = 5
6.6
7
3
1.9
Q3 = 8
6.
M.A.D. = 2
4.4 4.5
4
2.1
7.
3) 6, 4, 6, 2, 4, 5
Mean = 4.5
Number
2
4
4
5
6
6
2, 4, 4, 5, 6, 6
Median = 4.5
Distance 2.5 0.5 0.5 0.5 1.5 1.5
Q1 = 4
I.Q.R. = 2
Q3 = 6
M.A.D. = 1.2
4) 1, 3, 1, 2, 6, 5, 8
Mean = 3.7
Number
1
1
2
3
5
6
8
1, 1, 2, 3, 5, 6, 8
Distance 2.7 2.7 1.7 0.7 1.3 2.3 4.3
Median = 3
Q1 = 1
I.Q.R. = 5
Q3 = 6
M.A.D. = 2.2
5) 1, 2, 5, 4, 6, 2, 4
Mean = 3.4
Number
1
2
2
4
4
5
6
1, 2, 2, 4, 4, 5, 6
Distance 2.4 1.4 1.4 0.6 0.6 1.6 2.6
Median = 4
Q1 = 2
I.Q.R. = 3
Q3 = 5
M.A.D. = 1.5
6) 9, 6, 6, 8, 2, 5, 9, 8
Mean = 6.6
Number
2
5
6
6
8
8
9
9
2, 5, 6, 6, 8, 8, 9, 9
Median = 7
Distance 4.6 1.6 0.6 0.6 1.4 1.4 2.4 2.4
Q1 = 5.5
I.Q.R. = 3
Q3 = 8.5
M.A.D. = 1.9
7) 5, 1, 1, 9, 4, 6, 6, 3
Mean = 4.4
Number
1
1
3
4
5
6
6
9
1, 1, 3, 4, 5, 6, 6, 9
Distance 3.4 3.4 1.4 0.4 0.6 1.6 1.6 4.6
Median = 4.5
Q1 = 2
I.Q.R. = 4
Q3 = 6
M.A.D. = 2.1
1-7
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6
Math
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