Examining Data Sets Worksheet Page 4
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20Answer 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) 8, 6, 8, 6, 7
7
7
2
0.8
Mean = 7
Number
6
6
7
8
8
Ex.
6, 6, 7, 8, 8
Median = 7
Distance 1
1
0
1
1
Q1 = 6
I.Q.R. = 2
4.8
5
4.5 1.8
1.
Q3 = 8
M.A.D. = 0.8
6.7
8
4
2.1
2.
1) 1, 8, 4, 6, 5
Mean = 4.8
Number
1
4
5
6
8
1, 4, 5, 6, 8
Median = 5
Distance 3.8 0.8 0.2 1.2 3.2
4.3
5
2
1.2
3.
Q1 = 2.5
I.Q.R. = 4.5
Q3 = 7
M.A.D. = 1.8
4.7
5
4
1.8
4.
2) 8, 4, 8, 3, 8, 9
Mean = 6.7
Number
3
4
8
8
8
9
4.9
4
6
2.4
5.
3, 4, 8, 8, 8, 9
Distance 3.7 2.7 1.3 1.3 1.3 2.3
Median = 8
Q1 = 4
I.Q.R. = 4
5.9
6
4
1.9
Q3 = 8
6.
M.A.D. = 2.1
5.3 5.5 6.5 2.8
7.
3) 3, 5, 6, 5, 2, 5
Mean = 4.3
Number
2
3
5
5
5
6
2, 3, 5, 5, 5, 6
Median = 5
Distance 2.3 1.3 0.7 0.7 0.7 1.7
Q1 = 3
I.Q.R. = 2
Q3 = 5
M.A.D. = 1.2
4) 1, 5, 5, 3, 8, 7, 4
Mean = 4.7
Number
1
3
4
5
5
7
8
1, 3, 4, 5, 5, 7, 8
Distance 3.7 1.7 0.7 0.3 0.3 2.3 3.3
Median = 5
Q1 = 3
I.Q.R. = 4
Q3 = 7
M.A.D. = 1.8
5) 4, 1, 2, 9, 8, 4, 6
Mean = 4.9
Number
1
2
4
4
6
8
9
1, 2, 4, 4, 6, 8, 9
Distance 3.9 2.9 0.9 0.9 1.1 3.1 4.1
Median = 4
Q1 = 2
I.Q.R. = 6
Q3 = 8
M.A.D. = 2.4
6) 4, 8, 8, 4, 6, 6, 9, 2
Mean = 5.9
Number
2
4
4
6
6
8
8
9
2, 4, 4, 6, 6, 8, 8, 9
Median = 6
Distance 3.9 1.9 1.9 0.1 0.1 2.1 2.1 3.1
Q1 = 4
I.Q.R. = 4
Q3 = 8
M.A.D. = 1.9
7) 8, 5, 9, 1, 1, 6, 3, 9
Mean = 5.3
Number
1
1
3
5
6
8
9
9
1, 1, 3, 5, 6, 8, 9, 9
Distance 4.3 4.3 2.3 0.3 0.7 2.7 3.7 3.7
Median = 5.5
Q1 = 2
I.Q.R. = 6.5
Q3 = 8.5
M.A.D. = 2.8
1-7
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