Examining Data Sets Worksheet
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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) 3, 4, 8, 7, 2
4.8
4
5
2.2
Mean = 4.8
Number
2
3
4
7
8
Ex.
2, 3, 4, 7, 8
Median = 4
Distance 2.8 1.8 0.8 2.2 3.2
Q1 = 2.5
I.Q.R. = 5
6
7
6.5 2.8
1.
Q3 = 7.5
M.A.D. = 2.2
3.7
3
4
1.9
2.
1) 7, 9, 1, 4, 9
Mean =
6
Number
1
4
7
9
9
1, 4, 7, 9, 9
Median = 7
Distance 5
2
1
3
3
5.3 5.5
5
2.3
3.
Q1 = 2.5
I.Q.R. = 6.5
Q3 = 9
M.A.D. = 2.8
8
8
2
0.9
4.
2) 3, 1, 2, 3, 7, 6
Mean = 3.7
Number
1
2
3
3
6
7
4.9
4
7
3
5.
1, 2, 3, 3, 6, 7
Distance 2.7 1.7 0.7 0.7 2.3 3.3
Median = 3
Q1 = 2
I.Q.R. = 4
3.8 3.5 4.5 2.3
Q3 = 6
6.
M.A.D. = 1.9
6.1 6.5 1.5 1.1
7.
3) 9, 5, 6, 3, 1, 8
Mean = 5.3
Number
1
3
5
6
8
9
1, 3, 5, 6, 8, 9
Median = 5.5
Distance 4.3 2.3 0.3 0.7 2.7 3.7
Q1 = 3
I.Q.R. = 5
Q3 = 8
M.A.D. = 2.3
4) 8, 8, 9, 9, 7, 9, 6
Mean = 8
Number
6
7
8
8
9
9
9
6, 7, 8, 8, 9, 9, 9
Distance 2
1
0
0
1
1
1
Median = 8
Q1 = 7
I.Q.R. = 2
Q3 = 9
M.A.D. = 0.9
5) 1, 1, 4, 8, 9, 3, 8
Mean = 4.9
Number
1
1
3
4
8
8
9
1, 1, 3, 4, 8, 8, 9
Distance 3.9 3.9 1.9 0.9 3.1 3.1 4.1
Median = 4
Q1 = 1
I.Q.R. = 7
Q3 = 8
M.A.D. = 3
6) 6, 7, 2, 1, 5, 2, 1, 6
Mean = 3.8
Number
1
1
2
2
5
6
6
7
1, 1, 2, 2, 5, 6, 6, 7
Median = 3.5
Distance 2.8 2.8 1.8 1.8 1.2 2.2 2.2 3.2
Q1 = 1.5
I.Q.R. = 4.5
Q3 = 6
M.A.D. = 2.3
7) 7, 6, 8, 6, 7, 5, 7, 3
Mean = 6.1
Number
3
5
6
6
7
7
7
8
3, 5, 6, 6, 7, 7, 7, 8
Distance 3.1 1.1 0.1 0.1 0.9 0.9 0.9 1.9
Median = 6.5
Q1 = 5.5
I.Q.R. = 1.5
Q3 = 7
M.A.D. = 1.1
1-7
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