Examining Data Sets Worksheet Page 20
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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) 5, 6, 3, 6, 2
4.4
5
3.5 1.5
Mean = 4.4
Number
2
3
5
6
6
Ex.
2, 3, 5, 6, 6
Median = 5
Distance 2.4 1.4 0.6 1.6 1.6
Q1 = 2.5
I.Q.R. = 3.5
5.2
6
5
2.2
1.
Q3 = 6
M.A.D. = 1.5
5.3 5.5
3
1.3
2.
1) 1, 4, 6, 8, 7
Mean = 5.2
Number
1
4
6
7
8
1, 4, 6, 7, 8
Median = 6
Distance 4.2 1.2 0.8 1.8 2.8
5.7
5
3
1.7
3.
Q1 = 2.5
I.Q.R. = 5
Q3 = 7.5
M.A.D. = 2.2
4.1
4
4
1.9
4.
2) 3, 7, 5, 4, 6, 7
Mean = 5.3
Number
3
4
5
6
7
7
4.1
4
7
2.5
5.
3, 4, 5, 6, 7, 7
Distance 2.3 1.3 0.3 0.7 1.7 1.7
Median = 5.5
Q1 = 4
I.Q.R. = 3
4
3.5 3.5 1.8
Q3 = 7
6.
M.A.D. = 1.3
5.5
6
4
1.9
7.
3) 4, 7, 4, 9, 4, 6
Mean = 5.7
Number
4
4
4
6
7
9
4, 4, 4, 6, 7, 9
Median = 5
Distance 1.7 1.7 1.7 0.3 1.3 3.3
Q1 = 4
I.Q.R. = 3
Q3 = 7
M.A.D. = 1.7
4) 3, 1, 8, 5, 4, 2, 6
Mean = 4.1
Number
1
2
3
4
5
6
8
1, 2, 3, 4, 5, 6, 8
Distance 3.1 2.1 1.1 0.1 0.9 1.9 3.9
Median = 4
Q1 = 2
I.Q.R. = 4
Q3 = 6
M.A.D. = 1.9
5) 4, 4, 1, 1, 8, 2, 9
Mean = 4.1
Number
1
1
2
4
4
8
9
1, 1, 2, 4, 4, 8, 9
Distance 3.1 3.1 2.1 0.1 0.1 3.9 4.9
Median = 4
Q1 = 1
I.Q.R. = 7
Q3 = 8
M.A.D. = 2.5
6) 1, 6, 4, 6, 7, 3, 2, 3
Mean =
4
Number
1
2
3
3
4
6
6
7
1, 2, 3, 3, 4, 6, 6, 7
Median = 3.5
Distance 3
2
1
1
0
2
2
3
Q1 = 2.5
I.Q.R. = 3.5
Q3 = 6
M.A.D. = 1.8
7) 2, 8, 2, 6, 6, 8, 5, 7
Mean = 5.5
Number
2
2
5
6
6
7
8
8
2, 2, 5, 6, 6, 7, 8, 8
Distance 3.5 3.5 0.5 0.5 0.5 1.5 2.5 2.5
Median = 6
Q1 = 3.5
I.Q.R. = 4
Q3 = 7.5
M.A.D. = 1.9
1-7
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10
Math
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