Examining Data Sets Worksheet Page 13
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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, 5, 5, 6, 3
4.4
5
2.5 1.1
Mean = 4.4
Number
3
3
5
5
6
Ex.
3, 3, 5, 5, 6
Median = 5
Distance 1.4 1.4 0.6 0.6 1.6
Q1 = 3
I.Q.R. = 2.5
4
5
4.5
2
1.
Q3 = 5.5
M.A.D. = 1.1
6.2
7
3
1.8
2.
1) 2, 1, 7, 5, 5
Mean =
4
Number
1
2
5
5
7
1, 2, 5, 5, 7
Median = 5
Distance 3
2
1
1
3
4.8 4.5
6
3.2
3.
Q1 = 1.5
I.Q.R. = 4.5
Q3 = 6
M.A.D. = 2
5.3
5
5
1.8
4.
2) 7, 7, 2, 8, 5, 8
Mean = 6.2
Number
2
5
7
7
8
8
5.1
4
3
2.2
5.
2, 5, 7, 7, 8, 8
Distance 4.2 1.2 0.8 0.8 1.8 1.8
Median = 7
Q1 = 5
I.Q.R. = 3
4.6
5
4
2.1
Q3 = 8
6.
M.A.D. = 1.8
3.4
3
2.5 1.7
7.
3) 2, 2, 1, 7, 8, 9
Mean = 4.8
Number
1
2
2
7
8
9
1, 2, 2, 7, 8, 9
Median = 4.5
Distance 3.8 2.8 2.8 2.2 3.2 4.2
Q1 = 2
I.Q.R. = 6
Q3 = 8
M.A.D. = 3.2
4) 5, 6, 8, 3, 5, 2, 8
Mean = 5.3
Number
2
3
5
5
6
8
8
2, 3, 5, 5, 6, 8, 8
Distance 3.3 2.3 0.3 0.3 0.7 2.7 2.7
Median = 5
Q1 = 3
I.Q.R. = 5
Q3 = 8
M.A.D. = 1.8
5) 4, 1, 7, 4, 4, 7, 9
Mean = 5.1
Number
1
4
4
4
7
7
9
1, 4, 4, 4, 7, 7, 9
Distance 4.1 1.1 1.1 1.1 1.9 1.9 3.9
Median = 4
Q1 = 4
I.Q.R. = 3
Q3 = 7
M.A.D. = 2.2
6) 1, 7, 6, 1, 6, 4, 4, 8
Mean = 4.6
Number
1
1
4
4
6
6
7
8
1, 1, 4, 4, 6, 6, 7, 8
Median = 5
Distance 3.6 3.6 0.6 0.6 1.4 1.4 2.4 3.4
Q1 = 2.5
I.Q.R. = 4
Q3 = 6.5
M.A.D. = 2.1
7) 3, 9, 2, 3, 1, 1, 4, 4
Mean = 3.4
Number
1
1
2
3
3
4
4
9
1, 1, 2, 3, 3, 4, 4, 9
Distance 2.4 2.4 1.4 0.4 0.4 0.6 0.6 5.6
Median = 3
Q1 = 1.5
I.Q.R. = 2.5
Q3 = 4
M.A.D. = 1.7
1-7
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7
Math
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