Examining Data Sets Worksheet Page 15
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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, 9, 7, 5, 4
6.8
7
4.5 1.8
Mean = 6.8
Number
4
5
7
9
9
Ex.
4, 5, 7, 9, 9
Median = 7
Distance 2.8 1.8 0.2 2.2 2.2
Q1 = 4.5
I.Q.R. = 4.5
2.6
2
3.5 1.5
1.
Q3 = 9
M.A.D. = 1.8
5.2
4
4
2.2
2.
1) 2, 1, 6, 3, 1
Mean = 2.6
Number
1
1
2
3
6
1, 1, 2, 3, 6
Median = 2
Distance 1.6 1.6 0.6 0.4 3.4
4.5
5
5
2.2
3.
Q1 = 1
I.Q.R. = 3.5
Q3 = 4.5
M.A.D. = 1.5
5
5
3
1.4
4.
2) 8, 4, 9, 4, 4, 2
Mean = 5.2
Number
2
4
4
4
8
9
5
5
6
2.3
5.
2, 4, 4, 4, 8, 9
Distance 3.2 1.2 1.2 1.2 2.8 3.8
Median = 4
Q1 = 4
I.Q.R. = 4
5.4
5
3.5
2
Q3 = 8
6.
M.A.D. = 2.2
5.5
5
4
2.1
7.
3) 7, 4, 6, 2, 1, 7
Mean = 4.5
Number
1
2
4
6
7
7
1, 2, 4, 6, 7, 7
Median = 5
Distance 3.5 2.5 0.5 1.5 2.5 2.5
Q1 = 2
I.Q.R. = 5
Q3 = 7
M.A.D. = 2.2
4) 7, 5, 1, 6, 7, 5, 4
Mean = 5
Number
1
4
5
5
6
7
7
1, 4, 5, 5, 6, 7, 7
Distance 4
1
0
0
1
2
2
Median = 5
Q1 = 4
I.Q.R. = 3
Q3 = 7
M.A.D. = 1.4
5) 8, 7, 4, 1, 5, 8, 2
Mean = 5
Number
1
2
4
5
7
8
8
1, 2, 4, 5, 7, 8, 8
Distance 4
3
1
0
2
3
3
Median = 5
Q1 = 2
I.Q.R. = 6
Q3 = 8
M.A.D. = 2.3
6) 7, 5, 3, 5, 5, 9, 8, 1
Mean = 5.4
Number
1
3
5
5
5
7
8
9
1, 3, 5, 5, 5, 7, 8, 9
Median = 5
Distance 4.4 2.4 0.4 0.4 0.4 1.6 2.6 3.6
Q1 = 4
I.Q.R. = 3.5
Q3 = 7.5
M.A.D. = 2
7) 8, 5, 9, 5, 1, 4, 4, 8
Mean = 5.5
Number
1
4
4
5
5
8
8
9
1, 4, 4, 5, 5, 8, 8, 9
Distance 4.5 1.5 1.5 0.5 0.5 2.5 2.5 3.5
Median = 5
Q1 = 4
I.Q.R. = 4
Q3 = 8
M.A.D. = 2.1
1-7
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8
Math
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