Problem 1: Eclipses and occults Saturn has five satellites that rotate around the planet. The list below records events occurring during the month of August, 1995, involving eclipses or occults of Saturnian recorded satellites. For each event, the percent of light lost by the eclipsed or occulted satelite is Event Aug 2 Aug 4 Aug 5 Aug 6 Aug 8 Light Loss (%) 61 56 Eclipse Eclipse Occult Eclipse Eclipse Occult Occult Occult Occult Occult Eclipse Occult Occult Occult Occult Occult Occult Occult Occult 46 Aug 11 39 Aug 12 Aug 14 Aug 14 Aug 15 Aug 15 AUg 16 Aug 20 Aug 23 Aug 23 AUg 25 Aug 28 1 20 12 Source: Astronomy magazine. Aug. 1995, p.60 via Statistics (10m ed.] McClave and Sincich, p. 53 Solution a). Stem and Leaf plot for light loss stem unit = 10 leaf unit = 1 Frequency Stem Leaf 8 0 1 1 2 3 4 5 5 9 3 1 1 2 3 2 2 0 0 1 3 9 1 4 6 1 5 6 2 6 1 5 0 7 0 8 0 9 1 10 0 19 b). Stem and Leaf plot for light loss stem unit = 10 leaf unit = 1 Frequency Stem Leaf 8 0 1 1 2 3 4 5 5 9 3 1 1 2 3 2 2 0 0 1 3 9 1 4 6 1 5 6 2 6 1 5 0 7 0 8 0 9 1 10 0 19 (eclipse are marked red) c). Based on above graph, eclipse is more likely lead to greater light loss. Stem and Leaf plot for light loss stem unit = 10 leaf unit = 1 Frequency Stem Leaf 8 0 1 1 2 3 4 5 5 9 3 1 1 2 3 2 2 0 0 1 3 9 1 4 6 1 5 6 2 6 1 5 0 7 0 8 0 9 1 10 0 19.

1. Problem 1: Eclipses and occults Saturn has five satellites that rotate around the planet. The list
below records events occurring during the month of August, 1995, involving eclipses or occults
of Saturnian recorded satellites. For each event, the percent of light lost by the eclipsed or
occulted satelite is Event Aug 2 Aug 4 Aug 5 Aug 6 Aug 8 Light Loss (%) 61 56 Eclipse Eclipse
Occult Eclipse Eclipse Occult Occult Occult Occult Occult Eclipse Occult Occult Occult Occult
Occult Occult Occult Occult 46 Aug 11 39 Aug 12 Aug 14 Aug 14 Aug 15 Aug 15 AUg 16 Aug
20 Aug 23 Aug 23 AUg 25 Aug 28 1 20 12 Source: Astronomy magazine. Aug. 1995, p.60 via
Statistics (10m ed.] McClave and Sincich, p. 53
Solution
a).
Stem and Leaf plot for
light loss
stem unit =
10
leaf unit =
1
Frequency
Stem
Leaf
8
0
1 1 2 3 4 5 5 9
3
1
1 2 3
2
2
0 0
1
3
9
1
4
6

2. 1
5
6
2
6
1 5
0
7
0
8
0
9
1
10
0
19
b).
Stem and Leaf plot for
light loss
stem unit =
10
leaf unit =
1
Frequency
Stem
Leaf
8
0
1 1 2 3 4 5 5 9
3
1
1 2 3
2
2
0 0
1

3. 3
9
1
4
6
1
5
6
2
6
1 5
0
7
0
8
0
9
1
10
0
19
(eclipse are marked red)
c).
Based on above graph, eclipse is more likely lead to greater light loss.
Stem and Leaf plot for
light loss
stem unit =
10
leaf unit =
1
Frequency
Stem
Leaf
8
0
1 1 2 3 4 5 5 9

4. 3
1
1 2 3
2
2
0 0
1
3
9
1
4
6
1
5
6
2
6
1 5
0
7
0
8
0
9
1
10
0
19