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Use the magnitudes? (Richter scale) of the earthquakes listed in the data set below. Find the...

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Basic Math

Use the magnitudes? (Richter scale) of the earthquakes listed inthe data set below. Find the mean and median of this data set. Isthe magnitude of an earthquake measuring 7.0 on the Richter scalean outlier? (data value that is very far away from the? others)when considered in the context of the sample data given in thisdata? set? Explain. Find the mean and median of the data set usinga calculator or similar data analysis technology.

2.83 0.48 1.95 0.59 2.78 1.34 0.04 0.83 0.96 0.36

1.36 1.81 2.67 1.53 2.66 1.39 0.99 0.38 2.44 0.33

2.93 1.07 2.61 0.01 1.18 2.35 1.06 2.78 2.47 0.54

2.18 2.94 0.37 1.95 2.79 1.57 2.82 0.76 2.96 2.98

2.13 1.04 0.17 1.78 0.98 2.72 1.99 1.35 1.73 0.03

Is the magnitude of an earthquake measuring 7.0 on the Richterscale an outlier when considered in the context of the sample data?given?

Answer & Explanation Solved by verified expert
4.2 Ratings (519 Votes)

putting above data in ascending order:

s. no x
1 0.01
2 0.03
3 0.04
4 0.17
5 0.33
6 0.36
7 0.37
8 0.38
9 0.48
10 0.54
11 0.59
12 0.76
13 0.83
14 0.96
15 0.98
16 0.99
17 1.04
18 1.06
19 1.07
20 1.18
21 1.34
22 1.35
23 1.36
24 1.39
25 1.53
26 1.57
27 1.73
28 1.78
29 1.81
30 1.95
31 1.95
32 1.99
33 2.13
34 2.18
35 2.35
36 2.44
37 2.47
38 2.61
39 2.66
40 2.67
41 2.72
42 2.78
43 2.78
44 2.79
45 2.82
46 2.83
47 2.93
48 2.94
49 2.96
50 2.98
total 79.96
average 1.5992

mean =1.5992

median =middle value =(n+1)/2 th value =(1.53+1.57)/2 =1.55

Q1 =(n+1)/4 th value =(50+1)/4 th vale =0.8125

Q3 =(n+1)*3/4 th value =(50+1)*3/4 th vale =2.6225

hence outer fence =Q3+1.5*(Q3-Q1)=5.3375

as earthquake measuring 7.0 falls outside outer fence ; therefore it is an outlier.
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