Logo
Home Study Material Contact Search
AI Chat FREE
  1. mathematics
  2. basic math
  3. use the magnitudes? (richter scale) of the earthqu

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

Free

60.1K

Verified Solution

Question

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.
Get Answers to Unlimited Questions

Join us to gain access to millions of questions and expert answers. Enjoy exclusive benefits tailored just for you!

Membership Benefits:
  • Unlimited Question Access with detailed Answers
  • Zin AI - 3 Million Words
  • 10 Dall-E 3 Images
  • 20 Plot Generations
  • Conversation with Dialogue Memory
  • No Ads, Ever!
  • Access to Our Best AI Platform: Flex AI - Your personal assistant for all your inquiries!
Become a Member

Other questions asked by students

Q

Assume you are the CFO of a company. Your analystreports the following information (Use...

Accounting
Q

Compare and contrast cardiac and skeletal muscle in the following: Cellular structure Excitation-Contraction Coupling Action potential of Skeletal Muscle...

Medical Sciences
Q

In Polymerase Chain Reaction or PCR The RNA needs to be denatured first A heating...

Biology
Q

A New muscle relaxantin foil is available The lapse between administration of the drug beginning...

Statistics
Q

A company makes computer chips from square wafers of silicon. A process engineer wants to...

Calculus
Q

Analyze the diagram below and complete the instructions that follow E 330 Find DE A...

Algebra
Q

Presented below is...

Accounting
Q

Hello, I need calculations to the problems. I need for you to include the dollar...

Accounting
Q

of this point in time (year to date), the overhead is a. $434,000 underapplied b....

Accounting
Q

Current Position Analysis The following data were taken from the balance sheet of Albertini Company...

Accounting
Q

Suresh is saving for the down payment on a house; he wants to save $71,000.00....

Finance
Q

17 Question 17 (1 point) Listen Based on the equation Y...

Finance